30 points ! Please answer the question in the picture

Mathematics

1 answer:

vaieri [72.5K]1 year ago

8 0

Answer:

thatl be 5

Step-by-step explanation:

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The length of a rectangle is twice its width. The perimeter of the rectangle is 24 inches. Write a system of equations in 2 vari

Nadya [2.5K]

The width can be x.
so it means that the length is 2x
the equation would be
2(x+2x)=24 inches
2x+4x= 24
6x= 24
x=4 (this is the width, so the length will be 8 inches)
the area will be 4 times 8 = 32

8 0

3 years ago

Consider these functions:

IgorLugansk [536]

Answer:

The value of f(g(-2)) is 12.

Step-by-step explanation:

We'll start by solving g(-2):

$g(-2)\\= (-2)^2 + 2\\= 4 + 2\\= 6$

Now we can take that value and plug it into function f:

$f(6)\\= \frac{-1}{2}6^2 + 5 * 6\\= -36/2 + 30\\= -18 + 30\\= 12$

Alternatively, you can work out a new single function that in itself describes f(g())

$f(g(x)) = -\frac{1}{2}g(x)^2 + 5g(x)\\= -\frac{1}{2}(x^2 + 2)^2 + 5(x^2 + 2)\\= -\frac{1}{2}(x^4 + 4x^2 + 4) + 5x^2 + 10\\= -\frac{1}{2}x^4 - 2x^2 - 2 + 5x^2 + 10\\= -\frac{x^4}{2} + 3x^2 + 8$