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tatiyna
3 years ago
5

Describe the graph of the inequality x > -1.

Mathematics
1 answer:
77julia77 [94]3 years ago
5 0

Answer:

See below

Step-by-step explanation:

Given

  • Inequality x > -1

This inequality covers the interval greater than  - 1

  • ( - 1, + oo)

Its graph covers the space to the right from the point -1

The vertical line  - 1 is a dotted line as - 1 is nor included

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schepotkina [342]

Answer:

The solution is x =0.

Step-by-step explanation:

The equation

\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2

can be rewritten as

2* sin(\dfrac{3\pi }{2} +2) =-2

and can be further simplified to

sin(\dfrac{3\pi }{2}+x ) =-1.

Now, taking the inverse sine of both sides we get:

sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)

\bold{(2).}\:  \dfrac{3\pi }{2} +2 =sin^{-1}(-1)

The value of the right side on the interval [0,2\pi) is

sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o) ,

which makes the equation (2)

\dfrac{3\pi }{2}+x  =\dfrac{3\pi}{2}

solving for x gives

\boxed{x = 0}

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4 0
3 years ago
What equation represents the line that passes through the points(6,-3) and (-4,-9)?
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A group of astronomers observed light coming from a star located a distance of 331,000,000,000,000,000,000,000,000 light-years f
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Help please explain in detail
yaroslaw [1]

Answer:

1. (n + 3)(5n + 8)

2. (x - 4)(7x - 4)

3. (k + 8)(7k + 1)

Step-by-step explanation:

1. We have to factorize 5n² + 23n + 24.

Now, 5n² + 23n + 24

= 5n² + 15n + 8n + 24

= 5n (n + 3) + 8 (n + 3)

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2. We have to factorize 7x² - 32x + 16

Now,  7x² - 32x + 16

= 7x² - 28x - 4x + 16

= 7x (x - 4) - 4 (x - 4)

= (x - 4)(7x - 4) (Answer)

3. We have to factorize 7k² + 57k + 8

Now, 7k² + 57k + 8

= 7k² + 56k + k + 8

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3 years ago
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statuscvo [17]

Answer:

9. is 3

10. is 1/5

Step-by-step explanation:

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