Answer: the widget would be sold for $84.3
Step-by-step explanation:
The amount of profit, y made by the company, is related to the selling price of each widget, x, by the given equation which is expressed as
y = - x² + 77x - 615
At the point of breaking even, profit = 0. This means that
- x² + 77x - 615 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = - 1
b = 77
c = - 615
Therefore,
x = [- 77 ± √(77² - 4 × - 1 × - 615)]/2 × + 1
x = [- 77 ± √(8389)]/- 2
x = (- 77 + 91.59)/2 or x = (- 77 - 91.59)/- 2
x = - 7.295 or x = 84.3
Since the price cannot be negative, then x = $84.3
-10 ≥ 2x + 14
-24 ≥ 2x [subtract 14 from both sides]
2x ≤ -24 [read right to left]
x ≤ -12 [divide both sides by 2]
Check:
Let x = -13 (It is ≥ -12)
Is this true: -10 ≥ 2(-13) + 14 ?
-10 ≥ -26 + 14 ?
-10 ≥ -14 ?yes
Let x = -11 (it is not ≥ -12)
Is this false:: -10 ≥ 2(-11) + 14 ?
-10 ≥ -22 + 14 ?
-10 ≥ -8 ?yes
Hello ,
f(-2) = 24/3*(-2) - 2
f(-2) = 24/-6-2
f(-2) = 24/-8
f(-2) = -3 .
