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2 years ago

Solve for x -6x + 14 <-28 OR 9x + 15 < -12

Mathematics

1 answer:

jek_recluse [69]2 years ago

7 0

Answer:

1.) x > 7

2.) x < -3

Step-by-step explanation:

1.) -6x + 14 < -28

-14. -14.

______________

-6x. < -42

/-6. /-6

_______________

x > 7 (always flip the sign when dividing by a negative #)

2.) 9x + 15 < -12

-15. -15

______________

9x < -27

/9. /9

_______________

x < -3 (since 9 is not negative, no need to flip the sign)

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Answer:

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Step-by-step explanation:

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Read 2 more answers

Is 4y=16x a Direct variation

gizmo_the_mogwai [7]

In the given equation, as the value of y increase, the value of x also

increases.

Yes, 4·y = 16·x is a direct variation

Reasons:

A direct variation is a relationship that exists between two variables. It is

also known as a direct proportion which can be expressed as; y = k·x

Where k is a number

The given equation is 4·y = 16·x

Dividing both sides by 4 gives;

$\displaystyle \frac{4 \cdot y}{4} = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}$

Which gives;

y = 4·x

Comparing the above equation with the equation for a direct variation gives;

y = 4·x

y = k·x

Therefore;

k = 4

The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.

Learn more about direct variation here:

brainly.com/question/6499629

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