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2 years ago

Equivalent factored form for 10x^2+15x-9=2x^2+x-14

Mathematics

1 answer:

yanalaym [24]2 years ago

3 0

Factored form - x= -1/2, -5/4

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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.

Blizzard [7]

Answer:

The answer is

$y = 3$

$y = - 4$

Step-by-step explanation:

We must find a solution where

$\frac{6}{y + 1} + \frac{y}{y - 2} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

$\frac{6}{y + 1} \times \frac{y - 2}{y - 2} + \frac{y}{y - 2} \times \frac{y + 1}{y + 1}$

Which equals

$\frac{6y - 12}{(y -2) (y + 1)} + \frac{ {y}^{2} + y }{(y - 2)(y + 1)}$

Add the fractions

$\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Simplify the right side by multiplying the fraction

$\frac{6y}{(y + 1)(y + 2)}$

Set both fractions equal to each other

$\frac{6y}{(y + 1)(y - 2)} = \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}$

Since the denomiator are equal, we must set the numerator equal to each other

$6y = {y}^{2} + 7y - 12$

$= {y}^{2} + y - 12$

$(y + 4)(y - 3)$

$y = - 4$

$y = 3$

6 0

2 years ago

Read 2 more answers

Two interior angles in a triangle measure 101 degrees and 34 degrees. What is the measure of the third angle?

Colt1911 [192]

All the angles in a triangle equal 180 degrees.

So,

101+34+x=180

x= the missing angle.

135+x=180

Subtract both sides by 135.

x= 45

The missing angle equals 45 degrees.

I hope this helps!
~kaikers

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3 years ago

Which type of triangle can be formed with sides measuring 8 inches 8 inches and 3inches

lisabon 2012 [21]

An isosceles triangle. This triangle has 2 sides that are equal.

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4. Which ordered pair is a solution of the equation y = 4x?

g100num [7]

The answer would be (-1,-4) because -1 is the z factor and -4 is the why then solve to make them equal the same thing.

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3 years ago

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58 percent of what is 61.4

Nana76 [90]

Answer:

35.612

Step-by-step explanation:

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