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3 years ago

Simplify by using factoring: (2a+6b)(6b−2a)−(2a+6b)^2

Mathematics

1 answer:

GrogVix [38]3 years ago

8 0

Answer:

-8a(a+3b)

Step-by-step explanation:

(2a+6b)(6b−2a)−(2a+6b)^2

(2a+6b) {(6b−2a)−(2a+6b)(2a+6b)}

2(a+3b) (6b-2a-2a-6b)

2(a+3b) (-4a)

-2(a+3b) x 4a

-2 x 4a (a+3b)

-8a(a+3b)

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Butoxors [25]

Answer:

Step-by-step explanation:

Limit refers to the value that the function approaches as the input approaches some value.

We say $\displaystyle \lim_{x\rightarrow a}f(x)=L$ , if f(x) approaches L as x approaches 'a'.

(a)

$\displaystyle \lim_{x\rightarrow 5}\left ( \frac{f(x)-8}{x-5} \right )=4\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-\displaystyle \lim_{x\rightarrow 5}8}{\displaystyle \lim_{x\rightarrow 5}x-\displaystyle \lim_{x\rightarrow 5}5}=4\\$

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(b)

$\displaystyle \lim_{x\rightarrow 5}\left ( \frac{f(x)-8}{x-5} \right )=7\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-\displaystyle \lim_{x\rightarrow 5}8}{\displaystyle \lim_{x\rightarrow 5}x-\displaystyle \lim_{x\rightarrow 5}5}=7\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-8}{\displaystyle \lim_{x\rightarrow 5}x-5}=7\\$

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4 years ago

Identify the type of sampling that is used in this statement. A pollster uses a computer to generate 500 random numbers, then i

Jobisdone [24]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

A pollster uses a computer to generate 500 random numbers, then interviews the voters corresponding to those numbers.

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Cluster sampling includes dividing the population into groups specially geographically and these groups are called clusters and in which each element of selected group are used.

Stratified sampling divides into group known as strata but not geographically.

This type of sampling that is used is Stratified sampling.

Hence, Option 'C' is correct.

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3 years ago

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Verdich [7]

Answer:

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Step-by-step explanation:

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4 years ago

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Hello there!

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24-25 please help I don’t understand what to do

vovikov84 [41]

24. 9+(-6)=-3 is false because the 9 can’t go into the six and the six is by itself so it’s false
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3 years ago

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