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ahrayia [7]
3 years ago
13

How to factor 4(x+5)^3(x-1)^2-(x+5)^4 • 2 (x-1) by grouping?

Mathematics
1 answer:
nata0808 [166]3 years ago
5 0
\bf 4(x+5)^3(x-1)^2-(x+5)^4\cdot 2(x-1)
\\\\\\
4(x+5)^3(x-1)^2-2(x-1)(x+5)^4
\\\\\\ \underline{2}\cdot 2\underline{(x+5)^3}(x-1)\underline{(x-1)}~-~\underline{2}\underline{(x-1)}(x+5)\underline{(x+5)^3}\leftarrow 
\begin{array}{llll}
notice~the\\
common\\ \underline{factors}
\end{array}
\\\\\\
2(x+5)^3(x-1)~[~2(x-1)-(x+5)~]
\\\\\\
2(x+5)^3(x-1)~[2x-2-x-5]\implies 2(x+5)^3(x-1)(x-7)
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4 0
3 years ago
Which two ratios represent qauntities that are proportional
Leokris [45]
Are there answer choices ?
6 0
3 years ago
If there are 19 questions and each question has 4 answers, what is the probability she will answer at least one question correct
gregori [183]

Answer:

0.9958

Step-by-step explanation:

P(being correct) = 1/4 = 0.25

Hence, p = 0.25

n = 19

P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

However, to save computation time, we could use a calculator :

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P(x ≥ 1) = 0.99577

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7 0
3 years ago
24 inches is 250% of what length
Alinara [238K]
The answer is:  " 9.6 inches " .
________________________________________________________
Explanation:
________________________________________________________

24 = 250/100 * x  ;

24 = 2.5 x ; 

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2.5 x / 2.5 = 24/ 2.5 ; 

x = 9.6 ; 

The answer is:  " 9.6 inches <span>" .
</span>_________________________________________________________

4 0
3 years ago
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