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castortr0y [4]
3 years ago
7

Answer please!!! (Compound Inequalities)

Mathematics
1 answer:
natima [27]3 years ago
8 0

Answer:

<em>(B). - 7 ≤ x < 12 </em>

Step-by-step explanation:

- 7x - 50 ≤ - 1 ⇔ - 7x ≤ 49 ⇒ <em>x ≥ - 7</em>  

and

- 6x + 70 > - 2 ⇔ - 6x > - 72 ⇒ <em>x < 12</em>

<em>- 7 ≤ x < 12</em>

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Which measure of center would you use to compare the populations represented by the box plots?
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Median and Interquartile range (IQR)

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Q/3 - -2 = 5<br> solve this problem
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3x = 27
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D

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A and b are monomials where a = 125 and b = 27p12. what is the factored form of a – b?
torisob [31]

The factored form of a - b is \left(5-3 p^{4}\right)\left(25+15 p^{4}+9 p^{8}\right).

<h3>What is monomial factorization ?</h3>

A monomial is an expression that is the product of constant and non-negative integer powers of x, like 3x^{2}..

A monomial is expressed as a product of two or more other monomials when it is factored.

Here,

a = 125

$b=27 p^{12}$

To find: a - b

a - b = 125 - 27 p^{12}$

a - b =  5^{3}-\left(3 p^{4}\right)^{3}$

We know that,

$x^{3}-y^{3}=(x-y)\left(x^{2}+x y+y^{2}\right)$

Finding the factored form of a - b using this method:

$a - b=\left(5-3 p^{4}\right)\left(5^{2}+5\left(3 p^{4}\right)+\left(3 p^{4}\right)^{2}\right)$

$a-b=\left(5-3 p^{4}\right)\left(25+15 p^{4}+9 p^{8}\right)$

So, factored form of a - b is $\left(5-3 p^{4}\right)\left(25+15 p^{4}+9 p^{8}\right)$.

Learn more about monomial factorization here:

brainly.com/question/26278710

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