Answer:
19.8
Step-by-step explanation:
3x6.6
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:
2 and 3
Step-by-step explanation:
the x-intercept is 2
the y-intercept is 3
Answer:
C. $1,103.88
Step-by-step explanation:
The total cost is:
1785.42 × 1.06635 = 1903.88
There was no physical damage to the pool, only an accidental injury. So Opal pays the $800 deductible, and the insurance pays the rest, which is:
1903.88 − 800 = 1103.88
Answer:
<em>Type 7.5 in the box!</em>
Step-by-step explanation:
Consider the trapezoid formula ( ( base 1 + base 2 ) / 2 ) * height;
<em>Area = 7.5 square units</em>
