What is h(x) = 7 + 10x + x2 written in vertex form?

Mathematics

1 answer:

Damm [24]3 years ago

3 0

Answer:

h(x) = (x + 5)² − 18

Step-by-step explanation:

h(x) = 7 + 10x + x²

h(x) = x² + 10x + 7

Complete the square. (10/2)² = 25, so:

h(x) = x² + 10x + 25 − 18

h(x) = (x + 5)² − 18

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240 is 60% of what number?

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A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.24 lb, the mean of all of the weight

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a) 3.308 lb

b) That difference is 2.91 standard deviations.

c) $Z = 2.91$

d) We have that $Z = 2.91 > 2$ , so the weight of 5.24lb is significantly high.

Step-by-step explanation:

The z-score formula is given by:

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

In which: X is the weight we are going to find the z-score of, $\mu$ is the mean of all the weights and $\sigma$ is the standard deviation of all the weights.