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Whitepunk [10]
4 years ago
9

What is 85 less than the product of 23 and an unknown number is 191 in an equation?

Mathematics
1 answer:
vladimir2022 [97]4 years ago
7 0
Let n is the unknown number
<span>the product of 23 and an unknown : 23n
</span><span>85 less than the product of 23 and an unknown number: 23n - 85
</span><span>85 less than the product of 23 and an unknown number is 191: 23n - 85 = 191
</span>
answer:
equation: 23n - 85 = 191
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What is the least common multiple of 6x^2+39x-21 and 6x^2+54x+84?
SOVA2 [1]

Answer:

12x^3+102x^2+114x-84

Step-by-step explanation:

<u>Given polynomials</u>:

\begin{cases} 6x^2+39x-21\\6x^2+54x+84 \end{cases}

Factor the polynomials:

<u>Polynomial 1</u>

\implies 6x^2+39x-21

\implies 3(2x^2+13x-7)

\implies 3(2x^2+14x-x-7)

\implies 3[2x(x+7)-1(x+7)]

\implies 3(2x-1)(x+7)

<u>Polynomial 2</u>

\implies 6x^2+54x+84

\implies 6(x^2+9x+14)

\implies 6(x^2+7x+2x+14)

\implies 6[x(x+7)+2(x+7)]

\implies 6(x+2)(x+7)

\implies 2 \cdot 3(x+2)(x+7)

The lowest common multiplier (LCM) of two polynomials a and b is the <u>smallest multiplier</u> that is <u>divisible</u> by both a and b.

Therefore, the LCM of the two polynomials is:

\implies 2 \cdot 3(x+7)(x+2)(2x-1)

\implies (6x^2+54x+84)(2x-1)

\implies 12x^3+108x^2+168x-6x^2-54x-84

\implies 12x^3+102x^2+114x-84

8 0
2 years ago
Read 2 more answers
(9x+7)(9x-7) what's the answer
MrRa [10]
They cancel each other out because one is + and the other is -.
8 0
3 years ago
Read 2 more answers
Please help. Find the product or quotient in simplified form. Explain how to multiply and divide fractions.
miskamm [114]
<span>5 1/6 x 1/3
</span>first convert 5 1/6 (which is a mixed fraction) into an improper fraction ...
=> 6*5+1/6 = 31/6
=>now we have ... 31/6 * 1/3
=> to multiply fractions we multiply the numerators ( top numbers ) with each other and the denominators (bottom numbers ) also the same way ...
=> 31/6 * 1/3 => 31*1 / 6*3 => 31/18 
=> then divide them to get answer as mixed fraction ..
=> 1 13/18  ..

<span>3 1/2 / 1 1/3
</span>=> here also first convert 3 1/2 and 1 1/3 into improper fractions ..
=> 3 1/2 => 2*3+1/2 => 7/2 
=> 1 1/3 => 3*1+1/3=> 4/3
=> now divide them ..
=> 7/2/4/3 
=> for dividing fractions we take the reciprocal of one fraction and then multiply ..
=> 7/2 * 3/4 
=> now multiply these two fractions ..
=> 7*3/2*4 => 21/8 
=> answer as mixed fraction = 2 5/8 ...

Hope it helps !!!


7 0
3 years ago
Choose the fraction that goes in the blank. 5/12&lt; _____&lt;3/4
Natasha2012 [34]

Answer:

All of the following fractions work: 1/2, 7/12, 8/12. There are endless possibilities.

Please mark as Brainliest! :)

4 0
3 years ago
Read 2 more answers
Evaluate the given integral by making an appropriate change of variables. 10 x ? 5y 8x ? y da, r where r is the parallelogram en
Artyom0805 [142]
Take

\begin{cases}u=x-5y\\v=8x-y\end{cases}

so that you have

\begin{cases}\mathbf x(u,v)=\dfrac{-u+5v}{39}\\\\\mathbf y(u,v)=\dfrac{-8u+v}{39}\end{cases}

which gives a Jacobian determinant of

|\det J|=\left|\begin{vmatrix}\mathbf x_u&\mathbf x_v\\\mathbf y_u&\mathbf y_v\end{vmatrix}\right|=\dfrac1{32}

So upon transforming the coordinates to the u-v plane, you have (and I'm guessing on what the integrand actually is)

\displaystyle\iint_R(10x-5y)(8x-y)\,\mathrm dA=\frac1{32}\int_{u=0}^{u=2}\int_{v=5}^{v=10}\frac5{13}(2u+3v)v\,\mathrm dv\,\mathrm du
=\displaystyle\frac5{416}\int_{u=0}^{u=2}\int_{v=5}^{v=10}(2uv+3v^2)\,\mathrm dv\,\mathrm du=\dfrac{2375}{104}
4 0
3 years ago
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