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Vikki [24]
3 years ago
11

How do you factor -x^4-5x^2+6

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0
(-x-1)(x-1)(x^2+6) 
distribute from there i think? 
math papa website can help with this... im not that good at math

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To have $25,000 to spend on a new car in five years, how much money should Jill invest today at 8% compounded monthly?
Mariulka [41]
The answer is B
Because if you use your calculation right you would end up with 16,463
7 0
3 years ago
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What is the coefficient of x2y3 in the expansion of (2x + y)5?
Zigmanuir [339]

Option C:

The coefficient of x^{2} y^{3} is 40.

Solution:

Given expression:

(2 x+y)^{5}

Using binomial theorem:

(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}

Here a=2 x, b=y

Substitute in the binomial formula, we get

(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}

                                                            $+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}

Let us solve the term one by one.

$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}

$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y

$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}

$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}

$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}

$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}

Substitute these into the above expansion.

(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}

The coefficient of x^{2} y^{3} is 40.

Option C is the correct answer.

5 0
2 years ago
Help asap please gkhtkrkgkrkfkgfkd
scoundrel [369]

Step-by-step explanation:

gkhtkrkgkrkfkgfkd ???

8 0
3 years ago
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What is the reason that m<2 and m<3 are supplementary
katen-ka-za [31]

Answer:

see explanation

Step-by-step explanation:

∠2 and ∠3 are same- side interior angles and are supplementary.

6 0
3 years ago
PLEASE HELP AND SHOW YOUR WORK!!
trasher [3.6K]

Answer: The answer would be B) 9% Decrease!

275 - 250 = 25.

25/275 = 0.0909090909

0.0909090909 x 100 = 9.09090909091

Finally you'd round it to 9%.

Therefore there was a 9% decrease in the amount of large pizzas.

Hope this helps (: Stay safe.

8 0
3 years ago
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