Answer:
A
Step-by-step explanation:
(2x^2 + 3x - 4) (x + 4)
FOIL.
2x^2 times x = 2x^3
3x times x is 3x^2
-4 times x = -4x
2x^2 times 4 = 8x^2
3x times 4 = 12 x
-4 times 4 = -16
Combine like terms to get 2x^3 + 11x^2 + 8x - 16.
Answer:
1296 ft^3.
Step-by-step explanation:
The ratio of the volumes = 1^3 : 6^3
= 1 : 216.
So volume of the larger figure = 6 * 216
= 1296 ft^3.
Answer:
470 <= W <= 530
Step-by-step explanation:
we know this because it can be 30 lower than 500 and 30 higher. w representing words gives us the answer above.
Answer:
blue
Step-by-step explanation:
let's firstly convert the mixed fractions to improper fractions, and then add them up.
![\bf \stackrel{mixed}{8\frac{1}{2}}\implies \cfrac{8\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{17}{2}}~\hfill \stackrel{mixed}{7\frac{2}{3}}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{17}{2}+\cfrac{23}{3}\implies \stackrel{\textit{using the LCD of 6}}{\cfrac{(3)17~~+~~(2)23}{6}}\implies \cfrac{51+46}{6}\implies \cfrac{97}{6}\implies 16\frac{1}{6}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B8%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B8%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B17%7D%7B2%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B7%5Cfrac%7B2%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B7%5Ccdot%203%2B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B23%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B17%7D%7B2%7D%2B%5Ccfrac%7B23%7D%7B3%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%206%7D%7D%7B%5Ccfrac%7B%283%2917~~%2B~~%282%2923%7D%7B6%7D%7D%5Cimplies%20%5Ccfrac%7B51%2B46%7D%7B6%7D%5Cimplies%20%5Ccfrac%7B97%7D%7B6%7D%5Cimplies%2016%5Cfrac%7B1%7D%7B6%7D)
