Find the average rate of change for f(x) = x2 + 9x + 18 from x = −10 to x = 10.

1 answer:

7 0

The average rate of change formula is
f(b) - f(a)
arc = ----------------
b-a

Here, a= -10 and b = 10

(10)^2 + 9(10) + 18 - [ (-10)^2 + 9(-10) + 18]
Here arc = --------------------------------------------------------------
10 - (-10)

10^2 and -(-10)^2 cancel. 18 - 18 cancel.

90 - (-90) 180
This leaves us with arc = ----------------- = ------------- = 9 (answer)
20 20

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Given f(x) = 3x + 4 and g(x) = 8x + 1<br> then what is ( f + g )(0))?<br><br> *****HELP*^^^^^^

pochemuha

• f(x) = 3x + 4

• g(x) = 8x + 1

Sum both functions above:

(f + g)(x) = f(x) + g(x)

(f + g)(x) = (3x + 4) + (8x + 1)

(f + g)(x) = 3x + 8x + 4 + 1

(f + g)(x) = 11x + 5

Therefore,

(f + g)(0) = 11 · 0 + 5

(f + g)(0) = 0 + 5

(f + g)(0) = 5 <——— this is the answer.

I hope this helps! =)

3 0

2 years ago

In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standa

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Answer:

Longer than 27.7 minutes.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 25, \sigma = 4$