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3 years ago

G(x) =3x-1 find g(-4)

Mathematics

1 answer:

ira [324]3 years ago

6 0

First plug in -4 for g to get 3(-4)-1. 3(-4) equals -12, and -12-1 equals -13.

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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

3 years ago

Read 2 more answers

Math homework need help with this one. Thank you

Sliva [168]

Answer:

At 25 weeks Quert will have more pibs than Gespil.

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3 years ago

Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below.

Marrrta [24]

Answer:

B'(16,14)

Step-by-step explanation:

First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates

$M\left(\dfrac{2+8}{2},\dfrac{7+1}{2}\right)=M(5,4).$

Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then

$\dfrac{x+2}{2}=5\Rightarrow x=8,\\ \\\dfrac{y+1}{2}=4\Rightarrow y=7.$

Hence, B(8,7).

Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule

(x,y)→(2x,2y).

Thus,

B(8,7)→B'(16,14).

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3 years ago

There are 84 jars of jelly on a shelf at the store. Of these, 21 are grape. What percent of the jars of jelly are grape?

Vladimir79 [104]

Answer:

25%

Step-by-step explanation:

Start by dividing 84 by 4 and you get 21. Then take 100 and divide that number by 4, and you get 25. There is your answer. The 21 jars of grape jelly are equal to 25% of the number 84. Hope this helps!

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When solving negative one over five(x − 25) = 7, what is the correct sequence of operations?

Rufina [12.5K]

Add 25 to both sides x-25 +25 =7 +25
x =32

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3 years ago