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3 years ago

How to solve 2/3(6x-9)=-34

1 answer:

5 0

$\frac{2}{3} (6x-9)=-34 \\ \\ \frac{2(6x - 9)}{3} =-34 \\ \\ \frac{2 \times 3(2x-3)}{3} =-34 \\ \\ \frac{6(2x - 3)}{3} = -34 \\ \\ 2(2x - 3) = -34 \\ \\ 2x - 3 - \frac{34}{2} \\ \\ 2x - 3 = -17 \\ \\ 2x -17 + 3 \\ \\ 2x = -14 \\ \\ x = - \frac{14}{2} \\ \\ x = -7 \\ \\ Answer: \fbox {x = -7}$

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Paladinen [302]

Answer:

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Step-by-step explanation:

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8 0

2 years ago

A line had a slope of 2/3 and a y intercept at (0,14).What is the x intercept of the line?

pychu [463]

Answer:

y=2/3x+14

Step-by-step explanation:

The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14

The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:

0=2/3x+14

-14=2/3x

21=x

So the x-intercept is 21

6 0

3 years ago

Hey guys i just joined how do i do this

Sergeeva-Olga [200]

Answer: you can ask questions your struggling with and people like me will help you answer them. You can also help other people answer their questions and get points for it

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

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strojnjashka [21]

Im not sure what its asking.. whats the question?

8 0

2 years ago

X² – 4x – 12=0 solve by completing the square

Juliette [100K]

Answer:

x = -2 0r x = 6

Step-by-step explanation:

from the question

X² – 4x – 12=0

solve by completing the square method

we have;

X² – 4x – 12=0

X² – 4x = 12

to make the left hand side a perfect square we add 4 to both sides.

X² -4x + 4 = 12 + 4

X² -4x + 4 = 16

from left hand side X² -4x + 4

= (x -2) × ( x -2)

it can be simply expressed as

( x-2)²

so since X² -4x + 4 has been simplified to be ( x-2)²

then,

( x-2)² = 16

x - 2 = √ 16

since square root has two values it can either be positive or negative

so we have

x = 2 + √16

x = 2 - √16

therefore

x = 2 + √16

x = 2 + 4

x = 6

x = 2 - 4

x = -2

4 0

3 years ago