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Anastaziya [24]
4 years ago
13

Which graph shows the solution set of x^2+4x-12/x>0?

Mathematics
2 answers:
ExtremeBDS [4]4 years ago
6 0

Answer:

D

Step-by-step explanation:

Consider the inequality

\dfrac{x^2+4x-12}{x}>0

First, factor the numerator:

x^2+4x-12=x^2+6x-2x-12=x(x+6)-2(x+6)=(x+6)(x-2)

Now, the inequality is

\dfrac{(x+6)(x-2)}{x}>0

The equivalent inequality is

x(x+6)(x-2)>0

On the number line plot doted points -6, 0 and 2 and put signs +, -, +, - from the right to the left. Intervals with + signs are the solution of the inequality:

x\in(-6,0)\cup(2,\infty)

that is represented by D number line.

postnew [5]4 years ago
6 0

Answer:

D

Step-by-step explanation:

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How to solve 6x + y= -5, -6x + 12y=96 using elimination and does it have no solution or many solutions?
Alika [10]

Answer:

x = -2

Step-by-step explanation:

Arrange 6x + y= -5, -6x + 12y=96 vertically:

6x + y= -5

-6x + 12y=96       Now combine like terms:

--------------------

       13y = 91

Solving for y by dividing both sides by 13:  y = 7

Find x by substituting 7 for y in the second equation:  -6x + 12(7) = 96

Then -6x = -84 + 96, or:

-6x = 12, and so x = -2

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3 years ago
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4 years ago
The complement of angle a is 20° less than half the supplement of angle a. find the measure of angle a.
igor_vitrenko [27]

Answer:

∠a=40°

Step-by-step explanation:

complement of angle a=90-a

supplement of angle a=180-a

90-a=1/2(180-a)-20

multiply by 2

180-2a=180-a-40

180-180+40=-a+2a

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Answer:

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Step-by-step explanation:

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dlinn [17]

Answer:

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Step-by-step explanation:

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x= 15 1/2 + 3

x= 18 1/2

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