Answer:
171
Step-by-step explanation:
9514 1404 393
Answer:
-2
Step-by-step explanation:
-8^(1/3) = -(2^3)^(1/3) = -(2^(3/3)) = -2
The best prediction for the number of customers is 5450.
To find this value, you just need to plug in 20 for x into the expression. Then, evaluate it using the order of operations.
8(20)^2 + 100(20) + 250
8(400) + 100(20) + 250
3200 + 2000 + 250
5450
![\huge\boxed{18\ \text{points}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B18%5C%20%5Ctext%7Bpoints%7D%7D)
We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with
,
,
, and
respectively since each one is 1 point more than the last.
Add all of these values up and set it all equal to
.
![x+x+1+x+2+x+3=78](https://tex.z-dn.net/?f=x%2Bx%2B1%2Bx%2B2%2Bx%2B3%3D78)
Now, simplify.
![4x+6=78](https://tex.z-dn.net/?f=4x%2B6%3D78)
Subtract
on both sides.
![\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D4x%2B6-6%26%3D78-6%5C%5C4x%26%3D72%5Cend%7Baligned%7D)
Divide both sides by
.
![\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cfrac%7B4x%7D%7B4%7D%26%3D%5Cfrac%7B72%7D%7B4%7D%5C%5Cx%26%3D%5Cboxed%7B18%7D%5Cend%7Baligned%7D)
Since Louise's score is
, the answer is
.
<h3>Double-checking</h3>
To verify our answer, add the point totals
,
,
, and
.
This equals
, so we can be sure the answer is correct.
Answer:
![\huge\boxed{3x-3}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B3x-3%7D)
Step-by-step explanation:
![3(x-1)=\\\\\text{Distribute: }\left \{ {{3*x=3x} \atop {3*-1=-3}} \right.\\\\3(x-1)=\boxed{3x-3}](https://tex.z-dn.net/?f=3%28x-1%29%3D%5C%5C%5C%5C%5Ctext%7BDistribute%3A%20%7D%5Cleft%20%5C%7B%20%7B%7B3%2Ax%3D3x%7D%20%5Catop%20%7B3%2A-1%3D-3%7D%7D%20%5Cright.%5C%5C%5C%5C3%28x-1%29%3D%5Cboxed%7B3x-3%7D)