8.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

y = (3x + 4)(−2x − 3)

A. linear function; linear term: −17x; constant term: −12

B. quadratic function; quadratic term: 12x^2; linear term: 18x; constant term: −12

C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12

D. linear function; linear term: −6x^2; constant term: −12

Answers

Answer 1

Answer:

C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12

Step-by-step explanation:

Answer:

quadratic function; quadratic term: −6x² ; linear term: −17x; constant term: −12

Step-by-step explanation:

The given function is

We need to expand the RHS to get:

We can see that the degree of this polynomial function is 2 and hence it is a quadratic function.

The quadratic term is -6x²

The linear term is -17x

The constant term is -12

8. Classify The Function As Linear Or Quadratic And Identify The Quadratic, Linear, And Constant Terms.y
8. Classify The Function As Linear Or Quadratic And Identify The Quadratic, Linear, And Constant Terms.y
8. Classify The Function As Linear Or Quadratic And Identify The Quadratic, Linear, And Constant Terms.y
8. Classify The Function As Linear Or Quadratic And Identify The Quadratic, Linear, And Constant Terms.y

Related Questions

could someone please help me on one of these and explian to me too? plz show work

Answers

Answer:

3) rate of change = -5/4

4) rate of change = 3

5) rate of change = 1

6) steepest slope = #4

7) Please see the attached graph and explanation below

8) Please see the attached graph and explanation below

Step-by-step explanation:

Note:

I will do questions 3, 4, 6, 7, and 8, and will let you work on question 5 (since it involves the same process of solving for the rate of change as questions 3 and 4).  However, the rate of change for question 5 is 1.  

3) Calculate the Rate of Change from the Graph:

The rate of change is essentially the same as the slope of a linear equation, where it represents the ratio of a change in y to a corresponding change in x.  

In order to solve for the rate of change, choose two points from the given graph.  

Let (x₁, y₁) = (0, 200)

     (x₂, y₂) = (80, 100)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (100 - 200)/(80 - 0)

m = -100/80

Reduce to lowest terms by dividing the numerator and the denominator by 20/20:

m = -5/4  

Therefore, the rate of change is -5/4.  

4) Calculate the Rate of Change from the Table:

Similar to what we did in question 3, choose two ordered pairs from the given table:

Let (x₁, y₁)  = (0, -1)

     (x₂, y₂) = (3, 8)  

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

[tex]m = \frac{8 - (-1)}{3 - 0}[/tex]

[tex]m = \frac{8 + 1 }{3}[/tex]

[tex]m = \frac{9}{3}[/tex]

m = 3

Therefore, the rate of change from the given table is 3.

6) Which linear function has the steepest slope?    

The positive-sloped lines whose rate of change has the highest value will have the steepest slope.  For lines with negative slopes (downward-tilting lines), the highest absolute value for its rate of change will have the steepest negative slope.  

Hence, the linear function with the steepest slope is #4 because the value of y changes by 3 units for every unit of change in x values.    

7) Graph the equation: y = -6x - 4:

The linear equation, y = -6x - 4, where the slope, m = -6, and the y-intercept is (0, -4).  

To graph this equation, start by plotting the y-intercept. Then, use the slope, m = -6/1 (down 6 units, run 1 unit to the right) to plot other points on the graph. In doing so, your next graph should occur at point, (1, -10). Connect the two points to create a line that will represent the given equation,  y = -6x - 4.

Technically, two points are sufficient enough to connect and create a line with. Please see the attached screenshot of the graph for y = -6x - 4.

8) Graph the following equation: 3x - 4y = 12

The given linear equation is in its standard form, Ax + By = C. It is easier to graph when the equation is in its slope-intercept form, y = mx + b.

In order to transform the given standard equation to slope-intercept form, start by subtracting 3x from both sides:  

3x - 4y = 12

3x -3x - 4y = -3x + 12

-4y = -3x + 12

Divide both sides by -4 to isolate y:

[tex]\frac{-4y}{-4} = \frac{-3x + 12}{-4}[/tex]

y = ¾x - 3  ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is (0, -3).

