Find the linear function with the following properties

f(0)=1 slope of f=3

F(x)=

Answers

Answer 1

Therefore , the solution of the given problem of function comes out to be f(x) = 3x + 1 is the linear function with the specified properties.

Describe function.

Numerous subjects, including mathematics, numbers, and their subsets, as well as building, construction, and both real and fictitious geographic locations, are covered in the mathematics programme. The relationships between various variable elements that all cooperate to create the same outcome are covered in a work. A utility is composed of several unique parts that, when combined, give particular outcomes for each input.

Here,

The slope-intercept form of the linear function f(x) is written as

=>  f(x) = mx + b,

where m is the slope and b is the y-intercept.

We can infer from the listed characteristics that f(0) = 1 and f's slope is 3.

We have the following equation for a line in the point-slope form:

=>  f - 1 = 3(x - 0) (x - 0)

When we simplify this solution, we obtain:

=> f = 3x + 1

Consequently, f(x) = 3x + 1 is the linear function with the specified properties.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1


Related Questions

Jamie bought a shirt and a jacket for a total price of $164. The cost of the jacket was $17 more than twice the price of the shirt

Answers

The price οf the jacket was $115.

Let's start by defining sοme variables tο represent the unknοwn quantities:

Let x be the price οf the shirt

Let y be the price οf the jacket

Frοm the prοblem statement, we knοw that:

y = 2x + 17 (the cοst οf the jacket was $17 mοre than twice the price οf the shirt)

x + y = 164 (the tοtal cοst οf the shirt and jacket was $164)

We can use these twο equatiοns tο sοlve fοr the values οf x and y. One way tο dο this is tο substitute the expressiοn fοr y frοm the first equatiοn intο the secοnd equatiοn, and then sοlve fοr x:

x + (2x + 17) = 164

3x + 17 = 164

3x = 147

x = 49

Nοw that we knοw the price οf the shirt is $49, we can use the first equatiοn tο sοlve fοr the price οf the jacket:

y = 2x + 17

y = 2(49) + 17

y = 115

Therefοre, the price οf the jacket was $115.

Learn more about equatiοns

https://brainly.com/question/29277124

#SPJ1

Ayudaaaaa no sé cuando vaya a venir a revisar estoooolo

Si 25$ representa el 15% de una cuenta cuanto hay en total en la cuenta?

Answers

Si 25 dólares representan el 15% de una cuenta, podemos usar una regla de tres simple para determinar cuánto hay en total en la cuenta:

15% -----> $25

100% ----> ($25 x 100)/15

100% ----> $166.67

Por lo tanto, hay $166.67 en total en la cuenta.

A single serving of a cereal breakfast bar contains 18 grams of carbohydrates. This is 6%
of the daily recommended allowance for a 2000-calorie diet. How many grams of
carbohydrates are recommended each day for a person on a 2000-calorie diet?
10. A concert was recently held at the civic auditorium. All 5000 tickets were sold.
a. 25% of the tickets were reserved seats that sold for $45 each. What was the total
amount in sales for the $45 tickets?
b. 15% of the tickets were reserved seats that sold for $35 each. What was the total
amount in sales for the $35 tickets?
c. The remainder of the tickets were general admission. How many general admission
tickets were sold?
d. If each general admission ticket sold for $20, what was the total amount in sales for
the general admission tickets?
e. What was the total amount for all ticket sales?

Answers

Answer:

Step-by-step explanation:

a. 25% of 5000 tickets = 0.25 x 5000 = 1250 tickets

Total sales of $45 tickets = 1250 x $45 = $56,250

b. 15% of 5000 tickets = 0.15 x 5000 = 750 tickets

Total sales of $35 tickets = 750 x $35 = $26,250

c. General admission tickets = Total tickets - Reserved tickets

= 5000 - 1250 - 750

= 3000 tickets

d. Total sales for general admission tickets = Number of general admission tickets x Price per ticket

= 3000 x $20

= $60,000

e. Total sales = Sales of $45 tickets + Sales of $35 tickets + Sales of general admission tickets

= $56,250 + $26,250 + $60,000

= $142,500

In the United States, 41% of 18 to 29-year-olds said in a survey held in March 2020 that they turrently subscribed to Hulu. What is the probability in a random sample of 55 18 to 29-year-olds that 20 will say they currently have a subscription to Hulu?

