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Lorico [155]
4 years ago
5

What is the solution to x – 10 > – 12? (–∞, –18) (–18, ∞) (–∞, 18) (18, ∞)

Mathematics
2 answers:
Allisa [31]4 years ago
8 0

Answer:

(18, ∞)

Step-by-step explanation:

(18, ∞) is the only option that works. if we ignore the "greater than" sign, and just set the function equal to -12, we see that x-10=-12 would give us x=-2. If we plug in -3 for x, we get -13, which is less than -12. if we plug in -1 for x, we get -11, which is greater than -12. Therefore, with the function only having one critical point (zero), we know that every value greater than -2 is a solution. Technically, the full solution would be (-2, ∞). however, the only answer available meeting the criteria would be (18, ∞).

Diano4ka-milaya [45]4 years ago
6 0

Answer:

ITS <u>B</u><u> </u><u>I</u><u> </u><u>got</u><u> </u><u>it</u><u> </u><u>wrong</u><u> </u><u>and</u><u> </u><u>looked</u>

Step-by-step explanation:

B b b b b b b b b b b b

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Part 2: The equation of the line in slope intercept form is y=-3x-1

Explanation:

Part 1: It is given that the point A is (1,3) and the line B is y=2 x-2

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is m=2

Substituting the point (1,3) and m=2 in slope intercept form y=mx+b, we have,

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Let us substitute the values m=2 and b=1 in the slope intercept form y=mx+b, we get,

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Part 2: The given two coordinates are (-1,2) and (1,-4)

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is b=-1

The formula for slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting the coordinates (-1,2) and (1,-4), we have,

m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3

Thus, the slope is m=-3

Substituting the values b=-1 and m=-3 in the slope intercept formula y=mx+b, we get,

y=-3x-1

Thus, the equation of the line in slope intercept form is y=-3x-1

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