The income that's made based on the equation when 1 comb is sold is $0.5.
<h3>How to calculate the price?</h3>
From the information given, the equation is given as y = x/2. In this case, it was illustrated that the income is depicted based on the combs sold.
Therefore, the income by selling 1 comb will be:
y = 1/2
y = $0.5
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Answer:
C
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y =
( cube both sides )
y³ = x + 12 ( subtract 12 from both sides )
y³ - 12 = x
change y back into terms of x with x =
(x) , then
(x) = x³ - 12
-4 and -4
-4 + (-4) = -8
-4•-4 = 16
Answer:
Step-by-step explanation:
![\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%20-%202%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B3y%2B2%7D%7B2%7D)
Multiply the equation by 4
![4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\](https://tex.z-dn.net/?f=4%2A%5Cfrac%7B5x%20-%202%7D%7B4%7D%2B4%2A%5Cfrac%7B1%7D%7B2%7D%3D4%2A%5Cfrac%7B3y%2B2%7D%7B2%7D%5C%5C)
5x - 2 + 2 = 2*(3y + 2)
5x +0 = 2*3y + 2*2
5x = 6y + 4
5x - 6y = 4 --------------------(I)
![\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\](https://tex.z-dn.net/?f=%5Cfrac%7B7y%2B3%7D%7B3%7D%3D%5Cfrac%7Bx%7D%7B2%7D%2B%5Cfrac%7B7%7D%7B3%7D%5C%5C)
Multiply the equation by 6
![6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\](https://tex.z-dn.net/?f=6%2A%5Cfrac%7B7y%2B3%7D%7B3%7D%3D6%2A%5Cfrac%7Bx%7D%7B2%7D%2B6%2A%5Cfrac%7B7%7D%7B3%7D%5C%5C)
2*(7y + 3) = 3x + 2*7
14y + 6 = 3x + 14
14y = 3x + 14 - 6
14y = 3x + 8
-3x + 14y = 8 ------------------------(II)
Multiply equation (I) by 3 and equation (II) by 5 and then add
(I)*3 15x - 18y = 12
(II)*5 <u>-15x + 70y = 40</u> {Now add}
52y = 52
y = 52/52
y = 1
Substitute y =1 in equation (I)
5x - 6*1 = 4
5x - 6 = 4
5x = 4 +6
5x = 10
x = 10/5
x = 2