Answer:
Step-by-step explanation:
b.
d.
e.
![\frac{2x^2-10x+12}{x^2-4} *\frac{2+x}{3-x} \\=\frac{2[x^2-5x+6]}{x^2-2^2} *\frac{2+x}{-(-3+x)} \\=\frac{2[x^2-2x-3x+6]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2[x(x-2)-3(x-2)]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2(x-2)(x-3)}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2}{-1} \\=-2](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5E2-10x%2B12%7D%7Bx%5E2-4%7D%20%2A%5Cfrac%7B2%2Bx%7D%7B3-x%7D%20%5C%5C%3D%5Cfrac%7B2%5Bx%5E2-5x%2B6%5D%7D%7Bx%5E2-2%5E2%7D%20%2A%5Cfrac%7B2%2Bx%7D%7B-%28-3%2Bx%29%7D%20%5C%5C%3D%5Cfrac%7B2%5Bx%5E2-2x-3x%2B6%5D%7D%7B%28x%2B2%29%28x-2%29%7D%20%2A%5Cfrac%7Bx%2B2%7D%7B-%28x-3%29%7D%20%5C%5C%3D%5Cfrac%7B2%5Bx%28x-2%29-3%28x-2%29%5D%7D%7B%28x%2B2%29%28x-2%29%7D%20%2A%5Cfrac%7Bx%2B2%7D%7B-%28x-3%29%7D%20%5C%5C%3D%5Cfrac%7B2%28x-2%29%28x-3%29%7D%7B%28x%2B2%29%28x-2%29%7D%20%2A%5Cfrac%7Bx%2B2%7D%7B-%28x-3%29%7D%20%5C%5C%3D%5Cfrac%7B2%7D%7B-1%7D%20%5C%5C%3D-2)
k.
Answer:
The standard deviation is 2.6832815729997
Step-by-step explanation:
SD^2=(12-12)^2+...+(14-12)^2/10
SD^2=72/10
SD^2=7.2
SD=squeare root of 7.2
SD=2.6832815729997
A.) v = πr^2h
v = π (20^2) * 50
v = π (400*50)
v = 20,000π
B.) v = πr^2h
v = π (4^2) * 10
v = π (16*10)
v = 160π
C.) 20,000π ÷ 160π = 125π
So, it can fill 125 mugs.
The family would buy the three pairs of shoes for $26.31 because you have to divide $52.62 in half since they bought half the amount of pairs of shoes that are given in the sale.
Answer:
Step-by-step explanation:
Given the weekly revenue and cost function
R(d) = 12000
C (d) = 350d + 5000
A firm break even point occurs when the amount of revenue is equal to the cost.
If the company Bridal solution breaks even then C(d) = R(d)
350d + 5000 = 12000
350d = 12000 - 5000
350d = 7000
divide both sides by 350
350d/350 = 7000/350
d = 20
Hence the total number of wedding dressing to be sold by Bridal Solutions for them to break even is 20 dresses.
