Answer: B
Step-by-step explanation:
Since , it follows that
Factor each out:
11: 1*11
39: 3*13
35: 5*7
8: 2*2*2
since you can see no common factor just multiply them all to get 120120
If you need the full answer take this this includes every thing
4(x−3)−5(x+1)=34(x-3)-5(x+1)=34(x−3)−5(x+1)=3
1 Expand
4x−12−5x−5=34x-12-5x-5=34x−12−5x−5=3
2 Simplify 4x−12−5x−54x-12-5x-54x−12−5x−5 to −x−17-x-17−x−17
−x−17=3-x-17=3−x−17=3
3 Add 171717 to both sides
−x=3+17-x=3+17−x=3+17
4 Simplify 3+173+173+17 to 202020
−x=20-x=20−x=20
5 Multiply both sides by −1-1−1
x=−20x=-20x=−20
Step-by-step explanation:
As you found in parts a and b, p = 840 − 2x, and R(x) = -2x² + 840x.
For part c, profit = revenue − cost.
P(x) = R(x) − C(x)
P(x) = -2x² + 840x − (2x² + 15x + 1500)
P(x) = -2x² + 840x − 2x² − 15x − 1500
P(x) = -4x² + 825x − 1500
The maximum profit is at the vertex of the parabola.
x = -b / (2a)
x = -825 / (2 × -4)
x = 103.125
Or, we can use calculus:
P'(x) = -8x + 825
0 = -8x + 825
x = 103.125
Rounding, the manufacturer should produce 103 refrigerators each week.