412/84 = 4 R 76 <- you will have a remainder
Answer:
2157
Step-by-step explanation:
The given function is
![f(x)=5x^5+10x^4+3x^3+8x^2-6x-3](https://tex.z-dn.net/?f=f%28x%29%3D5x%5E5%2B10x%5E4%2B3x%5E3%2B8x%5E2-6x-3)
We want to find f(c) when c=3.
This means the remainder when f(x) is divided by x-3
We perform the synthetic division:
5 10 3 8 -6 -3
<u>3| 15 75 234 726 2160</u>
5 25 78 242 720 2157
Therefore the remainder is 2157
You are right
Answer:
A
Step-by-step explanation:
To convert mixed number as improper fractions, use this rule:
![A\frac{B}C}=\frac{(A*C)+B}{C}](https://tex.z-dn.net/?f=A%5Cfrac%7BB%7DC%7D%3D%5Cfrac%7B%28A%2AC%29%2BB%7D%7BC%7D)
<u>For Juan:</u> (
)
![4\frac{1}{6}=\frac{(4*6)+1}{6}=\frac{25}{6}](https://tex.z-dn.net/?f=4%5Cfrac%7B1%7D%7B6%7D%3D%5Cfrac%7B%284%2A6%29%2B1%7D%7B6%7D%3D%5Cfrac%7B25%7D%7B6%7D)
<u>For Antonio:</u> (
)
![3\frac{2}{3}=\frac{(3*3)+2}{3}=\frac{11}{3}](https://tex.z-dn.net/?f=3%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B%283%2A3%29%2B2%7D%7B3%7D%3D%5Cfrac%7B11%7D%7B3%7D)
Answer choice A is correct.
Answer:
1380 in²
Step-by-step explanation:
The lateral surface is the sum of the areas of all the sides, or 'faces'.
The bases (the top and bottom) are <u>not </u>included.
This is a prism with triangles for bases (at each end). The sides are rectangles.
Add up the areas of the rectangles.
300 + 480 + 600 = 1380