F(x) : |x|

1 answer:

4 0

-2•f(x+1)+6 = -2 |x+1| +6, which is NOT g(x).

-2•f(x+1)+3 = -2 |x+1| +3, which IS g(x).

Side note: you’re writing g(x) in terms of f(x), because f(x) is in the answer.

If you want to write f(x) in terms of g(x), then g(x) would be in the answer.

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If a circle garden has a diameter of 60 feet and there’s a sidewalk 18 feet from the center, how long is the sidewalk?

Paul [167]

Answer:

Step-by-step explanation:

Conditions

A diameter must be chosen such that it meete the sidewalk perpendicular to itself.
The diameter meets the sidewalk at the sidewalk's midpoint.
The diameter meets the sidewalk such that the diameter is cut into two segments 30+18 and 12
The sidewalk is cut in 1/2 where the diameter meets the sidewalk as the diagram shows.
If all these conditions are met, the relationship between the four lines is

Equation

48/12 = x^2

Solution

4 = x^2

sqrt(x^2) = sqrt(4)

x = 2

The length of the sidewalk is 4. Why is it doubled.

Because there are 2 xs of equal length

8 0

3 years ago

Round to the nearest ten and hundred 829

Musya8 [376]

To the nearest ten, 829 would become 830 because the ones digit (9) is closer to 30 than it is to 20. So we would round up.

To round to the nearest hundred, we look at the tens and ones digit. 29 is less than 50 so we would have to round down to 800 instead of rounding up to 900.

Hope that helps :)

4 0

4 years ago

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Natalie saved $20 when she purchased a new phone.The phone originally cost $125.What percent savings did Natalie receive on the

maw [93]

x 20
------ = -------
100 125

(The percentage x saved is equal to 20 out of 120) Cross multiply:
125x = 20(100)
125x = 2000
Divide both sides by 125
x = 16%

3 0

3 years ago

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Solve 15/k when k=3 please

Shtirlitz [24]

Answer:

15 divided by 3 is 5

Step-by-step explanation:

Hope this helps

6 0

2 years ago

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