Answers

The probability in a random sample of 55 18 to 29-year-olds that 20 will say they currently have a subscription to Hulu is: 0.087.

How to find the probability?

This is a binomial distribution problem, where n = 55 and the probability of success (i.e. a person subscribing to Hulu) is p = 0.41.

The probability mass function of a binomial distribution is:

P(X = x) = (nCx) * p^x * (1-p)^(n-x)

where nCx is the binomial coefficient (i.e. the number of ways to choose x items from n items).

So, in this case, we want to find P(X = 20):

P(X = 20) = (55C20) * 0.41^20 * (1-0.41)^(55-20)

P(X = 20) ≈ 0.087

Therefore, the probability that in a random sample of 55 18 to 29-year-olds, 20 will say they currently have a subscription to Hulu is approximately 0.087or 8.7%.

Learn more about probability here:https://brainly.com/question/24756209

#SPJ1

Two similar triangles have a scale factor of 2/3. The area of the larger triangle is 27 what is the area of the smaller triangle

Answers

The area of the smaller triangle is 12 square units

How to determine the area of the smaller triangle

If the scale factor between two similar triangles is 2/3

It means that every length of the smaller triangle is 2/3 the length of the corresponding side of the larger triangle.

So, the ratio of their areas is the square of the scale factor

This is represented as

(area of smaller triangle) / (area of larger triangle) = (2/3)^2 = 4/9

We are given that the area of the larger triangle is 27

So, we have

Area of smaller triangle/27 = 4/9

Multiplying both sides by 27, we get:

Area of smaller triangle = (4/9) * 27

Evaluate

Area of smaller triangle = 12

Hence, the area of the smaller triangle is 12.

Read more about triangle at

https://brainly.com/question/14285697

#SPJ1

I need help with this please

Answers

The volume and sum of the composite shape is 13L² and 13V³ respectively

What is a square?

A square is a closed two-dimensional shape (2D shape) with four sides that are equal and parallel to each other. Also, In Euclidean Euclidean geometry, a square is a regular quadrilateral which means that it has four equal sides and four equal angles (90-degree angles, π/2 radian angles, or right angles

The composite is made up of 13 squares in total

The area of 1 square is given as A = S²

The volume of the composite is 13L³ units

Hence there are 13 squares. the sum of the areas and volume of the square is 13 S²

Learn more about the volume of a square on https://brainly.com/question/24314734

#SPJ1

10. In the diagram shown, AC is congruent to DC and ZA and ZD are both right angles. SS | RS 1. GIVEA ACANC ELL X-3 en 1. AC DC LA CALD are rt L's 2 LBCB Reflex Hue propert 344DBC LAB ALE HL Fungh D Prov​

Answers

Answer:

4Step-by-step explanation:

A theme park's rides are rated as mild, moderate and
max. They have restrictions requiring that passengers
have heights of at least 42 inches, 48 inches, and 54
inches, respectively. Suppose the population of children
attending the park has a mean height of 53 inches with
a standard deviation of 4 inches.
If a child is chosen randomly, what is the probability
that: (Round all answers to nearest thousandths)
a) the child can go on all rides?
b) the child can participate in only mild and moderate
rides?
c) the child can only go on mild rides?
d) the child is excluded from all rides?

Answers

Answer:

the probability that a child is excluded from all rides is 0.5000 (rounded to three decimal places).

Step-by-step explanation:

We can use the standard normal distribution to solve this problem. We first need to standardize the height requirements using the population mean and standard deviation.

a) To find the probability that a child can go on all rides, we need to find the probability of getting a height of at least 54 inches.

z-score = (54 - 53) / 4 = 0.25

Using a standard normal table or calculator, we find that the probability of getting a z-score of 0.25 or greater is 0.4013.

Therefore, the probability that a child can go on all rides is 0.4013 (rounded to three decimal places).

b) To find the probability that a child can participate in only mild and moderate rides, we need to find the probability of getting a height between 42 inches and 48 inches.

First, we find the z-scores for each height requirement:

z-score for 42 inches = (42 - 53) / 4 = -2.75

z-score for 48 inches = (48 - 53) / 4 = -1.25

Using a standard normal table or calculator, we find that the probability of getting a z-score between -2.75 and -1.25 is 0.2375.

