Answer: 11 magazines
Step-by-step explanation:
1) 20/5 = $4 per magazine
2) 44/4 = 11 magazines
Answer:
9
Step-by-step explanation:
Find what both expressions have in common
P ( x ) = x³ - 4 x² + 3 x - 12 =
= x² ( x - 4 ) +3 ( x - 4 ) = ( x - 4 ) · ( x² + 3 )
x - 4 = 0, x = 4
x² + 3 = 0, x² = - 3 ( there is no real solution )
Answer: In 4 years the company will break even.
Answer:
g(x) = 4x² -x +64
Step-by-step explanation:
The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.
For some constant c1, the integral in the region x ≤ 4 is ...
∫f(x)dx = (4x² -x +c1) +C = g(x) +C
The integral in the region x ≥ 4 is given as ...
∫f(x)dx = 31x +C
Evaluated at x=4, we must get the same value from either expression:
4(4²) -4 +c1 +C = 31(4) +C
60 +c1 = 124
c1 = 64
__
In order to make the integral continuous at x=4, we must have ...
g(x) = 4x² -x +64
Answer:
x=2
Step-by-step explanation:
9x-8=10
Add 8 to each side
9x-8+8=10+8
9x = 18
Divide by 9
9x/9 = 18/9
x = 2
