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3 years ago

What do both of these functions have in common? f(x)=5e^x+5 g(x)=0.5(x-5)^2-5

Mathematics

2 answers:

olga nikolaevna [1]2 years ago

8 0

Answer:

Both have a vertical shift of 5 units but in different directions.

Both functions are non-linear.

Step-by-step explanation:

Given : Functions $f(x)=5e^x+5$ and $g(x)=0.5(x-5)^2-5$

To find : What do both of these functions have in common?

Solution :

Functions $f(x)=5e^x+5$ and $g(x)=0.5(x-5)^2-5$ both are different functions .

The common in these functions is

Both have a vertical shift of 5 units but in different directions.

Vertical shift is $f(x)\rightarrow f(x)\pm b$

If there is +b then vertically upward

If there is -b then vertically downward.

and both functions are non-linear.

kondor19780726 [428]3 years ago

3 0

Answer:

They have the same vertical shift. -Apex

Step-by-step explanation:

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Arisa [49]

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

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Answer:

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Step-by-step explanation:

Solving for X in the perimeter equation :

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Open the bracket

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Answer:

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