Identify each function that contains a zero of -4.

Mathematics

1 answer:

german3 years ago

5 0

Answer:

x^2+4x

Step-by-step explanation:

put -4 then you will get it

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G(t)=−(t−1)^2+5

garri49 [273]

Answer:

In the interval of - 2 ≤ t ≤ 4, the average rate of change is zero.

Step-by-step explanation:

The function is given to be $g(t) = - (t - 1)^{2} + 5$ ............ (1)

(i) Now, for 1 ≤ t ≤ 4, we will put t = 1 and t = 4.

So, g(1) = 5, g(4) = - 4. {From equation (1)}

Hence, g(1) ≠ g(4)

(ii) Now, for - 4 ≤ t ≤ - 3, we will put t = - 4 and t = - 3.

So, g(- 4) = - 20, g(- 3) = - 11. {From equation (1)}

Hence, g(- 4) ≠ g(- 3)

(iii) Now, for -2 ≤ t ≤ 0, we will put t = - 2 and t = 0.

So, g(- 2) = - 4, g(0) = 4. {From equation (1)}

Hence, g(- 2) ≠ g(0)

(iv) Now, for - 2 ≤ t ≤ 4, we will put t = - 2 and t = 4.

So, g(- 2) = - 4, g(4) = - 4. {From equation (1)}

Hence, g(- 2) = g(4)

Therefore, in the interval of - 2 ≤ t ≤ 4, the average rate of change is zero. (Answer)

5 0

4 years ago

Suppose GRE Verbal scores are normally distributed with a mean of 461 and a standard deviation of 118. A university plans to rec

nirvana33 [79]

Answer:

The minimum score required for recruitment is 668.

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 Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 461 \sigma = 118$