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nekit [7.7K]
2 years ago
7

Elias has read 18 pages of a book. He will continue to read at an average rate of 4 5 5 4 ​ page per minute. The total number of

pages (p) Elias reads after m minutes can be represented by the equation p = 4 5 m + 18 p= 5 4 ​ m+18. How many minutes will it take Elias to read a total of 39 pages?
Mathematics
1 answer:
vovangra [49]2 years ago
5 0

Answer:

26.25 minutes

Step-by-step explanation:

Given that :

Number of pages (p) read by Elias can be modeled by the function ;

p = 45m + 18

Where P = Number of pages ; m = number of minutes

Number of minutes it will take to read a total of 39 pages

p = 4/5m + 18

39 = 4/5m + 18

39 - 18 = 4/5m

21 = 4/5m

4m = 21 * 5

4m = 105

m = 105 / 4

m = 26.25

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If f(x)=2x+1f(x)=2x+1f, left parenthesis, x, right parenthesis, equals, 2, x, plus, 1 and g(x)=x^2+7g(x)=x
nadya68 [22]

The value of the composite function f(g(x)) is 2x^2 + 15

<h3>How to evaluate the composite function f(g(x))?</h3>

The functions are given as:

f(x) = 2x + 1

g(x) = x^2 + 7

We have the function f(x) to be

f(x) = 2x + 1

Substitute g(x) for x in the equation f(x) = 2x + 1

So, we have

f(g(x)) = 2g(x) + 1

Substitute g(x) = x^2 + 7  in the equation f(g(x)) = 2x + 1

f(g(x)) = 2(x^2 + 7) + 1

Open the brackets

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Evaluate the sum

f(g(x)) = 2x^2 + 15

Hence, the value of the composite function f(g(x)) is 2x^2 + 15

Read more about composite function at

brainly.com/question/10687170

#SPJ1

<u>Complete question</u>

if f(x) = 2x + 1 and g(x) = x^2 + 7

which of the following is equal to f(g(x))

8 0
1 year ago
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