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Yakvenalex [24]
2 years ago
7

You improve your time running a course by 5 seconds in week one, by 3 seconds in week two, and by 4 seconds in week three. What

is the mean weekly change in your running time?
Mathematics
1 answer:
wariber [46]2 years ago
3 0

Answer:

\displaystyle \bar x=4\ sec

Step-by-step explanation:

<u>Average Value </u>

The mean or average of a number n of measurements is defined as the sum of all values divided by n.

\displaystyle \bar x=\frac{\sum x_i}{n}

The running times in seconds are being improved by the following numbers:

5, 3, 4

This is the dataset where we have to find the mean value. Here n=3. Applying the formula:

\displaystyle \bar x=\frac{5+4+3}{3}

\displaystyle \bar x=\frac{12}{3}

\displaystyle \bar x=4\ sec

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m(s) = -0.025s2 + 2.45s - 30
This quadratic equation lokks like a upside down parabolla
So as it is a form of mileage gunction of speed, its maximum value should be K

The "a" in the vertex form "<span>y = a(x – h)2 + k</span>" of the quadratic is the same as the "a" in the common form of the quadratic equation, "<span>y = ax2 + bx + c</span><span>".
</span>

<span>To find the vertex, I look at the coefficients a<span>, </span>b<span>, and </span>c. The formula for the vertex gives me:<span>Y= -0.025s2 + 2.45s - 30
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