Slope: (y2-y1)/(x2-x1)
(0,7) and (-4,7)
(7-7)/(-4-0) = 0/ -4
The slope is 0
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
Pet store is a better price because it cost $14.54 while pet store 1 is $14.88. Pet store 2 is cheaper by 34 cents.
3(2-y) + y = 4.50
6 - 3y + y = 4.50
- 2y = -1.5
y = 0.75
3x + y = 4.50
3x + 0.75 = 4.50
3x = 3.75
x = 1.25
answer
x = 1.25 and y = 0.75
cost of one lemonade = 75 cents
