The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of function g? Replace the values of a and k in the function equation

Answers

Answer 1

Answer:

[tex]g(x) = \frac{6}{5}x + 8[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 6x + 8[/tex]

[tex]k = 5[/tex] --- horizontal stretch factor

Required

Find g(x)

When a function is stretched horizontally by k, the resulting function will be:

Rule: [tex]g(x) = f(\frac{1}{k}x)[/tex]

So, we have:

[tex]g(x) = f(\frac{1}{5}x)[/tex]

Solve for: [tex]f(\frac{1}{5}x)[/tex]

[tex]f(\frac{1}{5}x) = 6 * \frac{1}{5}x + 8[/tex]

[tex]f(\frac{1}{5}x) = \frac{6}{5}x + 8[/tex]

Recall that:

[tex]g(x) = f(\frac{1}{5}x)[/tex]

[tex]g(x) = \frac{6}{5}x + 8[/tex]

Answer 2

Answer:

f(1/5x) = 6 ^1/5x  +8

Step-by-step explanation:

A horizontal stretch by a factor of 5 means that the input, or x, is multiplied by : 1/5


Related Questions

PLZZ HELP!! ASAP

Two 3 digit numbers are formed using the same integers and when they are added the form another 3 digit number with the same integers, find the added number?

options
a) 954
b) 682
c) 488
d) 890​

Answers

as for my ans is C...

can you correct me if im wrongX

Which of these is an example of due process?

a search without good reason

a prejudiced jury

a cruel punishment

a fair trial

Answers

Answer:

A fair trial.

Answer:

Step-by-step explanation: a search without good reason

Help Pleaseee, i dont know how to find the period

Answers

Answer:

6 Pi

Step-by-step explanation:

The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.

State if the three numbers can be the measures of the sides of a triangle.
689
No or Yes

Answers

Answer:

Yes

Step-by-step explanation:

6 + 8 = 14 which is bigger than 9 so it is possible

If the two shorter sides add up to a number that is equal to or smaller than the largest side, the triangle is impossible

Mr. Jones has taken a survey of college students and found
that 40 out of 42 students studied last weekend. If the college
has 8,262 students, what is the best estimate of the number of
students who studied last weekend?

Answers

Answer:

B

Step-by-step explanation:

40/42 × 8,262

=7868.571429

=7869 students studied

Answer: C (depends on what order it’s in)

Step-by-step explanation:

40/42 × 8,262

=7868.571429

=7869 students studied

Help just do number 7 please

Answers

Inches more: 19.1

Days more: 39

Step by step: 47.71 - 28.61 = 19.1

Step by step 2: 124 - 85 = 39

Answer:

asheville go 19.1 more inches of rain than wichita.

it rained 39 more days in asheville than Wichita.

Step-by-step explanation:

47.71 inches - 28.61 inches = 19.1 inches

124 days - 85 days = 39 days

Hope this helps❤

the diameter of a billard ball is approximately 6 cm. what is its volume? round your answer to the nearest whole number

Answers

Answer:

The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.

A. 113 cm3

B. 903 cm3

C. 25 cm3

D. 38 cm3

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

6

centimeters

...................................................................................................................................................

For this case we have that by definition, the volume of a sphere is given by:

Where:

r: It is the radius of the sphere

According to the data we have to:

Substituting we have:

The option that best fits is option B.

Answer:  v=113cm3

The option that best fits is option B.

...............................................................................................................................................

Answer:

V ≈ 904 cm³

Step-by-step explanation:

Let r denotes radius

r = 6cm (given)

As it a sphere of radius 6cm,

Volume of a sphere,

V = 4/3 π r³

V = 4/3 (3.14) (6)³

V = 4/3 (3.14) x 216

V = 4 (3.14) x 72

V = 12.56 x 72

V = 904.32 cm³

Rounding off,

V ≈ 904 cm³

...............................................................................................................................................

Answer:

113 cm

Step-by-step explanation:

Can someone Help me please

Answers

Step-by-step explanation:

Given,

In triangle ABC. In triangle DBC

AB. = DB.

[Given]

<ABC. = <DBC

[Given]

BC. = BC

[Common side]

Hence,

As two sides and one angle of triangle ABC and triangle DBC are equal.

Therefore,

Triangle ABC is congruent to Triangle DBC

Lukas depositó $ 3000 en una cuenta de ahorros que genera una tasa de interés del 3.7% compuesto anualmente. ¿Cuál es el valor total de la cuenta después de 5 años?

Answers

Answer:

El valor total de la cuenta después de 5 años es de $3,598.

