Answer:
n = {-1, 7}
Step-by-step explanation:
8n² - 56 = 48n
Subtract 48n from both sides
8n² - 48n - 56 = 0
Divide both sides by 8
n² - 6n - 7 = 0
Factor
alternately use the quadratic equation or complete the square
(n - 7)(n + 1) = 0
n = {-1, 7}
Answer:
Second option
Step-by-step explanation:
x^(3)-4x^(2)-13x-6= (x+1) (3x + 2) (x-3)
Answer:
10π inches
Step-by-step explanation:
C = 2πr
C = 2π(5)
C = 10π ≈ 31.42
17,157 is the answer to your question...I can't really put down work with texting
Answer:You would have to use over 200 minutes in a month in order for the second plan to be preferable.
Step-by-step explanation:
Let x represent the number of minutes that you use in a month.
The first plan charges a rate of 25 cents per minute. It means that the cost of using x minutes in a month with this plan is 0.25x.
The second plan charges a monthly fee of $29.95 in addition to 10 cents per minute. It means that the cost of using x minutes in a month with this plan is
29.95 + 0.1x
For the second plan to be preferable, its cost would be lesser than the first plan. Therefore,
29.95 + 0.1x < 0.25x
29.95 < 0.25x - 0.1x
29.95 < 0.15x
0.15x > 29.95
x > 29.95/0.15
x > 200