Graph:

Similar to how we graphed the equation from question 7, start by plotting the y-intercept (0, -3) on the graph. Then, use the slope, m = ¾ (3 units up, 4 units run), to plot other points on the graph.  Your next point occurs at the x-intercept, (4, 0). The x-intercept is the point on the graph where it crosses the x-axis.  Connect the two points to create a line that will represent the given equation, 3x - 4y = 12.

Please see the attached screenshot of the graph for 3x - 4y = 12.  

PLEASE HELP

What is required in order to win a game of pickleball?

Group of answer choices


The winning team must serve.


The winning team must smash the ball.


The winning team must return service.

Answers

Answer:

I think A

Step-by-step explanation:

Unlike tennis or badminton, only the serving team can win a point.

Answer:

I believe its c but I barely know how to play that

Will give brainly crown (if shown step by steps I'll give half of my entire points)

Felix and Oscar applied for the same credit card from the same bank. The bank checked both of their FICO scores. Felix had an excellent credit rating, and Oscar had a poor credit rating.

a. Felix was given a card with an APR of 14%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.

b. Oscar was given a card with an APR of 21%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.

c. If each of them had an average daily balance of $800 for a specific month, and had to pay a finance charge, how much more would Oscar pay than Felix?

Answers

A) The monthly percentage rate of Felix is;

B) The monthly percentage rate of Oscar is;

C) The amount that Oscar will pay more than Felix is; $0.96

Annual Percentage Rate

A) Felix was given a card with APR of 14%.

Thus;

Monthly percentage rate = 14%/12 = 1.63%

B) Oscar was given a card with an APR of 21%. Thus;

Monthly percentage rate = 21%/12 = 1.75%

C) We are told that each of them had an average daily balance of $800 for a specific month.

Thus;

Amount paid by Felix = 800 * 1.63%

Amount paid by Felix  = $13.04

Amount paid by Oscar = 800 * 1.75%

Amount paid by Oscar = $14

Difference in Payments = $14 - $13.04 = $0.96

Thus, Oscar pays $0.96 more than Felix.

Read more about Annual Percentage rate at; https://brainly.com/question/11686424

a. felix: 14/12 = 1.167% (round to nearest hundredth = 1.17%)

b. oscar 21/12 = 1.75% (no need to round here)

c.

felix: (1.17/100) x 800 = 9.36

oscar: (1.75/100) x 800 = 14.00

14.00 - 9.36 = 4.64

oscar will pay $4.64 more than felix.

Which is not a zero of the function?

HELP please AGAIN

Answers

Answer:

2

Step-by-step explanation:

The zeroes of a function, or the x-intercepts, are just where the line intersects the x-axis. For this function, you can see the line intersects the x-axis at these 3 points:

x = -4

x = 0

x = 5

Those 3 are the zeroes of this function. 2 is not one of them, so that is your answer.

Calculate the simple interest on investing $650 for 3 years at rate of 11% per annum.

Answers

Answer:

214.5 usd

Step-by-step explanation:

blc we will do 650 times 11 .over 100 to get the annual the multiply it by 3

HOPE HELPED!!

What expressions are equivalent to -6+4q+(-6q)

Answers

Simplified answer:

-6 - 2q

Step-by-step explanation:

-6 + 4q + (-6q)

=> -6 + 4q - 6q

=> -6 + (-2q)

=> -6 - 2q

I think this is the expression. Try to simplify your options and see if one of them equal to -6 - 2q. Hoped this helped.

Help is appreciated! Ty

Answers

76 ≤ 4y + 12
64 ≤ 4y
16 ≥ y

Answer:

Step-by-step explanation:

Write the statement "--5 times x subtracted from 22 is less than 9 more than
x" as a mathematical inequality. I dont know this sorry​

Answers

Answer:

5x-22<9<x

Step-by-step explanation:

5 times x = 5x

subtract 22 = 5x-22

less then = 5x-22<

9 more then x = 5x-22<9<x

A line goes through the points (8,11) and (-2,7). What is the slope of the line? Show your work. Write the equation of the line in point-slope form. Show your work. Write the equation of the line in slope-intercept form. Show your work.

