f(x) = 2^(4x)
g(x) = 2^x
(fg) = 2^4x * 2^x = 2^5x
NOTE: When multiplying two powers with same base exponents add.
(f/g)(x) = (2^4x)/(2^x) = 2^3x
NOTE: And when dividing they subtract.
Answer: a and c
//Hope it helps.
Answer:
![\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E5%2By%5E5%7D%7Bx%2By%7D%3Dx%5E4-x%5E3y%2Bx%5E2y%5E2-xy%5E3%2By%5E4)
Step-by-step explanation:
Given the expression
![\left(x^5+y^5\right)\div \left(x+y\right)](https://tex.z-dn.net/?f=%5Cleft%28x%5E5%2By%5E5%5Cright%29%5Cdiv%20%5Cleft%28x%2By%5Cright%29)
![\mathrm{Apply\:factoring\:rule:\:}x^n+y^n=\left(x+y\right)\left(x^{n-1}-x^{n-2}y+\:\dots \:-\:xy^{n-2}\:+\:y^{n-1}\right)\:\quad \quad \mathrm{n\:is\:odd}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Afactoring%5C%3Arule%3A%5C%3A%7Dx%5En%2By%5En%3D%5Cleft%28x%2By%5Cright%29%5Cleft%28x%5E%7Bn-1%7D-x%5E%7Bn-2%7Dy%2B%5C%3A%5Cdots%20%5C%3A-%5C%3Axy%5E%7Bn-2%7D%5C%3A%2B%5C%3Ay%5E%7Bn-1%7D%5Cright%29%5C%3A%5Cquad%20%5Cquad%20%5Cmathrm%7Bn%5C%3Ais%5C%3Aodd%7D)
![x^5+y^5=\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)](https://tex.z-dn.net/?f=x%5E5%2By%5E5%3D%5Cleft%28x%2By%5Cright%29%5Cleft%28x%5E4-x%5E3y%2Bx%5E2y%5E2-xy%5E3%2By%5E4%5Cright%29)
![=\frac{\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)}{x+y}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cleft%28x%2By%5Cright%29%5Cleft%28x%5E4-x%5E3y%2Bx%5E2y%5E2-xy%5E3%2By%5E4%5Cright%29%7D%7Bx%2By%7D)
Cancel the common factor: x+y
![=x^4-x^3y+x^2y^2-xy^3+y^4](https://tex.z-dn.net/?f=%3Dx%5E4-x%5E3y%2Bx%5E2y%5E2-xy%5E3%2By%5E4)
Thus,
![\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E5%2By%5E5%7D%7Bx%2By%7D%3Dx%5E4-x%5E3y%2Bx%5E2y%5E2-xy%5E3%2By%5E4)
Answer:
20%
Step-by-step explanation:
as we add 10 +25 = 35
so if we subract 40 from 35 it is 5 so mangoes are 5
5
_ × 100 =20%
25
Step-by-step explanation:
You should always use the least number of significant figures. The exception is exact numbers or constants.
For example, there are 60 minutes in an hour. Even though this number has one significant figure, it is an exact number. So 15 minutes converted to hours would be 0.25 hr.
Answer:
b. $342
Step-by-step explanation:
Base = Length * width
Base Area = 12 * 5
B = 180 square inches.
Perimeter of the prism will be :
P = 2 (length) + 2 (15)
P = 2 * 12 + 30
P = 54 inches
Height of the jewelry container will be :
X = Ph + 2B
X = 54 * 6 + 2 * 180
X = 684 square inches.
Total cost for paint of jewelry box is :
X * cost per inch
Total cost = 682 * $0.50
Total Cost = $342.