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
The bottmo layer should be the same as the top layer sinc it is all squares
count the top
6 squares
answer is 6 squares
Hello :
answer : <span>C.(4,0)
because when x=4 y= 12-(3)(4) =0</span>
Area = πr²
Area = 3.14* 6²
A = 3.14 * 36
A = 113.04
Now find the area of the other one.
<span>Area = πr²
A = 3.14 * 0.75</span>²
A = 1.76625
Now subtract them.
113.04 - 1.76625 = 111.27375
Now, we have our answer: A = <span>111.27375
However, I don't see why they told you to have an exact answer for the area. You can't have an exact answer when you use 3.14 for pi.</span>
