Answer:
the average height is between 65 and 72 inches
Step-by-step explanation:
Answer:
The product ![\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bb-5%7D%7B2b%7D%5Ctimes%5Cfrac%7Bb%5E2%2B3b%7D%7Bb-5%7D%3D%5Cfrac%7Bb%2B3%7D%7B2%7D)
Step-by-step explanation:
Given expression
and ![\frac{b^2+3b}{b-5}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%5E2%2B3b%7D%7Bb-5%7D)
We have to find the product of ![\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}](https://tex.z-dn.net/?f=%5Cfrac%7Bb-5%7D%7B2b%7D%5Ctimes%5Cfrac%7Bb%5E2%2B3b%7D%7Bb-5%7D)
Consider the given expression ![\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}](https://tex.z-dn.net/?f=%5Cfrac%7Bb-5%7D%7B2b%7D%5Ctimes%5Cfrac%7Bb%5E2%2B3b%7D%7Bb-5%7D)
Multiply fractions, we have,
![\frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%5Ccdot%20%5Cfrac%7Bc%7D%7Bd%7D%3D%5Cfrac%7Ba%5C%3A%5Ccdot%20%5C%3Ac%7D%7Bb%5C%3A%5Ccdot%20%5C%3Ad%7D)
![=\frac{\left(b-5\right)\left(b^2+3b\right)}{2b\left(b-5\right)}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cleft%28b-5%5Cright%29%5Cleft%28b%5E2%2B3b%5Cright%29%7D%7B2b%5Cleft%28b-5%5Cright%29%7D)
Cancel common factor ( b - 5 )
we have, ![=\frac{b^2+3b}{2b}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bb%5E2%2B3b%7D%7B2b%7D)
Apply exponent rule,
![\:a^{b+c}=a^ba^c](https://tex.z-dn.net/?f=%5C%3Aa%5E%7Bb%2Bc%7D%3Da%5Eba%5Ec)
![b^2=bb](https://tex.z-dn.net/?f=b%5E2%3Dbb)
![=bb+3b=b(b+3)](https://tex.z-dn.net/?f=%3Dbb%2B3b%3Db%28b%2B3%29)
![=\frac{b\left(b+3\right)}{2b}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bb%5Cleft%28b%2B3%5Cright%29%7D%7B2b%7D)
Cancel common factor b , we have,
![=\frac{b+3}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bb%2B3%7D%7B2%7D)
Thus, the product ![\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bb-5%7D%7B2b%7D%5Ctimes%5Cfrac%7Bb%5E2%2B3b%7D%7Bb-5%7D%3D%5Cfrac%7Bb%2B3%7D%7B2%7D)
Answer:
4
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
ur welcome
The solution of the absolute inequality |y + 8| ≤ 2 is -10 ≤ y ≤ -6
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Given the equation:
|y + 8| ≤ 2
Hence:
y + 8 ≤ 2; and -(y + 8) ≤ 2
y ≤ -6 and y ≥ -10
The solution of the absolute inequality |y + 8| ≤ 2 is -10 ≤ y ≤ -6
Find out more on equation at: brainly.com/question/2972832
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