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Ksenya-84 [330]
3 years ago
11

Which order pair could be a solution to this inequality

Mathematics
1 answer:
Tasya [4]3 years ago
6 0

Answer:

(0,3)

Step-by-step explanation:

Given inequality is

y< x+ 4

to check the solution we plug in each ordered pair and check with our inequality

Lets check (-1,4)

here x=-1  and y =4

We plug in -1 for x  and 4 for y in our inequality y<x+4

4 < -1 + 4

4 < 3 that is false, so (-1,4) is not our solution

Now we plug in (0,5), x=0  and y = 5

y < x+4

5 < 0 + 4

5<4  that is false, so (0,5) is not our solution

Now we plug in (0,3), x=0  and y = 3

y < x+4

3 < 0 + 4

3<4  that is true,  so (0,3) is our solution


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State whether the lines are parallel, perpendicular, coinciding, or neither: 6x+3y=–15 and y–3=–2x
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Answer:

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<u>Step-By-Step Explanation:</u>

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<u>We can see that the slope of 6x+3y = 15 is -2</u>

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Here are our two Functions In Slope Intercept Form

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y = -2x + 3

<u>Remember the m = slope and the b = y-intercept</u>

y = mx + b

y = -2x + 5

y = -2x + 3

------------------------------------------------------------------------------------------------------

We can see both equations have the same slope of -2 so this means they could be parallel because parallel functions have the same slope but coinciding functions have the same slope too. To tell if the two functions are coinciding, the functions need to have the same slope and the same y-intercept. Looking at the two functions, we can see they have the same slope of -2 but their y-intercept are different so this makes the two functions parallel.

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