Therefore, the probability that a child can participate in only mild and moderate rides is 0.2375 (rounded to three decimal places).

c) To find the probability that a child can only go on mild rides, we need to find the probability of getting a height of less than 42 inches.

z-score = (42 - 53) / 4 = -2.75

Using a standard normal table or calculator, we find that the probability of getting a z-score of -2.75 or less is 0.0030.

Therefore, the probability that a child can only go on mild rides is 0.0030 (rounded to three decimal places).

d) To find the probability that a child is excluded from all rides, we need to find the probability of getting a height less than 42 inches or greater than 54 inches.

First, we find the z-scores for each height requirement:

z-score for 42 inches = (42 - 53) / 4 = -2.75

z-score for 54 inches = (54 - 53) / 4 = 0.25

Using a standard normal table or calculator, we find that the probability of getting a z-score of less than -2.75 or greater than 0.25 is 0.0987 + 0.4013 = 0.5000.

Therefore, the probability that a child is excluded from all rides is 0.5000 (rounded to three decimal places).

Joel bought a container of yogurt that held 8 cups of yogurt. He used a 0.25-cup serving of the
yogurt each day. When 7.25 cups of the yogurt remained, how many 0.25-cup servings had Joel
used from the container?

0.75
2
3
29

Answers

Answer:

3

Step-by-step explanation:

Amount used:

8 - 7.25 = 0.75

He used 0.75 cup

Each day he had 0.25 cup.

0.75/0.25 = 3

Answer: 3

80 pts! please correct answer

What is the end behavior of this radical function?
f(x)=4\sqrt{x-6 }

A.
As x approaches positive infinity, f(x) approaches positive infinity.
B.
As x approaches negative infinity, f(x) approaches positive infinity.
C.
As x approaches positive infinity, f(x) approaches negative infinity.
D.
As x approaches negative infinity, f(x) approaches negative infinity.

Answers

Answer:

The end behavior of the given radical function f(x) = 4√(x-6) as x approaches positive infinity is option A: As x approaches positive infinity, f(x) approaches positive infinity.

Step-by-step explanation:

This is because as x approaches positive infinity, the value inside the square root (x-6) also approaches positive infinity. As the square root of a positive number is also positive, f(x) approaches positive infinity.

We can also see this by using the concept of limits. As x approaches positive infinity, the limit of f(x) can be evaluated as:

lim f(x) = lim 4√(x-6)

x→∞ x→∞

= 4√(lim(x-6))

x→∞

Since the limit of (x-6) as x approaches positive infinity is positive infinity, we have:

lim f(x) = 4√(∞) = ∞

x→∞

Therefore, as x approaches positive infinity, f(x) approaches positive infinity.

Answer:

Step-by-step explanation:

The end behavior of the given radical function f(x) = 4√(x-6) as x approaches positive infinity is option A: As x approaches positive infinity, f(x) approaches positive infinity.

This is because as x approaches positive infinity, the value inside the square root (x-6) also approaches positive infinity.
As the square root of a positive number is also positive, f(x) approaches positive infinity.

We can also see this by using the concept of limits.
As x approaches positive infinity, the limit of f(x) can be evaluated as:

lim f(x) = lim 4√(x-6)x→∞ x→∞= 4√(lim(x-6))x→∞.

Since the limit of (x-6) as x approaches positive infinity is positive infinity, we have:

lim f(x) = 4√(∞) = ∞x→∞.

Therefore, as x approaches positive infinity, f(x) approaches positive infinity.

Find the slope between the following points:(-5,5),and (3,-12) *

Answers

m = (-12 - 5) / (3 - (-5))

m = (-17) / (3 + 5)

m = (-17) / 8

Therefore, the slope between the points (-5, 5) and (3, -12) is -17/8.

Please mark this answer as brainliest if possible.

A quadrilateral with vertices at A(4,-4), B(4, -16), C(12, -16), and D(12,-4) has been dilated with a center at the origin.
The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation?
ㅇㅎ
9
O 3
O 3
09

Answers

Answer:

the scale factor = 3

Step-by-step explanation:

the question is basically saying: how did (12,-4) jump to (36,-12)

we can make d represent the scale factor used to get (12,-4) to (36,-12)

so,

12d = 36

-4d = -12

all there's left to do is to simply solve for d, which is 3

Pls help !! Find the equation of a line parallel to that passes y= 4/3x+4 through the point (3,-7).

