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eimsori [14]
1 year ago
15

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k. g(x) f(x)

Mathematics
1 answer:
vlada-n [284]1 year ago
5 0

Answer:

k = 4

Step-by-step explanation:

First, find the equations of each function.

f(x) = x/3 - 3

g(x) = x/3 + 1

Then plug these values for g(x) = f(x) + k.

x/3 + 1 = x/3 - 3 + k          subtract x/3 on both sides

1 = -3 + k                          add -3 on both sides

k = 4                                we're done!

and this makes sense because g(x) is just a translation of f(x) 4 units up.

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Determine the equation of the inverse of y=1/4x^3-2
dedylja [7]

<u>Answer</u>


y⁻¹ = ∛(4x+8)



<u>Explanation</u>

y=(1/4)x³ - 2.

To find the inverse of this equation, you first make x the subject of the formular.

y=(1/4)x³ - 2

Multiply both sides by 4;

4y = x³ - 8

Add 8 on both sides of the equation;

4y + 8 = x³

x³ = 4y + 8

Apply the cube root on both sides to get the value of x;

x = ∛(4y+8)


The inverse of y=(1/4)x³ - 2 is;

y⁻¹ = ∛(4x+8)


7 0
3 years ago
Wayne is hanging a string of lights 58 feet long around the three sides of his patio, which is adjacent to his house. The length
podryga [215]

Answer:

The length of the patio is 32 ft and the width is 13 ft

Step-by-step explanation:

see the attached figure to better understand the problem

Let

L ----> the length of his patio

W ---> the width of his patio

we know that

L+2W=58 ----> equation A

L=2W+6 ----> equation B

substitute equation B in equation A and solve for W

2W+6+2W=58

4W+6=58

4W=58-6

4W=52

W=13\ ft

Find the value of L

L=2W+6  ----> L=2(13)+6=32\ ft

therefore

The length of the patio is 32 ft and the width is 13 ft

3 0
3 years ago
kaitlin is on a long car trip every time she stops she loses 15 minutes of travel time is she stops 5 times how late will she be
yanalaym [24]
5(15)= 75 minutes or an hour and 15 minutes lost
8 0
3 years ago
Read 2 more answers
When converting a fraction to a decimal, the numerator is the.....what?
Aleonysh [2.5K]

Answer:

Dividend

Step-by-step explanation:

3 0
3 years ago
The rectangles garden is 25ft by 15ft what is the area of the garden ?
steposvetlana [31]
I hope this helps you




Area=25x15



Area=375
8 0
3 years ago
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