Answer:
A. (5,5)
Step-by-step explanation:
- Plug in (5,5) for the x and y values according to the ordered pair. In this case the equation should turn out like this :5 ≤ 5²- 4(5) + 2
- Simplify the equation : 5 ≤ 25 - 20 + 2
- 5 ≤ 7
- A is the answer because it satisfies the inequality as 5 is less than or equal to seven. Though, in this case it is just less than, but not equal to.
Answer:
156 minutes
Step-by-step explanation:
So we need to create an equation to represent how Frank's phone company bills him
- I will denote "y" as the total for his bill
- I will denote "x" as the number of minutes Frank uses
So the phone company charges an $8 monthly fee, so this value remains constant and will be our "y-intercept"
They then charge $0.06 for every minute he talks, this will be our "slope"
Combining everything into an equation, we have: y = 0.06x + 8
Now since we were given Franks phone bill total and want to figure out how many minutes he used, we just need to solve the equation for x and plug in our known y value
- y = 0.06x + 8 → y - 8 = 0.06x →
- Then plugging in our y value we get
Frank used up a total of 156 minutes
Let the time he spent bicycling at 11 mph be x and the time spent bicycling at 15 mph be y, then
x + y = 60 . . . (1)
7x + 11.75y = 600 . . . (2)
(2) x 7 => 7x + 7y = 420 . . . (3)
(2) - (3) => 4.75y = 180
y = 180 / 4.75 = 38
x = 60 - 38 = 22
Therefore, he should bicycle 22 minutes at 11 mph and 38 minutes at 15 mph.
Answer:
The initial temperature of the coffee was 90°C.
Step-by-step explanation:
The function representing the temperature of the coffee after <em>x</em> minutes is:

T is the temperature in degree Celsius.
The initial temperature of the coffee will be at <em>x</em> = 0.
Compute the value of T (x) at x = 0 as follows:



Thus, the initial temperature of the coffee was 90°C.