Answer:
Step-by-step explanation:
So we have the expression:
To simplify, simply combine the like terms. Therefore:
Further notes:
To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:
Now, factor out a y from the three terms:
Do all the operations inside the parenthesis:
And we moved the y back to the front!
This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!
The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:
Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:
Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68=
8.5 inches is the height of the prism.
Answer: 1957
Step-by-step explanation:
They are expected to win back on average 50 cents back, which is a bad investment.
Answer:
no
Step-by-step explanation:
using the Factor theorem.
If (x + h) is a factor of f(x) then f(- h) = 0
for factor (x + 3) then evaluate P(- 3)
P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72
since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)
