Write a quadratic function when given -2 and 2/3 as the zeros

Mathematics

1 answer:

butalik [34]4 years ago

3 0

You are basically just working this problem backwards; the way you would find the zeros of the function.

Therefore, to start, make each equal to zero and do the opposite (+ or -) to each side.

-2=x and 2/3=x

0=x+2 and 0=x-2/3

In a function like this, we are usually given an equation like (x+#)(x+#) then we would set these to zero. However, since we are working backwards we are trying to get it in that (x+#)(x+#) form.

(x+2)(x-2/3)

2+2/3 = 2 2/3 or 2.667

2 x 2/3 = 4/3 or 1.334

Your quadratic function is now x^2+2.67x+1.334

or x^2+2 2/3x+4/3.

Hope I helped!

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One year Thomas had the lowest ERA (earned-run average, mean number of runs yielded per nine inning pitched) of any male pitcher

valkas [14]

Answer:

Thomas had an ERA with a z-score of -2.82.

Karla had an ERA with a z-score of -2.81.

Thomas had the better year compared with his peers, since his ERA had the lower Zscore.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

The ERA is the Earned Runs Average per 9 innings. This mean that the lower the ERA is, the better it is. So, between Thomas and Karla, whoever has the lower Zscore had the better season.

Thomas

For the males, the mean ERA was 4.837 and the standard deviation was 0.541. This means that $\mu = 4.837, \sigma = 0.541$ .