Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 4/3?

g(x)=m(x+3)+b+4

s(x)=4/3x+b

t(x)=m(x−3)+b+4

h(x)=4/3mx+b

Answers

Answer 1
G over 3 , put 2 so we would come out too 5x time squared
Answer 2

Function transformation involves changing the position of a function

The new function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]

The function is given as:

[tex]\mathbf{y = mx +b}[/tex]

The ratio of the slopes of both segments is given as:

[tex]\mathbf{Ratio = \frac 43}[/tex]

Let the slope of the new segment be m2.

The slope of [tex]\mathbf{y = mx +b}[/tex] is m.

So, we have:

[tex]\mathbf{m_2 : m = \frac 43}[/tex]

Express as fractions

[tex]\mathbf{\frac{m_2 } m = \frac 43}[/tex]

Multiply both sides by m

[tex]\mathbf{m_2 = \frac 43m}[/tex]

From the list of given options,

[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex] has a slope of [tex]\mathbf{m_2 = \frac 43m}[/tex]

Hence, the required function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]

Read more about function transformations at:

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Related Questions

graph an equation on the line passing through point P(0, 0) that is perpendicular to the line when y = −9x−1

Answers

the opposite of y=(-9/1)x-1 is y=(9/1)x+1

Solve : 4(4p+6)=16 find the value of p

Answers

Answer:

p=-1/2

Step-by-step explanation:

4(4p+6)=16

4p+6=4

4p=4-6

4p=-2

P=-2/4

p=-1/2

please walk me through how to do this so I can di the other questions​

Answers

Answer:

Axis is a vertical line at x = 2

Vertex is (2, -1)

y-intercept is (0, 3)

Solutions are x = 1 and x = 3

Step-by-step explanation:

To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y

Let us do that

Use x = -1, 0, 1, 2, 3, 4, 5

∵ y = x² - 4x + 3

∵ x = -1

∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8

→ Plot point (-1, 8)

∵ x = 0

∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3

→ Plot point (0, 3)

∵ x = 1

∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0

→ Plot point (1, 0)

∵ x = 2

∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1

→ Plot point (2, -1)

∵ x = 3

∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0

→ Plot point (3, 0)

∵ x = 4

∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3

→ Plot point (4, 3)

∵ x = 5

∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8

→ Plot point (5, 8)

→ Join all the points to form the parabola

From the graph

∵ The axis of symmetry is the vertical line passes through the vertex point

∵ x-coordinate of the vertex point is 2

Axis is a vertical line at x = 2

∵ The coordinates of the vertex point of the parabola are (2, -1)

Vertex is (2, -1)

∵ The parabola intersects the y-axis at point (0, 3)

y-intercept is (0, 3)

∵ x² - 4x + 3 = 0

∵ The solutions of the equation are the values of x at y = 0

→ That means the intersection points of the parabola and the x-axis

∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)

Solutions are x = 1 and x = 3

what is the answer to the question 6*9+6+9?

Answers

Answer:

69

Step-by-step explanation:

6 × 9 + 6 + 9 = 69

Please give me Brainlest!

Answer:

69

Step-by-step explanation:

Original Equation:

6 · 9 + 6 + 9 = ?

Multiply 6 and 9

54

Plug this value back into the equation

54 + 6 + 9

Add 54 to 6

60

Plug this value back into the equation

60 + 9

69

Hope I helped :)

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A triangle has an area of 75 feet, with a base of 10 feet. What is the height?

Answers

Answer:

its 85 feet :)

Olivia has $60 in a savings account. The interest rate is 5% compounded annually. To the nearest cent how much interest will she earn in 2 years

Answers

Answer: She will earn 6 dollars in two years!

Step-by-step explanation: 10% of 60 is 6 because 10 sixes make up 60.

Hope this helps, if not, comment below please!!!

Solve.
5 (2 – 3) < 5W + 20

Answers

Answer:

W > -5

Step-by-step explanation:

5×(-1) < 5W + 20

-5 < 5W + 20

-25 < 5W

-5 < W

W > -5

the median salary for new york yankees in 2008 was $1.875,000. assuming a 160 games season, express this salary in dollars per game

Answers

Answer: 11718.75 I think.

Answer:

$11,718.75

Step-by-step explanation:

If $1,875,000 is the median salary, it means that was the top salary for all the 160 games

So, the answer is simply given by:

$ (1,875,000/160)

= $11,718.75

The temperature was -5 ℉ in Denver and then fell 8 ℉ by the morning.


The temperature was -15 ℉ im Minneapolis and then rose 9 ℉ in the morning.

At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise

The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?

