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2 years ago

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The polynomial 6x^2 +37-60 represents an integer. Which expressions represents integer factors of 6x^2+37-60 for all values of x

?

1 answer:

aniked [119]2 years ago

3 0

Answer:

3x-4 and 2x+15

Step-by-step explanation:

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Circles M and K are congruent, QR is congrent to LN. Find the length of QR

Novosadov [1.4K]

Given QR is congrent to LN and QR = 4x + 2 and LN = x + 7.

So, QR = LN

Hence, we can set up an equation as following:

4x + 2 = x + 7

4x + 2 - x = x + 7 - x Subtract x from each sides.

3x + 2 = 7 By simplifying.

3x + 2 - 2 = 7 - 2 Subtract 2 from each sides.

3x = 5

$\frac{3x}{3} =\frac{5}{3}$ Divide each sides by 3 to isolate x.

So, $x=\frac{5}{3}$

Next step is to plug in $x=\frac{5}{3}$ in QR = 4x+2 to get length of QR.

So, $QR = 4(\frac{5}{3})+2$

$=(\frac{20}{3})+\frac{2}{1}$ Since 2 can be written as 2/1.

By multiplying the second fraction by the common denominator 3.

$=(\frac{20}{3})+\frac{2*3}{1*3}$

$=(\frac{20}{3})+\frac{6}{3}$ By simplifying the second fraction.

$=(\frac{26}{3})$

So, $QR=\frac{26}{3}$

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3 years ago

Suhal buys a total of 24 books from a charity shop. Hardbacks cost £2 and paperbacks cost £1.50. He spends £43.50. Let x represe

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Last month, at a tax free sale, joy bought 4 new blouses that cost $15.95 each and 2 new belts that cost $8.95 each. How much di

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Step-by-step explanation:

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