Answers

Answer:

Step-by-step explanation:

Determine the value Y, if X is -2
Y=X-12

Answers

10 because -2 minus 12 is 10

Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $68. The perm costs twice as much as her haircut and she needs $5 for lunch .

Answers

Let P=Perm cost
Let H = Haircut cost
Let L = Lunch cost

Perm costs twice as much as haircut so.. P = 2H
L = 5

H + P + L = 68 the total cost is $68

H + 2H + 5 = 68 since P = 2H and L=5

3H + 5 = 68

3H =63

H = 63/3

H = 21

A Haircut is $21
Perm = 2H = 2(21) = $42

Answer:

42 dollars

Step-by-step explanation:

2h+h+5=68

3h+5=68

3h=63 divided by 3

21*2=$42

What is the solution of (sqrt of)1-3x = x+3?

Answers

Answer:

x=-1/2

Step-by-step explanation:

if you need a explanation tell me but I’m in Math class rn

Rewrite 1/3 book for 5/6 an hour as a unit rate.
A.2/5 book/an hour
B. 1/5 book/hour
C. 2 1/2 books/hour
D. 5 books/hour

Answers

In my opinion I think it’s c

Answer:

A

Step-by-step explanation:

round 87,255 to the nearest ten thousand.

Answers

Answer:

90,000

Step-by-step explanation:

Please help I’ll give brainylist in return

Answers

Answer:

Letter A because both of them are SSS

Step-by-step explanation:

The population of the United States was 308,745,538 in 2011. There
were 18,801,310 people in Florida and 9,883,640 people in Michigan.
Compute the probability that a randomly selected US resident in 2011
was living in Florida. Do the same for Michigan. Which is greater?

Answers

Step-by-step explanation:

Given:

Total population: 308745538People in Florida: 18801310People in Michigan: 9883640

Probabilities:

P(F) = People in Florida / Total = 18801310/308745538*100% = 6.09% P(M) = People in Michigan /Total = 9883640/308745538*100% = 3.20%

As we see from the probabilities, there is almost twice difference between Florida and Michigan residents.

Find the minimum and maximum possible values for area of the garden

Answers

Answer:

Smallest: 12.8 square meters

Largest: 13.5 square meters

Step-by-step explanation:

I'm not 100% sure I understand this correctly as it seems like a very strange problem, but here it goes.

The smallest number that rounds to 3.2 is 3.15, and the smallest number that rounds to 4.1 is 4.05.

[tex]3.15*4.05=12.7575[/tex]

The smallest possible area is 12.8 rounded to the nearest 10th.

The largest number that rounds to 3.2 is 3.24999... and the largest that rounds to 4.1 is 4.14999...

[tex]3.24999*4.14999=13.4875[/tex]

That rounds to 13.5.

In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?

Answers

The probability that a student who does not have a brother has a sister is 53.33%.

Probability

Given that in a class of 20 students, 5 have a brother and 11 have a sister, and there are 3 students who have a brother and a sister, to determine what is the probability that a student who does not have a brother has a sister the following calculation must be performed:

20 - 5 = 10011 - 3 = X15 = 1008 = X8 x 100 / 15 = X800 / 15 = X53.33 = X

Therefore, the probability that a student who does not have a brother has a sister is 53.33%.

Learn more about probability in https://brainly.com/question/13553988

a line passes through the point (10,-5) and a slope of -3/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = -3/2x + 10

Step-by-step explanation:

The slope = -3/2

Using the slope = -3/2 and the point (10, -5) substitute into y = mx + b and solve for "b"

y = mx + b

-5 = -3/2(10) + b         -3/2 · 10 = -30/2 = -15

-5 = -15 + b

-5 + 15 = b

 10 = b

The equation of the line is y = -3/2x + 10

Jalil mixed

3/

8 cup of sugar with


1




of water. How many more cups of water

than sugar did he use in his mixture?

Answers

Answer:

Jalil used 5/8 more cups of water than sugar

Step-by-step explanation:

1) Round 26.728 to the nearest integer
What

Answers

I believe it would be 27?

all things algebra unit 5 homework 2

Answers

21-11-23 = 3444
that’s the answe

Determine whether each function is even, odd, or neither.
f(x) = x²_9

g(x) = |x-3

f(x) = 22-1

g(x) = x + x2

Answers

Rule for even

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]

Rule for odd

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]

Here D_f means domain of function.