Answers

Answer:

The new temperature is 13 degrees Fahrenheit

Step-by-step explanation:

Miguel earns $70 washing 7 cars. At this rate, how many cars did Miguel wash to earn $110?​

Answers

Answer:

11 cars

Step-by-step explanation:

If he earned 70 cars 7 that means he earned 10 dollars per car. So in order to make 110 dollars he must wash 11 cars.

Answer:

11 cars

Step-by-step explanation:

$70total/7 cars= $10 per car

$110 total/$10 per car= 11 cars

y = (x + 1)(x - 2)
Distribution

Answers

You have to use FOIL (First, Outer, Inner, Last) so it would be y= x^2 -2x + x -2 then combine like terms you get y= x^2 (x squared) -x -2. Hope this helps!!

.
Which ordered pair is a solution to the system of inequalities ?

Answers

answer: (-3, 1)

explanation: the other options mainly make one statement true but not the other. (-3, 1) makes both statements true

Pls help
Simplify the expression: -1.23x + 1.54x + 1.2 + 1.2 + 3.4p

Answers

Answer:

0.31x + 2.4 + 3.4p

Step-by-step explanation:

combine like terms

The answer is 0.31x + 2.4 + 3.4p
You combine like terms

Bruno‘s mother is eight more than twice his age. His father is three years older than his mother is. If all three members have lived a total of 94 years, how old is each family member?

Answers

Answer:

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

Step-by-step explanation:

Given that :

Let

Bruno's age = x

Mothers age = 8 + 2x

Father's age = 8 + 2x + 3 = 2x + 11

x + 8 + 2x + 2x + 11 = 94

5x + 19 = 94

5x = 75

x = 75 /5

x = 15

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

PLEASE ANSWER BOTH!!!WILL GIVE BRAINLIEST!!!

Taylor has a collision deductible of $500 and a Bodily Injury Liability coverage limit of $50,000.

Taylor hits another driver and injures them severely.

The case goes to trial and there is a verdict to compensate the injured person for $40,000.

a) How much does Taylor have to pay?

b) How much does Taylor's insurance pay?

Answers

Answer: she will have to pay $500 and her insurances has to pay $40,000

Step-by-step explanation:

Answer: She will pay 9,000 dollars. Her insurance company will have to pay 7,000.

plz help this is hard and i cant figure it out -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Answers

Answer:

2

Step-by-step explanation:

these are alternative interior angles so they are equal to each other (congruent) soooo

9x + 4 = 3x + 16

subtract:

9x = 3x + 12

6x = 12

divide

x = 2

Is 9 a possible solution for -2x + 4 ≥ -14?

Answers

Answer:

Yes

Step-by-step explanation:

-2(9)+4= -14  and -14 is equal to -14.

Original Price = $ 20, % Markup = 15%

Answers

Answer:

23 dollars

Step-by-step explanation:

so to figure out how much more you grab 20 and multiply by .15 as percent and you will get 3 dollars more so 23

1. Describe one point on the line and the slope of the line graphed below:
O (2,0),
O (-4,2),
O (-4,2), -3
0 (0,1),

Answers

The last one :)
Not 100% sure but yeah-

The line is passing through (2, 0) and (0, 0.8) and the slope is 0.4. Then the correct option is A.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

From the line, we can observe that the line is passing through (2, 0) and (0, 0.8).

Then the slope of the line will be

Slope = (0.8 – 0) / (0 – 2)

Slope = 0.4

Then the correct option is A.

More about the linear system link is given below.

https://brainly.com/question/20379472

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can anyone help ?????

Answers

4/10 because I said so

Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly. How much will Mr.Turner have in the account after 4 years to the nearest dollar?

Answers

Answer:

$9,724.05

Step-by-step explanation:

8000(1+.05)^4= 9724.05

sry if im wrong :)

The amount after 4 years will be equal to $9,724.05

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

Given that Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly.

The amount after 4 years will be calculated as:-

[tex]A = P ( 1 + \dfrac{r}{100})^{nt}[/tex]

[tex]A = 8000 ( 1 + \dfrac{5}{100})^{4}[/tex]

A =  9724.05

Therefore, the amount after 4 years will be equal to $9,724.05.

To know more about Compound interest follow

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Difference of Squares gives which complex factors for the expression x2 +3?

A. (x+3)(x-WB)
B. (x-3)(x-3)
C. (x+3)(x-3)?
D. (x+3)(x-31)

Answers

Step-by-step explanation:

Shortest way to solve this question is to find the factors of the given expression.

The given expression is (x² + 13).

Now we have to factorize it.

