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
Y+7= -(2/3)x+6)
First distribute the -1.
y+7= -(2/3)x-6
Then subtract 7 from both sides to isolate y.
y= -(2/3)x-13
Final answer: f(x)= -(2/3)x-13
Answer:
Fox is faster by 7 MPH
Step-by-step explanation:
1. determine how fast each animal runs per hour
rabbit = 35 MPH
fox = 21 per half hour (multiply by 2 for hour) 21*2=42 MPH
2. Subtract rabbits speed (35) from foxs speed (42)
42-35= 7 mph
Answer:
We know that, a³ - b³ = (a - b)(a² + ab + b²)
Now,
- x³ - 27
- (x)³ - (3)³
- (x - 3)(x² + 3x + 9)
Therefore,
- <u>(x² + 3x + 9)</u> is the other factor.