Answers

An equation of a line parallel to that passes y = 4/3x + 4 through the point (3, -7) include the following: A. y + 7 = 4/3(x - 3).

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

Since y = 4x/3 + 4, the slope is equal to 4/3.

At data point (3, -7) and a slope of 4/3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-7) = 4/3(x - 3)  

y + 7 = 4/3(x - 3)  

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

Please help me on this: 90 BRAINLY POINTS. Yuri bakes lemon bars in a pan shaped like a right rectangular prism. The volume of the pan is 150 cubic inches. The width of the pan is 7 1/2 inches, and its height is 2 inches.


What is the length of the pan?


Enter your answer in the box

Answers

Answer:

length of the pan is 10 inches

Step-by-step explanation:

Volume = length x width x height

V = lwh

l = (V) / (wh) = (150 in³) / (7.5 in)(2 in) = 10 in

Question 1
Find the unpaid balance, new interest, and purchasing power on the credit card after the minimum monthly payment is made. The interest charge for unpaid balances is 18% per year.
Credit Card Balance = $5000
Credit Limit = $5000
Minimum Payment = $125.00

Answers

After making the minimum payment of $125, the unpaid balance on the credit card is $4875, the new interest charge is $75, and the purchasing power is $50.

How to find the purchasing power?

If the minimum monthly payment of $125 is made, we can calculate the new balance, unpaid balance, and interest charge as follows:

The interest rate per month is (18% per year) / 12 = 1.5% per month.

First, we calculate the interest charge for the month on the unpaid balance:

Interest charge = (1.5% per month) x ($5000 unpaid balance)

Interest charge = $75

Next, we subtract the minimum payment from the unpaid balance to get the new unpaid balance:

Unpaid balance = $5000 - $125

Unpaid balance= $4875

Then, we add the interest charge to the new unpaid balance to get the new balance:

New balance = $4875 + $75

New balance = $4950

Finally, we can calculate the purchasing power as the credit limit minus the new balance:

Purchasing power = $5000 - $4950

Purchasing power = $50

Therefore the unpaid balance on the credit card is $4875, the new interest charge is $75, and the purchasing power is $50.

Learn more about purchasing power here:https://brainly.com/question/28199500

#SPJ1

The box plot shows some information about the distribution of the amounts of money spent by some male students on their holidays.

i got part b correct but i cant figure out part a, please help

Answers

The interquartile range for the amounts of money spent by some male students on their holidays is £ 160.

How to find the interquartile range ?

To find the interquartile range (IQR) on a box plot, the IQR is the difference between the upper and lower quartiles. The upper quartile (Q3) is the median of the upper half of the data, and the lower quartile (Q1) is the median of the lower half of the data.

The interquartile range for the amount spent by male students on their holidays is :

= Q3 - Q 1

= 800 - 640

= £ 160

Find out more on the interquartile range at https://brainly.com/question/4102829

#SPJ1

find the missing length indicated

Answers

Using Pythagoras theorem, we can find the length of the missing side to be 10 units.

Define Pythagoras theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, also referred to as the Pythagorean theorem.

The Pythagorean Theorem states that the hypotenuse square of a triangle is equal to the sum of the squares of its other two sides.

In the given triangle, the base is given as:

b = 6 units.

height, h = 8 units.

Let the missing side be = x.

Now as per the Pythagoras theorem,

x² = 8² + 6²

⇒ x² = 64 + 36

⇒ x² = 100

⇒ x = 10.

Therefore, the length of the missing side of the triangle here is 10 units.

To know more about Pythagoras theorem, visit:

https://brainly.com/question/343682

#SPJ1

Add one number to each column of the table so that it shows a function. Do not repeat an ordered pair that is in the table.


Click on the numbers you want to select and drag them into the table.


x y


6 6


3 8


9 12


7 8

x y
Find x,y value
Given numbers- 3,6,7,8,9,12

Answers

The values of x and y such that the table represents a function are given as follows:

x = 8, y = 7.

When does a relation represents a function?

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

The input-output pairs for the function in this problem are given as follows:

An input of 6 is mapped to an output of 6.An input of 3 is mapped to an output of 8.An input of 9 is mapped to an output of 12.An input of 7 is mapped to an output of 8.

