ANSWER
C. 38.83 miles per hour.
EXPLANATION
It was given that, the fuel economy of a car, measured in miles per gallon, is modeled by the function
![f(s) = - 0.009 {s}^{2} + 0.699s + 12](https://tex.z-dn.net/?f=f%28s%29%20%3D%20-%200.009%20%7Bs%7D%5E%7B2%7D%20%2B%200.699s%20%2B%2012)
We rewrite the function in the vertex form by completing the square.
![f(s) = - 0.009( {s}^{2} - \frac{233}{3} s) + 12](https://tex.z-dn.net/?f=f%28s%29%20%3D%20-%200.009%28%20%7Bs%7D%5E%7B2%7D%20-%20%5Cfrac%7B233%7D%7B3%7D%20s%29%20%2B%2012)
![f(s) = - 0.009( {s}^{2} - \frac{233}{3} s + {( - \frac{233}{6}) }^{2} ) + 12 + - - 0.009 {( - \frac{233}{6}) }^{2}](https://tex.z-dn.net/?f=f%28s%29%20%3D%20-%200.009%28%20%7Bs%7D%5E%7B2%7D%20-%20%5Cfrac%7B233%7D%7B3%7D%20s%20%2B%20%7B%28%20-%20%5Cfrac%7B233%7D%7B6%7D%29%20%7D%5E%7B2%7D%20%29%20%2B%2012%20%2B%20-%20-%200.009%20%7B%28%20-%20%5Cfrac%7B233%7D%7B6%7D%29%20%7D%5E%7B2%7D)
![f(s) = - 0.009 {( s- \frac{233}{6}) }^{2} + 12 + 13.57225](https://tex.z-dn.net/?f=f%28s%29%20%3D%20-%200.009%20%7B%28%20s-%20%5Cfrac%7B233%7D%7B6%7D%29%20%7D%5E%7B2%7D%20%2B%2012%20%2B%2013.57225)
![f(s) = - 0.009 {( s- \frac{233}{6}) }^{2} + 25.57225](https://tex.z-dn.net/?f=f%28s%29%20%3D%20-%200.009%20%7B%28%20s-%20%5Cfrac%7B233%7D%7B6%7D%29%20%7D%5E%7B2%7D%20%2B%2025.57225)
Or
![f(s) = - 0.009 {( s- 38.83) }^{2} +25.57](https://tex.z-dn.net/?f=f%28s%29%20%3D%20-%200.009%20%7B%28%20s-%2038.83%29%20%7D%5E%7B2%7D%20%2B25.57)
The vertex of this function is
![V(38.83,25.57)](https://tex.z-dn.net/?f=V%2838.83%2C25.57%29)
Hence the maximum fuel economy is 25.57 gallons and this occurred at an average speed of 38.83.
The correct answer is C
Answer: 3:08
Step-by-step explanation:
They started riding at 2:47 and reached the soccer field 21 minutes later.
The time they go to the field is therefore:
= 2:47 + 21 minutes
= 3:08
<em>Adding time:</em>
<em>First find out the number of minutes needed to take 2:47 to 3:00:</em>
<em>= 60 minutes in an hour - 47</em>
<em>= 13 minutes </em>
<em>Then remove the 13 minutes from the 21 minutes of riding:</em>
<em>= 21 - 13</em>
<em>= 8 minutes </em>
<em>Add this 8 to 3:00:</em>
<em>= 3 + 8</em>
<em>= 3:08</em>
Answer:
I THINK IT IS C
Step-by-step explanation:
I REMEMBER DOING THIS, SORRY IF IM WRONG HAVE A NICE DAY!
The value of x in the right triangle is 21.4
<h3>How to solve for x?</h3>
To solve for x, we use the following sine function
Sin(angle) = Opposite/Hypotenuse
So, we have:
sin(31) = 11/x
Make x the subject
x = 11/sin(31)
Evaluate
x = 21.4
Hence, the value of x is 21.4
Read more about right triangles at:
brainly.com/question/2437195
#SPJ1
Answer:
48Oz
Step-by-step explanation:
1 Pound=16Oz. Therefore: 3*16=48 Oz