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valentinak56 [21]
3 years ago
13

If f(x)=2x+3 and g(x)=x^2+1 find f(g(3)) Help!! A.23 B.47 C.82 D.90

Mathematics
1 answer:
True [87]3 years ago
8 0

Answer

A. 23

step-by-step explanation

g(x) =  {x}^{2} + 1

We put x=3 into the function g

\implies g(3)= {3}^{2} + 1

\implies \: g(3)=10

Also,

f(x)=2x +3

we substitute the value of g(3) into f

\implies f(g(3))=f(10)

\implies f(g(3))=f(10) = 2(10) + 3

\implies f(g(3))=23

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Find the area 9cm 8cm 13cm 9cm 11cm
Viktor [21]

Answer:

460

Step-by-step explanation: multiply all numbers to get your answer

6 0
3 years ago
The College Student Journal (December 1992) investigated differences in traditional and nontraditional students, where nontradit
shutvik [7]

Answer:

There is a 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.

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}

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

For this problem, we have that:

Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is \mu = 3.5 and \sigma = 0.5.

We have a sample of 100 students, so we need to find the standard deviation of the sample, to use in the place of \sigma in the z score formula.

s = \frac{\sigma}{\sqrt{100}} = \frac{0.5}{10} = 0.05.

What is the probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65?

This is 1 subtracted by the pvalue of Z when X = 3.65. So

Z = \frac{X - \mu}{s}

Z = \frac{3.65 - 3.50}{0.05}

Z = 3

A zscore of 3 has a pvalue of 0.9987.

So, there is a 1-0.9987 = 0.0013 = 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.

4 0
3 years ago
Mary bought a pair of jeans on sale for 25% off. The original price for jeans was $79. What was the sale price before tax? Expla
TEA [102]
<h3>Answer:  $59.25</h3>

========================================================

Explanation:

There are two approaches

Method 1

25% of 79 = 0.25*79 = 19.75

Mary saves $19.75 and the price before tax is 79 - 19.75 = 59.25

-----------------------------

Method 2

She saves 25% so she must pay the remaining 75%

75% of 79 = 0.75*79 = 59.25

This is a slight shortcut, and it's very useful when it comes to chaining multiple discounts together.

5 0
2 years ago
Must a function that is decreasing over a given interval always be negative over that same interval? Explain.
kolbaska11 [484]

Answer:

its called common sense

Step-by-step explanation:divide negative by the positive leaving you with the commomn answer thus its subtraction

5 0
2 years ago
A girl that is 4 feet tall casts a shadow that is 2 feet long. Find the height of a boy that casts a 3-foot shadow.
PIT_PIT [208]

Answer:

B. 6 feet

Step-by-step explanation:

4 ÷ 2 = 2

6 ÷ 2 = 3

8 0
2 years ago
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