Step-by-step explanation:

Para encontrar la respuesta, tienes que utilizar la fórmula para encontrar el valor futuro:

VF=VP*(1+i)^n

VF=valor futuro

VP= valor presente=$3000

i=tasa de interés=0.037

n=número de periodos de tiempo=5 años

Ahora, puedes reemplazar los valores en la fórmula:

VF=3,000*(1+0.037)^5

VF=3,000*(1.037)^5

VF=3,598

De acuerdo a esto, la respuesta es que el valor total de la cuenta después de 5 años es de $3,598.

All statements of equality below are correct ? Need help!

Answers

Answer:

True

Step-by-step explanation:

√784/√4 = 28/2 = 14

Answer:

the answer is true

Step-by-step explanation:

because all are equal 14

Someone pls help im new :( tysm if u do:))

Answers

The answer to question 1/3 (-10)(9) is -30.

If this is incorrect, please, don't refrain to tell me. Thank you.

Savannah bought barn wood for $60 for 5 pieces. She spent $40 on materials to paint
and design the decorations. She sells each piece of wood for $25. What is her
profit/loss?

Answers

her profit per each wood is $5 so her total profit is $25

because
60 divided by 5 is 12, so each wood is 12 dollars
she spent 40 dollars on materials so 40 divided by 5 is 8, so she spent $20 on each piece of wood to paint it because 12(price of wood)+8(cost of materials per wood)= 20
and shes sells them for 25
so 25-20=5
5x5=25
so the answer is $25 profited

HELP ME PLEASE I BEQ YOU
!!!!!
Jenna is measuring the length of her textbooks to see if they
will fit in her new desk at school. Jenna's three textbooks
measure 25 centimeters long, 370 millimeters long, and 24
centimeters long. What is the combined length of Jenna's
textbooks if she wants to lay them down side-by-side in her
desk?
A. 86 millimeters
B. 86 centimeters
C. 860 centimeters
D. 8.6 millimeters

Answers

Answer:

86 cm

Step-by-step explanation:

1. convert 370 mm to cm ---> 37 cm

2. add : 25 cm+ 37 cm+ 24 cm = 86 cm

A flagpole 8m high cast a shadow of 12m, while a nearby building cast a shadow of 60m. How high is a building?

Answers

Answer:

40 m

Step-by-step explanation:

8/12=x/60

x=(8*60)/12

x=40

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The height of the building when it cast a shadow of 60 meters is 40 m.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

As it is given that the height of the pole is 8m, while the shadow cast by the pole is 12 m. If we use the ratio of trigonometry then the height of the building can be written as,

[tex]\rm Tan(\theta)= \dfrac{\text{Height of the pole}}{\text{Shadow of the pole}}= \dfrac{\text{Height of the building}}{\text{Shadow of the pole}}[/tex]

[tex]\dfrac{8}{12}= \dfrac{\text{Height of the building}}{\text{60}}\\\\\dfrac{8 \times 60}{12}= {\text{Height of the building}}\\\\\text{Height of the building}=40\ \rm m[/tex]

Hence, the height of the building when it cast a shadow of 60 meters is 40 m.

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

Please help no link as answers

Answers

Step-by-step explanation:

You can imagine this figure as a rectangle and cube

If you want volume of this irregular figure than you have to do it like this:

V(figure)= V(rectangle)+ V(cube)

V(figure)= a*b*c+ a³

V(figure)= 4*3*(I don't see dimension on the left)+ 3³

V(figure)=12*(I don't see dimension on the left)+ 27

And only you have to to do is to set this dimension which I can't see.

Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store. He bought an item that was half price. If the item originally cost $43, what did Dan pay?

Answers

Answer:

$4.30

Step-by-step explanation

$43 x %50 = $21.50

$21.50 x %20 = $4.30

If  the item originally cost $43 then Dan paid $17.20 for the item after the discount.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store.

We have to find the amount paid by Dan after the discount.

If the original price of the item was $43 and it was half price, then Dan paid:

$43 / 2 = $21.50

Dan also gets a 20% discount on this price, so the amount he paid after the discount is:

$21.50 - 0.20($21.50) = $17.20

Therefore, Dan paid $17.20 for the item after the discount.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ3

Factor the expression step by step

Answers

Let's factor this.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?

We need two numbers that...
Add together to get -7
Multiply together to get 10
Can you think of the two numbers?

