Answer:
<h2>14mph</h2>
Step-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
Answer:
If friction did not exist, it would be hard for us to slow down in running, or putting breaks on a car, and more!
If friction did not exist, your car will slide down the road even if you try your best to put the brakes on a car. Friction is a very important force to slow down things that are moving very fast
Step-by-step explanation:
Hoped this helped.
Answer:
Step-by-step explanation:
Vertex form: 
where:
is the vertex
is some constant
Given:
- vertex = (-4, -1)
- point on parabola = (-2, -3)
Substitute given values into the formula to find :
Therefore, the equation of the parabola is:
Answer:
8/45
Step-by-step explanation:
1x8 is 8 and 5x9 is 45
Answer:
Step-by-step explanation:
a = number of successful events
b = total number of events.
