![(8a^{-3})^\frac{2}{3}=(8 \cdot \frac{1}{a^3})^\frac{2}{3}=(\frac{8}{a^3})^\frac{2}{3}=\sqrt[3]{(\frac{8}{a^3})^2}=\sqrt[3]{\frac{64}{a^6}}=\frac{\sqrt[3]{64}}{\sqrt[3]{a^6}}=\frac{4}{a^2}](https://tex.z-dn.net/?f=%288a%5E%7B-3%7D%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%288%20%5Ccdot%20%5Cfrac%7B1%7D%7Ba%5E3%7D%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%28%5Cfrac%7B8%7D%7Ba%5E3%7D%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%5Csqrt%5B3%5D%7B%28%5Cfrac%7B8%7D%7Ba%5E3%7D%29%5E2%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B64%7D%7Ba%5E6%7D%7D%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B64%7D%7D%7B%5Csqrt%5B3%5D%7Ba%5E6%7D%7D%3D%5Cfrac%7B4%7D%7Ba%5E2%7D)
It doesn't equal any of the answers A, B, C.
The answer is D.
Answer:
use a calulator it can help
Step-by-step explanation:
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Answer:
k(x) = -|x + 2| + 3
Step-by-step explanation:
Parent function of the absolute function given in the graph,
f(x) = |x|
1). Function 'g' is reflected across the x-axis, then the image will be,
h(x) = -f(x) = -|x|
2). Function 'h' the shifted 2 units left and 3 units upwards, image function will be,
k(x) = h(x + 2) + 3
k(x) = -|x + 2| + 3
Therefore, the transformed function is k(x) = -|x + 2| + 3.
Answer: -7, -6.5, -6.2, -4.5, 0
I hope this helps, stay safe, and have a great rest of your day. :)
Answer:
y = 1/3 x + 7
Step-by-step explanation:
Given; the line is passing through, (-6,5) and the slope is 1/3
We can get its equation;
We would take, a point (x,y) and the given point (-6,5)
Therefore; Since slope = Δy/Δx
Then;
(5-y)/ (-6-x) = 1/3
3(5-y) = -6 -x
15 - 3y = -6 - x
we get;
3y = 6 + x + 15
3y = x + 21
Therefore;
<u>y = 1/3 x + 7</u>
