The answer is A. You just solve each one and you would find that it would be the same as 3x=-12.
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:
the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake?
3 loaves of bread
4 loaves of bread
50 loaves of bread
51 loaves of bread
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given the following in the question:
Percentage of vote required for constitutional amendment = 60%
p = 60% = 0.6
Hypothesis:
More than sixty percent of the voters would support a new amendment about higher education.
We design the null and the alternate hypothesis
Interpretation:
The null hypothesis states that less than or equal to 60% of the voter support the new amendment and the alternative hypothesis states that gretaer than 60% supports the amendment about higher education.
Answer:
x=0
Step-by-step explanation:
4x+7=3x+7
4x-3x=7-7
x=0
