your answer would be A. I would hope this is right
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:
- 3(2 +7)
- 9(3 +5)
- 16(2 +3)
- 15(2 +5)
- 8(11 +3)
Step-by-step explanation:
- 6 + 21 = 2·3 + 3·7 = 3(2 +7)
- 27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
- 32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
- 30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
- 88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)
In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.
70 flowers were planted in all.
Step-by-step explanation:
Let,
Tulips = t
Daises = d
Lilies = l
Total tulips planted = 42
She planted 2 times as many tulips as daises.
t=2d
Putting t=42
Dividing both sides by 2
And 3 times as many daisies as lilies.
d=3l
Putting d=21
Dividing both sides by 3
Total flowers planted = Tulips + Daisies + Lilies
Total flowers planted = 42 + 21 + 7 = 70
70 flowers were planted in all.
Keywords: division, addition
Learn more about addition at:
#LearnwithBrainly
Answer:
ED = 32.5
BE = 14.4
Step-by-step explanation:
Ab = 20
AC = AB + 5 = 20 + 5 = 25
AC / AB = 1.25
AB * 1.25 = AC
This means that:
AE * 1.25 = ED
CD / 1.25 = BE
AE * 1.25 = ED
26 * 1.25 = 32.5
CD / 1.25 = BE
18 / 1.25 = 14.4
