Answer:
x = - 2
y = 2
Step-by-step explanation:
y = - 2 + 4
y = 2
- 2 + 2(2) = 2
- 2 + 4 = 2
Answer is 432 cans in total
18 packs times 24 cans in each is 432
Answer:
x intercept at (7/3 , 0)
y intercept at (0,-3)
Step-by-step explanation:
9x-7y=21
we need to find x and y intercepts
To find x intercept , plug in 0 for y
9x - 7(0) = 21
9x = 21
divide by 9 on both sides
x= 21/ 9 = 7/3
so x intercept at (7/3 , 0)
To find y intercept , plug in 0 for x
9(0) - 7(y) = 21
-7y = 21
divide by -7 on both sides
y= -3
so y intercept at (0,-3)
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
