4 years ago

First blank:

Mathematics

1 answer:

Tatiana [17]4 years ago

4 0

Hey there!

I believe the first blank is B. Horizontal Stretch and the second blank is A. Does

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

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Solve for 'p'

Darina [25.2K]

$\left(\dfrac{9a^{-4}}{25}\right)^p=\dfrac3{5a^2}$
$\left(\dfrac9{25a^4}\right)^p=\dfrac3{5a^2}$

One way to find $p$ is to notice that the part on the left hand side within the parentheses can be written as a square:

$\dfrac9{25a^4}=\dfrac{3^2}{5^2(a^2)^2}=\left(\dfrac3{5a^2}\right)^2$

So you could write

$\left(\left(\dfrac3{5a^2}\right)^2\right)^p=\left(\dfrac3{5a^2}\right)^{2p}=\dfrac3{5a^2}$

Since these two expressions are equal, and the bases are the same, you know the exponents must be equal, with the exponent on the right hand side being 1. So $2p=1$ , or $p=\dfrac12$ .

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3 years ago

Solve the system of equations y=2x+1 y=x^2+2x-8

Lemur [1.5K]

Answer:

(3,7) and (-3,-5)

Step-by-step explanation:

To solve the system of equations, graph both functions. The (x,y) point(s) where the functions intersect is the solution(s).

See attached picture.