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2 years ago

Given the function g(x) = x^2 + 5x + 14, determine the average rate of change

Mathematics

1 answer:

Bezzdna [24]2 years ago

5 0

Answer:

Step-by-step explanation:

The average rate of change is

f(7) - f(1)

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

7-1

f(7) = 7^2 + 5*7 +14 = 49 +35 +14=98

f(1) = 1^2 +5(1)+14 = 1+5+14=20

98-20

--------

7-1

78/6

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I think the parent function is

y=x

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2 years ago

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2 years ago

Please help #12 10 points

eimsori [14]

1. add 40 to the 40 and 25
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$\frac{5x {}^{2} }{5} = \frac{65}{5}$
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3 years ago

emily read 24 fiction books and 2 nonfiction books. what is the ratio of the number of fiction books she read to the total numbe

Elis [28]

Answer:

24:26 or 12:13

Step-by-step explanation:

Ratios can be better understood if you read 24:26 as: Emily read 24 fiction books for every 26 books.

The question tells us Emily read 24 fiction books and 2 nonfiction books. We know she read 24 fiction books so that is the first part of our ratio. Now, they want to know how many total books did she read. Well, she read 24 fiction and 2 nonfiction. 24+2 = 26. 26 books total! So now we have the second part of our ratio and end up with the ratio of 24:26. But now, we have to simplify it. Simplifying ratios is like simplyfing fractions. You have to find their greatest common factor. The greatest common factor of 24 and 26 is 2. Now you divide both number by their greatest common factor (2). Finally, we end up with the ratio of 12:13.

Greatest common factor help: https://www.mathsisfun.com/greatest-common-factor.html

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2 years ago

X subtract 9 equals 3 / 5X

Korvikt [17]

Answer:

$x=22\frac{1}{2}=22.5$

Step-by-step explanation:

$x-9=\frac{3}{5}x$

First, lets get rid of the fraction. I did this by multiplying both sides by $5$ .

$5(x-9)=5(\frac{3}{5}x)\\5x-45=\frac{5}{1} *\frac{3}{5}x\\5x-45=\frac{15}{5}x\\5x-45=3x$

We want to isolate $x$ on one side of this equation. Let's put any values with $x$ on one side of the equation, and normal integers on the other.

$2x=45$

Divide both sides by $2$ .

$x=\frac{45}{2}$

If your teacher wants you to leave your final answer as an improper fraction, your final answer is this. If they want it to be a mixed number or decimal, your final answer will be:

$x=22\frac{1}{2}=22.5$

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3 years ago