Hence the x-value can only by 8 or 12, and we choose y = 8, while the y-value is free, hence we choose y = 7.

More can be learned about relations and functions at https://brainly.com/question/12463448

#SPJ1

Find the value of x.

Answers

Answer:

8

Step-by-step explanation:

line WL is a straight line intersecting line GZ at J so angles LJW is 180o

therefore

LJG + GJH + HJW = 180

9x + 90 + 18 = 180

9x = 180 - 90 - 18

9x = 72

x = 72/9 = 8

An automobile company is running a new television commercial in five cities with approximately the same population. The following table shows the number of times the commercial is run on TV in each city and the number of car sales (in hundreds). Find the Pearson correlation coefficient r for the data given in the table. Round any intermediate calculations to no less than six decimal places, and round your final answer to three decimal places.

Answers

Therefore , the solution of the given problem of data plot comes out to be value (r) is roughly 0.975.

Data plot: What is it?

The most typical way to display data in a graph is to demonstrate how two additional factors relate to one another. Digital and hand-drawn sketches are both acceptable. From the beginning position, move two or more pieces to the correct and three pieces up. The reference system must display the numerals for positions 2, 3, and 4. In your points, be very clear. The pinkish haze with the letter P stands in for the number 2.3.

Here,

We must compute several numbers in order to determine the Pearson correlation coefficient r for the information provided in the table.

Before anything else, we figure out the average and standard deviation of the amount of TV airings (x) and car sales (y):

mean(x) = (40 + 30 + 20 + 50 + 10) / 5 = 30

mean(y) = (30 + 20 + 10 + 40 + 20) / 5 = 24

These mean numbers allow us to determine the standard deviation:

=> SX = √ (( (40-30)² + (30-30)² + (20-30)² + (50-30)² + (10-30)²) / 4)

≈> 15.81

=> SY = √(( (30-24)²+ (20-24)² + (10-24)² + (40-24)² + (20-24)²) / 4)

≈> 8.16

Next, we determine x and y's covariance:

=> cov(x,y) =

=> [(40-30)(30-24) + (30-30)(20-24) + (20-30)(10-24) + (50-30)(40-24) + (10-30)(20-24)] / 4

≈>  125

Last but not least, we can figure out the Pearson association coefficient:

0.975 r = cov(x,y) / (s x * s y)

As a result, the table's data's Pearson correlation value (r) is roughly 0.975. This shows a significant positive correlation between the volume of car purchases and the frequency of the TV ad.

To know more about plotting data visit:

https://brainly.com/question/29096917

#SPJ1

On a farm there are 600 animals distributed in two areas. Of the 600 animals, 4/6 are in zone A and the rest in zone B.
What part of the animals is in zone b?
How many animals are there in each part?

Answers

Answer:

[tex]A=\frac{4}{6} *600 = 400\\B=\frac{2}{6} *600 = 200[/tex]

What is the standard error σM for this sample? (rounded to the nearest tenth: e.g. 2.2)

Answers

To calculate the standard error σM for a sample, we can use the formula [tex]σM = s / \sqrt{n}[/tex], where s: sample standard deviation and n: sample size.

The formula for calculating the standard error, M, which indicates the standard deviation of the sampling distribution of the mean, is as follows:

[tex]σM = σ / \sqrt{n}[/tex]

where σ: population standard deviation and n: sample size.

If we don't know the population standard deviation, we estimate it using the sample standard deviation s. We use formula:

[tex]σM = s / \sqrt{n}[/tex]

We can apply the method above with the sample size n and the sample standard deviation s if we are given a sample and asked to determine the standard error M for this sample.

By adding up each value in the sample and dividing by the sample size, we can determine the sample mean x, from which we may compute the sample standard deviation. The sample variance is then determined by adding up the squared deviations between each value and the sample mean, then dividing the result by the sample size less one. Lastly, we calculate the sample standard deviation by taking the square root of the sample variance.

Once we have calculated the sample standard deviation s and the sample size n, we can plug these values into the formula for σM:

[tex]σM = s / \sqrt{n}[/tex]

and calculate standard error.

In conclusion, the formula M = s / [tex]\sqrt{n}[/tex]n, where s: sample standard deviation and n: sample size, can be used to compute the standard error M for a sample.

