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slava [35]
3 years ago
12

Which inequality is true? Use the number line to help.

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0

Answer:

  c. -1.5 < -0.5

Step-by-step explanation:

a. -1.5 > 0.5 . . . . false

b. -0.5 > 0 . . . . . false

c. -1.5 < -0.5 . . . TRUE

d. 1/2 > 0.5 . . . . false (these are the same number) 1/2 = 0.5

_____

In order on the number line from left to right, you will see ...

  (left end) ... -1.5 ... -0.5 ... 0 ... 0.5 ... (right end)

__

The inequality relation appropriate to these is ...

  (number on the left) < (number on the right)

Of course, this can be swapped around so you have ...

  (number on the right) > (number on the left)

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<img src="https://tex.z-dn.net/?f=%28x%20%2B%20k%29%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%201x%20%2B%20%20
ozzi
If we take the equation and multiply out the left side, we get....

x^{2} + 2xk + k^{2} = x^{2} + x +k^{2}

The x^2 and k^2 cancel out on both sides leaving us with this...

2kx = x

If we divide both sides by 2x to isolate k, k ends up = 1/2
4 0
4 years ago
<img src="https://tex.z-dn.net/?f=1%2F2x%5E3%20%2B%20x%20-7%20%3D%20-3%5Csqrt%7Bx%7D%20%20-1" id="TexFormula1" title="1/2x^3 + x
Margaret [11]

Answer:

  none of the above

Step-by-step explanation:

The problem as written cannot have any of the solutions offered.

For any of those choices, the right side expression will be irrational. The left side expression will be rational for any rational value of x, so cannot be equal to the right-side expression.

The solution is an irrational number near ...

  x ≈ 1.33682898582

5 0
3 years ago
Help if u can.
adelina 88 [10]

Answer:

It would be the 4th one and the last one I think

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
In ΔRST, s = 7.3 inches, t = 3.1 inches and ∠R=138°. Find the area of ΔRST, to the nearest 10th of a square inch.
Oksana_A [137]

Answer:

5.1 inches

Step-by-step explanation:

Five triangles make up the pentagon.

The area of each is aside

The area of the pentagon is 5

Substitute values and calculate

8 0
3 years ago
What is the decimal value of 16/32
Flauer [41]

The decimal value of 16/32 is 0.5

:)

5 0
3 years ago
Read 2 more answers
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