Answer:
Step-by-step explanation:
<u>The equation to reflect the monthly plans:</u>
- Plan A f(x) = 0.16x + 12
- Plan B g(x) = 0.12x + 29
<u>We need to find the value of x when f(x) = g(x):</u>
- 0.16x + 12 = 0.12x + 29
- 0.16x - 0.12x = 29 - 12
- 0.04x = 17
- x = 17/0.04
- x = 425 minutes
<u>The cost is:</u>
Answer:
x = 0.5, one solution
Step-by-step explanation:
6+1 = -6x + 10
7 = -6x + 10
-3 = -6x
6x = 3
x = 3/6
x = 1/2
x = 0.5
Answer:
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
Step-by-step explanation:
f(x) = x⁴ + 10x³ − 20x² − 90x + 99
f(x) is a fourth order polynomial, so it has 4 roots. Use rational root theorem to find possible rational roots.
±99, ±11, ±9, ±3, ±1
By trial and error, the zeros are -11, -3, 1, and 3.
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
8 were defective.
Defective percent = 8/84 x 100 = 9.5238% were defective.
Percent not defective = 100% - 9.5238% = 90.4761%
Rounding to the nearest tenth 90.5% were not defective.
The question doesn’t say how to round the answer so you may need to round differently than I did.
The speed at which they are moving apart = 475 + 525 = 1000 mi/h
Time = distance / speed
= 6000 / 1000 = 6 hours
The answer is 6 hours.
