Answer:
Step-by-step explanation:
Graph f(x) = |x| first. This graph looks like a "V" and has its vertex at (0, 0). It opens up.
Now translate the entire graph 1 unit to the left. You will now have the graph of g(x) = |x + 1|.
Now stretch this graph g(x) vertically by a factor of 8.
Finally, translate the entire resulting graph DOWN by 1 unit.
You can use the slope formula to get this, y=3/4x+1/4
Answer:
About 67%.
Step-by-step explanation:
Answer:
{sqrt(2) 2 sqrt(a), 8 b + 3, 3 - 27 c, 18 sqrt(2) a b c + 3}
Step-by-step explanation:
We have been given an expression
. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.
Let us simplify our given expression.
Using exponent property,
, we cab rewrite our given expression as:
![\left( 4^{-2+(-3)} \right)^{3}](https://tex.z-dn.net/?f=%5Cleft%28%204%5E%7B-2%2B%28-3%29%7D%20%5Cright%29%5E%7B3%7D)
![\left( 4^{-5} \right)^{3}](https://tex.z-dn.net/?f=%5Cleft%28%204%5E%7B-5%7D%20%5Cright%29%5E%7B3%7D)
Now we will use exponent property
to further simplify our expression.
![\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}](https://tex.z-dn.net/?f=%5Cleft%28%204%5E%7B-5%7D%20%5Cright%29%5E%7B3%7D%3D%204%5E%7B-5%5Ccdot%203%7D)
![\left( 4^{-5} \right)^{3}= 4^{-15}](https://tex.z-dn.net/?f=%5Cleft%28%204%5E%7B-5%7D%20%5Cright%29%5E%7B3%7D%3D%204%5E%7B-15%7D)
Therefore, Chris made mistake in step 2.