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podryga [215]
3 years ago
6

Does the point (2, 9) satisfy the inequality y ≤ 3 x + 1 ?

Mathematics
1 answer:
Naily [24]3 years ago
7 0

A point is written using the form (X,Y), so the first number is the X and the second number is the Y.


Replace x and Y in the given equation with the given point:


y ≤ 3x+1

9 ≤ 3(2) +1

9 ≤ 6 +1

9 ≤ 7


9 is not less than or equal to 7, so the point (2,9) does not satisfy the inequality.

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Answer:

Choice B: Only (-1,-5)

Step-by-step explanation:

With this one, first the equation needs to be reduced into point-slope format.

y+5=2(x+1)

Distributive Prop.

y+5=2x+2

Carry over the 5 to the opposite side.

y=2x-3

Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.

Choice A: X is 5; Y is 10

y=2x-3

y=2(5)-3

y=10-3

y=7

This does not give a y value of 10, so it is false.

Choice B: X is -1; Y is -5

y=2(x)-3

y=2(-1)-3

y= -2-3

y= -5

This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.

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jarptica [38.1K]

Answer:

Domain: 1, 2, 3, 4

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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