#1

[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]

Take x=4

[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]

[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]

Even function✓

#2

[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]

Take x=2

[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]

[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]

[tex]\\ \sf\longmapsto -g(2)=-1[/tex]

Odd function✓

#3

[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]

Take x=3

[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]

[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]

[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]

Odd function ✓

#4

[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]

Take x=1

[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]

[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]

[tex]\\ \sf\longmapsto -g(1)=-2[/tex]

Neither✓

Please help, I'm supposed to graph the equations and label the intersection point, it's due this week-
100x + 150y = 3,050
x + y = 23

Answers

Step-by-step explanation:

x=54/1

y=56/4

because 50y=2820

The points A(-3p-3, 2p), B(-5p+1, 0) and C(0, 8p), where p is a constant are collinear. Find: the value of p​

Answers

Answer:

p = 5

Step-by-step explanation:

Since all points are on same line, AB and BC have same slope.

Use slope formula and compare:

m(AB) = (0 - 2p)/(-5p + 1 + 3p + 3) = -2p / (-2p + 4) = p/(p - 2)m(BC) = (8p - 0)/(0 + 5p - 1) = 8p / (5p - 1)m(AB) = m(BC)

Compare and solve for p:

p/(p - 2) = 8p/(5p - 1)8(p - 2) = 5p - 18p - 16 = 5p - 18p - 5p = 16 - 13p = 15p = 5

Can some one help me with this simple project GIVING EXTRA BRAINLIST!!!!

Answers

Okay,

Im not going to do the project because you draw that but, ill give an online overview of ur "project."

please help i really need it.
change the subject of the formula to x
x/6 − 5 = w​

Answers

Step-by-step explanation:

x/6=w+5

x=6(w+5)

x=6w+30.

hope this helps you.

The value of x is x = 6w + 30

Data;

[tex]\frac{x}{6} - 5 = w[/tex]

Subject of Formula

This is a mathematical terms used to represent a value from an entire equation.

In the given equation, we are given a value required to make x the subject of formula

Step 1

Add 5 to both sides of the equation

[tex]\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5[/tex]

Step 2

Cross multiply both sides

[tex]\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30[/tex]

From the calculations above, the value of x is x = 6w + 30

Learn more on subject of formula here;

https://brainly.com/question/790938

The first truck carries 35 tons less rice than the second truck. The number of paddy in the first truck is 2/3 of the amount in the second truck. How many tons of paddy does each cart hold?

Answers

Answer:

First truck = x

Second truck = y

x + 35 = y

x = 2/3y

So

2/3y +35=y

1/3y = 35

y = 35*3

y = 105

And ,

x = 2/3y = 70

The first truck carry 70 tons while the second carry 105 tons

Let the amount the first truck can carry be x

Let the amount the second can carry be y

If the first truck carries 35 tons less rice than the second truck, then;

x = y - 35

If the number of paddy in the first truck is 2/3 of the amount in the second truck

x = 2/3 y

Equate both to have:

2/3 y = y - 35

2/3y - y = -35

-y/3 = -35

y = 105

Since x = 2/3 y

x = 2/3 * 105

x = 70

Hence the first truck carry 70 tons while the second carry 105 tons

Laern more on equations here: https://brainly.com/question/16863577

Two people agree to meet at a given time, but they are both late. the amount of time that they are late is a random variables uniformly distributed between 0 and 10, in minutes. Additionally, the amounts of time they are late are independent. Compute the probability that the person who arrives first will wait more than two minute for the other.

Answers

In my opinion I think it’s 20

What is the solution for the system of equations?

y=−x+4y=x−2
Question 1 options:

(1, 3)

(−2, 1)

(3, 1)

(1, −2)

Answers

Answer:

(3, 1)

Step-by-step explanation:

y = −x + 4

y = x − 2

-x + 4 = x - 2

4 = 2x - 2

6 = 2x

3 = x

y = (3) − 2

y = 1

Answer:

x = 3 and y = 1

Step-by-step explanation:

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