Answer:
The vertex of the function is (1.333, 4.667)
Step-by-step explanation:
1. Calculate -b / 2a. This is the x-coordinate of the vertex.
2. simply plug -b / 2a into the equation for x and solve for y.

Calculate -b/2a:


This is equal to 1.33 recurring
Plug 8/6 for x and solve for y:



This is equal to 4.66 reccuring.
X = 4/3 because set y=0.
so 0=3x-4. add 4 to both sides so
4=3x. divide both sides by. 3 and you get x=4/3.
Answer:
<u>The correct answer is D. 53x - 12</u>
Step-by-step explanation:
Let's find P(x), this way:
Profits = Revenue - Cost
Profit function = Revenue function - Cost function
P (x) = R (x) - C (x)
Replacing with the real values we have:
P (x) = 60x - (12 + 7x)
P (x) = 60x - 12 - 7x
P (x) = 53x - 12
<u>The correct answer is D. 53x - 12</u>
I'm thinking this is what the problem looks like:

. The first thing to do is to move the

over to the other side because it has a common denominator with the other side. Doing that and at the same time combining them over their common denominator looks like this:

. The best way to solve for x now is to cross-multiply to get 3(4-x)=-4(x-4). Distributing through the parenthesis is 12 - 3x = -4x + 16. Solving for x gives us x = 4. Of course when we sub a 4 back in for x we get real problems, don't we? Dividing by zero breaks every rule in math that there ever was! So, yes, the solution is extraneous.