Answer:
Minimum unit cost = 5,858
Step-by-step explanation:
Given the function : C(x)=x^2−520x+73458
To find the minimum unit cost :
Take the derivative of C(x) with respect to x
dC/dx = 2x - 520
Set = 0
2x - 520
2x = 520
x = 260
To minimize unit cost, 260 engines must be produced
Hence, minimum unit cost will be :
C(x)=x^2−520x+73458
Put x = 260
C(260) = 260^2−520(260) + 73458
= 5,858
Answer:
2=x
Step-by-step explanation:
8(4-x)=7x+2
Distribute
32 - 8x = 7x+2
Add 8x to each side
32 - 8x+8x = 7x+8x+2
32 = 15x+2
Subtract 2 from each side
32-2 = 15x+2-2
30 = 15x
Divide each side by 15
30/15 = 15x/15
2 =x
22.5 miles
You would create a proportion based on the given information, then cross multiply and solve for the number of miles 1 gallon of gas can go.
For you to make an equation a quadratic equation, you need everything to be on one side, so you add one to both sides.
<span>2x^2 + 3x + 0=0 </span>
<span>a=2, b=3, c=0 </span>
<span>b^2-4ac (In the next step just plug in your variables) </span>
<span>3^2 - 4(2)(0) </span>
<span>9 - 8(0) </span>
<span>9 - 0 </span>
<span>Your answer=9</span>
