Answer:
athlete trains 115 minutes in 6 days to get a total of 690 minutes in all.
Step-by-step explanation:
115m = An athlete trains per day
690m = total minutes of athlete’s training
d = number of days
=> 115(d) = 690
=> 690 / 115 = 6
=> 115 (6) = 690
d = 6
Answer:
x = 1
Step-by-step explanation:
2(76x - 1) = 150
76x - 1 = 75
76x = 76
x = 1
The equation of a parabola that opens up and has the following x intercepts (-3,0) and (4,0) is ![y=x^{2}-x-12](https://tex.z-dn.net/?f=y%3Dx%5E%7B2%7D-x-12)
<h3><u>Solution:</u></h3>
We have to find the equation of a parabola that opens up and has the following x intercepts (-3, 0) and (4, 0)
x-intercepts of the parabola are (−3, 0) and (4, 0)
So, we can form an equation:
Also x = 4
x – 4 = 0
x – 4 = 0 is another factor of quadratic equation.
The quadratic function is:
![\begin{array}{l}{y=(x+3)(x-4)} \\\\ {y=x^{2}-4 x+3 x-12} \\\\ {y=x^{2}-x-12}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7By%3D%28x%2B3%29%28x-4%29%7D%20%5C%5C%5C%5C%20%7By%3Dx%5E%7B2%7D-4%20x%2B3%20x-12%7D%20%5C%5C%5C%5C%20%7By%3Dx%5E%7B2%7D-x-12%7D%5Cend%7Barray%7D)
Hence, the equation of the parabola is ![y=x^{2}-x-12](https://tex.z-dn.net/?f=y%3Dx%5E%7B2%7D-x-12)
Answer:
company A since for 20 miles drive the rental is minus 20$ and in company B its more than 20. Evidently the same thing happens with 60 miles drive when in company A you have to pay 30$ and in company B 37$ Which is more expensive.