Try -2 and -5:
-2+-5 = -7
-2*-5 = 10

Fill in the blanks in
(x+_)(x+_)
with -2 and -5 to get...
(x-2)(x-5)

Help please and thank you

Answers

Answer:

1000

Step-by-step explanation:

well just round it to the nearest thousand

45 is the answer :)
hope this helps

If p p and q q vary inversely and p p is 14 when q q is 12, determine q q when p p is equal to 84.

Answers

Answer:

q = 2

Step-by-step explanation:

p α 1/q

p = k/q

Where, k = constant of proportionality

p = 14 ; q = 12

We can obtain the value of k

p = k/q

14 = k/12

k = 14 * 12

k = 168

p = 168/q

pq = 168

q = 168 / p

Value of q, when p = 84

q = 168 / 84

q = 2

Complete the system of linear equations so that there are infinitely many solutions.

Y= -3/5x + 2

blank x+ blank y=20
PLEASE HELPPPPPPP WILL GIVE BRAINLIEST

Answers

Answer:

y-intercept:

(0,2) or just -3/5

Step-by-step explanation:

Answer:

3x + 5y = 2

Step-by-step explanation:

y = -3/5 x + 2

multiply both sides by 5

5y = -3x + 2

add 3x to both sides

3x + 5y = 2

note: if it really has to be equal to 20, then multiply both sides by 10, which will result in 30x + 50y = 20

What is the value of x?
26°
to
X =
= [?]

Answers

Answer:

x = 154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

x = 154°

Pls help will give brainless

Answers

Answer:

56 trucks and 24 cars

Step-by-step explanation:

Multiply each by 8 to continue the linear relationship.

Answer:

The answer is C. 56 trucks and 24 cars

Step-by-step explanation:

24/3 = 8

8 x 7 = 56

(っ◔◡◔)っ ♥ Hope It Helps ♥

Write the equation of each line in slope intercept form

Answers

Y=0.75x + 3
Y=-4x + 4

Step-by-step explanation:

To Find :-

Equation in Slope Intercept Form .

Solution :-

The line passes through (0,2) , therefore ,

> y intercept = 2 .

And slope ,

> m = -0.75

Using slope Intercept Form ,

> y = mx + c

> y = - 0.75 x + 3

How much of a circle does 100 degree angle turn through

Answers

the answer to your question is 5/18

Help ASAP I’ll mark you as brainlister

Answers

The length of an arc AB from the given circle with radius 6in is 15.7in

Length of an arc

The formula for calculating the length of an arc is expressed as:

L = r theta

where

r is the radius = 6in

theta is the central angle = 150 degrees = 5/6π rad

Substitute

L = 6(5/6π)

L = 5π

L = 5(3.14)

L = 15.7in

Hence the length of an arc AB from the given circle with radius 6in is 15.7in

Learn more on length of arc here: https://brainly.com/question/2005046
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What is the length of X to Y
answers r

Answers

Answer:

8.6

Step-by-step explanation:

3/2 inches of snow fell in 3/4 of an hour. Which TWO statements are correct?
A) The unit rate is 2 inches of snow per hour.
B) The unit rate is 3 inches of snow per hour.
C) The unit rate is 9/8 inches of snow each hour.
D) At the same rate, 4 inches of snow will fall in 6 hours.
E) At the same rate, 12 inches of snow will fall in 6 hours.​

Answers

Answer:

A) The unit rate is 2 inches of snow per hour.

&

E) At the same rate 12 inches of snow will fall in 6 hours.

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

did it on usatestprep

A cube has a surface area of 6. What's the volume?

a 1

b 1/6

c 6

d 3/2

Answers

Answer:

Well all sides of a cube are congurent or equal and since the surface area is 6. We can develop a formula to find the missing variables.

Well since the surface area of a cube can be found by using 6a^2 where a is the side lengths.

So since 6a^2=6

Solve

a^2=1

a=1

SO each side is equivalent to 1

Now to find the volume just do LWH and you should get 1 as your answer or in this case (A)

Answer:

V = 1

Step-by-step explanation:

A=6a2

V=a3

Solving for V

V=6A3/2

36=6·63/2

36÷6 = 1

V = 1

What is the slope of the line?

2
-2
1/2
1

Answers

Answer:

the answer to the question is 1

The answer is one, that’s the answer.

Please help with this problem.

Answers

Answer:

d = 28

r = 14

r² = 196

C = 87.92

Step-by-step explanation:

Given:

r = 14

To find diameter:

d = 2r

d = 2(14)

d = 28

To find r²:

14²

196

Circumference:

C = 2πr

C = 2(3.14)(14)

C = 87.92

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