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Galina-37 [17]
3 years ago
15

What is the solution to the inequality below? X^2>=81

Mathematics
1 answer:
kotegsom [21]3 years ago
7 0
  • Answer:

<em>A. x ≤ - 9 or x ≥ 9</em>

  • Step-by-step explanation:

<em>x² ≥ 81</em>

<em>| x | ≥ 9</em>

<em>x ≥ 0 => x ≥ 9 => x ∈ [ 9 ; + oo)</em>

<em>x < 0 => x ≤ - 9 => x ∈ ( -oo ; - 9 ]</em>

<em>x ∈  ( -oo ; - 9 ] ∪ [ 9 ; + oo)</em>

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A cable is 50 decimeters long. How long is the cable in meters?
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The cable is 5 Meters long.

Step-by-step explanation:

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Step-by-step explanation:

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13,22,31,...<br> Find the 31st term.<br> Find the 31st term.
Galina-37 [17]

Answer: 283

Step-by-step explanation:

To do this, it is helpful to get an equation you can use to solve any term.

This equation is:

13 + 9(n-1)

So simply plug in 31 for n to get

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5 0
2 years ago
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If $-2 &lt; x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.
kotegsom [21]

Answer: (-9, 16]

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

-2 < x \le 3

5(-2) < 5x \le 5(3)

-10 < 5x \le 15

-10+1 < 5x+1 \le 15+1

-9 < 5x+1 \le 16

This converts to the interval notation  (-9, 16]

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

3 0
3 years ago
Caleb has an assignment to draw a contour map. What type of landform is he most likely drawing?
marysya [2.9K]

The type of land form that Caleb most likely draws is a hill. The answer is option C- a hill.

Step-by-step explanation:

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  • If the contour lines are drawn close, then steeper the figure is. And more distant the lines are drawn, then less steep the figure is.
  • Here, the lines seem to be likely circle in shape. The distance of the outermost contour line is 20 ft. The <u>next inner lines will have reduced values of 20 ft.</u>
  • Therefore, <u>the elevation gets reduced from higher to lower points</u> which provides a diagram of a hill. Since there is no continuous high and low elevations, this cannot be a valley (a range of mountains).
  • Furthermore, The contour diagram for option A and D such as creek(water stream) or shoreline will have different and mixed values of elevations that seems to be a messy structure of contour lines.
8 0
3 years ago
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