Learn more about standard error here:

https://brainly.com/question/13179711

#SPJ1

Using the growth accounting equation, if the growth rate of output is 5 percent, the growth rate of labor is 4 percent, the growth rate of technology is 3
percent, and a = 0.8, then the growth rate of capital can be estimated to be:
Multiple Choice
O
1.2 percent.
1.5 percent.
2.0 percent.
1.0 percent.

Answers

The answer is (B) 1.5 percent.

You can find the growth accounting equation by using:

Growth rate of output equals Technology growth rate plus a* Capital growth rate plus (1-a*Labor growth rate)

Inputting the values provided yields:

5% equals 3% plus (0.8 * Capital Growth Rate) plus (0.2 * 4%).

When we simplify the equation, we obtain:

Capital growth rate equals (5% - 3% - 0.2%) / 0.8, or 1.5%

As a result, the capital growth rate is predicted to be 1.5%.

(B) 1.5 percent is the right answer.

To know more about Percent visit:

https://brainly.com/question/16242050

#SPJ1

Consider the graph of 5x² + 8x + 4y² - 4y = 70.

If the graph of 5x² + 8x + 4y - 4y = 70 is stretched horizontally by a factor of 3, the equation of the stretched graph will be

If the graph of 5x² + 8x + 4y² - 4y = 70 is stretched vertically by a factor of 7, the
equation of the stretched graph will be

Answers

To stretch the graph horizontally by a factor of 3, we need to multiply the x-coefficient by 1/3. Similarly, to stretch the graph vertically by a factor of 7, we need to multiply the y-coefficient by 1/7. Therefore:

Horizontally stretched graph: 5(1/3x)² + 8(1/3x) + 4y² - 4y = 70

Simplifying:

(5/9)x² + (8/3)x + 4y² - 4y = 70

Vertically stretched graph: 5x² + 8x + 4(1/7y)² - 4(1/7)y = 70

Simplifying:

5x² + 8x + (4/49)y² - (4/7)y = 70

Question 11 (1 point)
Mary Ellen is making a table cloth for a client's dining room. She selected some pale-
yellow linen from a craft store and has it laid out on her work table to cut into the
correct shape. What tool is Mary Ellen MOST LIKELY going to use to cut the linen?
Scissors
Shears
A measuring tape
A Color Scheme Guide

Answers

Answer:

Mary Ellen is MOST LIKELY going to use shears to cut the linen.

The radius of a cylindrical construction pipe is 2.5 ft. If the pipe is 20 ft long, what is its volume…..

Answers

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height (or length) of the cylinder.

In this case, the radius of the cylindrical construction pipe is 2.5 ft and the length is 20 ft. So, the volume can be calculated as:

V = π(2.5)^2(20)
= 125π cubic feet

Therefore, the volume of the cylindrical construction pipe is 125π cubic feet.

To emphasize the slow increase in sales, it would be best for Samantha to use graph B or graph A for her presentation

Answers

Answer:

Graph A

Step-by-step explanation:

As can be seen, the trend in graph A is increasing with each month but not seemingly by as much as graph B;

This is because the scale of the y-axis in graph B has smaller increments;

This creates the impression of a slow increase in sales even though the data in both graphs is actually the same.

Answer: graph A.

appear to increase less.

Step-by-step explanation:

Find an equation for the graph.

Answers

The equation for the trigonometric graph is y = 2sin4x

What is a trigonometric graph?

A trigonometric graph is the graph of a trigonometric function.

Since we desire to find the equation of the graph, we then want to use the equation for the general sine graph.

y = AsinBx where

A = amplitude and B = 2π/T where T = period.

Now, A = (maximum - minimum)/2

From the graph,

maximum = 2 and minimum = -2

So, we now substitute the variables into the equation, thus

A = (maximum - minimum)/2

= [2 - (-2)]/2

= (2 + 2)/2

= 4/2

= 2

Also B = 2π/T

Now from the graph, T = π/2

So,  we substitute for B in the equation for B, thus

B = 2π/T

= 2π/(π/2)

= 2π × 2/π

= 4

We then substitute A and B into y, thus

y = AsinBx

= 2sin4x

So, y = 2sin4x

Learn more about trigonometric graph here:

https://brainly.com/question/29718746

#SPJ1

2. The graph of f(x) = -x² +8x+ 20 is sketched below. The graph intersects the x-axis at (-2;0) and (10;0), and the y — axis at (0; 20). The point (4;36) is the turning point of f. -2 20 0 Y (4:36) 1 10 the a is called th T​

Answers

To find the value of p for which the equation -x^2 + 8x + p = 0 has equal roots, we need to use the discriminant of the quadratic formula, which is b^2 - 4ac. If the discriminant is equal to zero, then the equation has equal roots.

