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murzikaleks [220]
2 years ago
7

Solve for x. Show your work. -1/2x <-12

Mathematics
2 answers:
Juli2301 [7.4K]2 years ago
8 0

Answer:

24

Step-by-step explanation:

Multiply both sides of the inequality by -2 qnd flip the inequality sign:

- 2 \times ( -  \frac{1}{2} )x >  - 2x( - 12)

Multiply an even number of negative terms make the product positive:

2 \times  \frac{1}{2} x >  -2 \times ( - 12)

Reduce the number with the greatest common factor 2:

x >  - 2 \times ( - 12)

Multiply two negatives equal a positive: ( - ) × ( - ) = ( + ).

Multiply the number:

x > 2 \times 12

= 24

vitfil [10]2 years ago
5 0

Answer:

x>24

Step-by-step explanation:

First, let's re-write it multiplied by -2 on each side, the denominator will disappear and we'll have our x positive:

x>24

Remember: if you multiply a inequality for a negative number, change the sign to its opposite, for example the < become the >

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Step-by-step explanation:

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2 years ago
Parabolas y=−2x^2 and y=2x^2 +k intersect at points A and B that are in the third and the fourth quadrants respectively. Find k
OverLord2011 [107]

Answer:

-25  

Step-by-step explanation:

(1)   y = -2x²

(2) y =   2x² + k     Subtract (1) from (2)

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    k = -4x²

The parabolas are <em>symmetrical about the y-axis.</em>

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\dfrac{\mathrm dy}{\mathrm dt}=ky\iff\dfrac{\mathrm dy}y=k\,\mathrm dt

Integrating both sides, we get

\ln|y|=kt+C
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When t=0, we have y=10000, so that

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