(x² + 13) = x² + (√13)²

            = x² + [-(i)²√(13)²]  [Since i = √(-1)]

            = x² - (i√13)²

            = (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-

can someone please help im lost

Answers

Answer:

-146

Step-by-step explanation:

Step-by-step explanation:

putting the value f(-9) in expression

= -(-9)^2-7×(-9)-2

= 81+63-2

=142

hello everyone.
please answer……
The first water pipe fills the tank in 8 minutes and the second in 16 minutes. If both pipes are open in one minute, what part of the tank will not be filled with water?
have a nice day.good bye​

Answers

Answer:

13/16 is the answer. Bad handwriting but try to understand .


Where is the angle of depression?

Where is the angle of elevation?

How far apart are the two buildings?

What’s the height of the taller building?

Answers

Answer:

angle of elevation is at top and depresseion on bottom.

Step-by-step explanation:

far apart and height is calculated with more information

A single die is rolled twice. Find the probability of rolling an odd
number the first time and a number greater than 4 the second time.

Answers

Step-by-step explanation and answer:

The 6 sides of the die are numbered 1,2,3,4,5,6

There are 3 odd and 3 even numbers

probability of an odd number on 1st roll is:

3/6=1/2

When you want A AND B probabilities, you multiply

the events A and B

The number less than 3 are 1,2, so the probability is:

2/6=1/3

so the probability of both events are going to be:

(1/2) *(1/3)=1/6

The vertices of a triangle are A (-2, 2), B (4,10), and C (0, -2). Find the equation of the line that contains
the median through point


The equation of the line is y =________

Answers

Answer:

y = 1/2 x + 3

Step-by-step explanation:

mid point of line BC = (2, 4)

slope of the line containing median (m) = 1/2

y intercept (b)= 3

since y = mx + b

y = 1/2x + 3

The median of a triangle is the line segment joining the any of the vertex to the mid-point of the opposite side of that vertex. The equation of the median through point A is given by y = 1/2x + 3.

What is a Median ?

A median of a triangle is a line segment joining one of the vertex of the triangle to the mid-point of the opposite side.

The median of an equilateral triangle also an angular bisector.

Given that,

The coordinates of A = (-2, 2)

The coordinates of B = (4, 10)

The coordinates of C = (0,-2)

Thus the coordinate mid-point of BC is given by (4+0)/2,(10-2)/2 = (2,4).

Now, to find the equation of median through A there are two points (-2,2) and (2,4).

Thus the equation of median an be written as,

(y-2)/(x+2) = (4-2)/(2-(-2))

=> y - 2 = 1/2(x+2)

=> y = 1/2(x+2) + 2

=> y = 1/2 x + 3

Hence, the equation of the line is y = 1/2 x + 3.

To know more about Median click on,

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A backpack originally costs $35.It is on sale for $22.75. Find the percent of decrease.

21 points bruh and also sub to RahimZ

Answers

12.25 sorry if wrong

Graph the equation y = x2 + 6x + 5 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.

Answers

Answer:

Please check the graph below.

Step-by-step explanation:

Given the function

[tex]y\:=\:x^2\:+\:6x\:+\:5[/tex]

Axis interception points of the function

x-axis interception points can be computed by setting y=0

[tex]x^2+6x+5=0[/tex]

[tex]\left(x+1\right)\left(x+5\right)=0[/tex]

Using the zero factor principle

if  [tex]\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+1=0\quad \mathrm{or}\quad \:x+5=0[/tex]

[tex]x=-1,\:x=-5[/tex]

Hence,

x-axis interception points are: (-1, 0), (-5, 0)

y-axis interception points can be computed by setting x=0

[tex]x^2+6x+5=0[/tex]

[tex]y\:=\:\left(0\right)^2\:+\:6\left(0\right)\:+\:5[/tex]

[tex]y=0+0+5[/tex]

[tex]y=5[/tex]

Hence,

y-axis interception points are: (0, 5)

From the graph, it is clear that at (-3, -4) the parabola changes direction, hence (-3, -4) it the "vertex".

Also at the point x=-2, then y is = -3

So, all the points are labeled and the graph is attached below.

Rosa Went to have a manicure that cost $25 she wanted to tip the technician and 15% and tax is 7% how much did she spend total for the manicure

Answers

The correct answer is $30.5 or $31 if rounded

Explanation:

To find the total Rosa spent on the manicure, it is necessary to calculate the money spent on taxes and the money she tipped to the technician. The process is shown below:

Taxes:

$25 represents 100% of the cost and 7% percent represents the total taxes.

1. Write the values using x as the value you want to know

25 = 100

x   = 7

2. Use cross multiplication

x 100 =  175

3. Solve this equation

x = 175 / 100

x = 1.75 (Total price for taxes)

Tip:

Repeat the process but in this case calculate the 15% of $25

25 = 100

x =  15

x 100 = 375

x = 375 / 100

x = 3.75

Total: Finally, add the three values

$25 (cost of the manicure) + $ 1.75 (taxes) + $3.75 (tip) = $30.5 or $31 if rounded

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