In this case, the equation is -x^2 + 8x + p = 0. Comparing this to the standard quadratic equation ax^2 + bx + c = 0, we can see that a = -1, b = 8, and c = p.

To find the discriminant, we can substitute these values into the formula:

b^2 - 4ac = 8^2 - 4(-1)(p) = 64 + 4p

We want this expression to be equal to zero, so we can set it equal to zero and solve for p:

64 + 4p = 0
4p = -64
p = -16

Therefore, the value of p for which -x^2 + 8x + p = 0 has equal roots is -16.

Write an equivalent expression for 24x + 16

Answers

E assim cara 8(3x+2)
Other Questions
The purpose of a code of conduct is to provide employees with guidance on appropriate behavior with the ultimate goal of positively impacting stakeholder relationships. Review the BP Values & Code of Conduct section of their website and select two areas where Tony Hayward failed. If you were hired by BP as an advisor to Tony Hayward during this difficult time, how would you advise him to act in his role and with the press in order to improve the damaged relationships? please helpp!!! A sum of money was shared among three children John, Bob and Henry in the ratio 3:2:1 respectively. If Bob's share was $1 000, how much was John's share? Best answer gets brainliest PLS HELP ASAP! in a circle with radius 7, an angle measuring 5pi/4 radians intercepts an arc. find the length of the arc in simplest form. Find a quadratic function with vertex (3 -4) and passes throughthe point (0,4). This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for . Round to the nearest hundredth. Show your work. A surface or area that is hardened and does NOT allow water to pass through. which of the following is true of purchasing? question 27 options: it can have a significant impact on total supply chain costs. it is critical to satisfy employees' needs and expectations. the delivery of goods and services is the responsibility of the purchasing function of a supply chain. the principal goal of purchasing is to source products from a single supplier to avoid capacity risks. Verify that $\triangle ABC\sim\triangle DEF$ . Find the scale factor of $\triangle ABC$ to $\triangle DEF$ .$\triangle ABC:\ AB\ =\ 10,\ BC\ =\ 16,\ CA\ =\ 20$$\triangle DEF:\ DE\ =\ 25,\ EF\ =\ 40,\ FD\ =\ 50$ The equation x + (75.3 - x) = 75.3 represents the sum of the measuresof two angles. How many possible combinations of angle measures satisfythe equation? 7After discovering that his wife had gone missing from the bicycle theywere sharing, Mr. Harris returns "to where the road broke into four" andseems unable to remember where he has come from. Using what youknow about Mr. Harris, write a narrative story that describes how hechooses which road to take and the experiences he has on his returnjourney. Be sure to use details from the passage in developing this narrative. Solve, (x + 2) (x +3) (x + 2) (x 3) = 0 A coat that costs $72 is marked up by 22%. What is the new price of coat Madison is creating a snowman using three different-sized spheres. What is another name for this 3D shape Madison is creating?Question 10 options:typefacevalueformlead multimedia presentation The following system of equations is designed to determine concentrations (the c's in g / (m ^ 3) ) in a series of coupled reactors as a function of the amount of mass input to each rector (right hand sides in g / d * ay ): 10c_{1} + 2c_{2} - c_{3} = 27 - 3c_{1} - 6c_{2} + 2c_{3} = - 61. 5 c_{1} + c_{2} + 5c_{3} = - 21. 5 Solve this problem with the Jacobi's iterative method to epsilon_{s} =5\% Write 4 to 5 paragraphs On Abraham Lincolns life with your sources please and thank you. How many 3 digit numbers can be formed using numerals in the set 3,2,7, and 9 if repetition is not allowed? What are the points for? I have no idea. Please help 1. A rectangle is 10cm long and its perimeter is 26 cm. Find the breadth of the rectangle