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 answer will be 4 weeks. You know the constant is 1.5 lbs per week and you will multiply that by however many weeks it takes to reach 176
197-(1.5x) would be your equation and since he’s already lost 15 pounds you will include that by subtracting 15 from the equation as well 197-(1.5(4))=191
191-15=176
Answer:
10 hours
Step-by-step explanation:
We can actually solve this problem simply as if it were an equation instead of an inequality. We have:
15 + 8h ≤ 95
Subtract 15 from both sides:
8h ≤ 95 - 15
8h ≤ 80
Divide by 8 from both sides:
h ≤ 80/8
h ≤ 10
So, the number of hours cannot exceed 10, which means the maximum number of hours Susie can rent is 10 hours.
Answer:7(4r+6s-5)
Step-by-step explanation:
The GCF is 7
For the answer to the question above,
since the only variable used to determine earnings is the number of doors knocked, you can eliminate options 1 and 3 as they are based on the number of books sold, which is not a part of the equation.
<span>That leaves the only options being the increase of $20 or $50 for each door knocked. As the x value we multiply by 20, the correct answer is #2, her earnings will increase by $20 for each door knocked. </span>
<span>You can also check this by plugging in values: </span>
<span>Assume 10 doors are knocked: </span>
<span>E(10) = 20(10)-50 = 200-50 = 150 </span>
<span>Assume 11 doors (1 more door) is knocked: </span>
<span>E(11) = 20(11)-50 = 220-50 = 170 </span>
<span>The increase from 1 door is $20.</span>
