All categories

2 years ago

Which ordered pairs is a solution to −5x + 3y > 12?

2 answers:

8 0

Given the inequality statement, -5x + 3y > 12

We’ll substitute the given points to determine which is a solution that satisfies the inequality:

(3, 9):
-5(3) + 3(9) > 12
-15 + 27 > 12
12 > 12 (False statement, as 12 ≯ 12)

(-5, 5):

-5x + 3y > 12

-5(-5) + 3(5) > 12

25 + 15 > 12

40 > 12 (True statement). Thus, it is a solution.

(3, -6)
-5(3) + 3(-6) > 12
-15 - 18 > 12
-33 > 12 (False statement. -33 ≯ 12).

(-2, -5)
-5(-2) + 3(-5) > 12
10 - 15 > 12
-5 > 12 (False statement. -5 ≯ 12).

Therefore, the only solution is (-5, 5).

Please mark my answer as the Brainliest, if you find my explanations/solution helpful :)

In-s [12.5K]2 years ago

7 0

Answer :-

Given inequality ,

-5x +3y > 12
3y > 5x + 12
y > 5/3x + 12/3
y > 5/3x + 4

From the options ,

When x is 3 and y = 9

y >1* 5 + 4
y > 5 +4
9> 9 ( Not possible )

When x is -5 y is 5

y > 5/3*-5 + 4
y > -8.3 + 4
5 > -3.7 ( Possible )

When x is 3 y is -6

y > 5 + 4
-6 > 9 ( Not possible )

When x is -2 y is -5

y > -3.33 + 4
-5 > -0.67 ( Possible )

When x is 2 y is 8

y > 3.33 + 4
8 > 7.77 ( possible )

When x is -6 y is 0

y > -10 +4
0 > -6 ( possible )

You might be interested in

Given y+2x+7, write an equation whose graph is shifted 3 units to the right. Thank you!

ddd [48]

Answer:

y=2x+1

Step-by-step explanation:

To find the answer, first graph the equation and find coordinates for atleast 2 points. We can find (0,7) and (1,9). Next we add 3 to the x coordinate of each point. We get (3,7) and (4,9). We know the slope which is 2. So our equation becomes y=2x+b. Next we substitube a coordinate pair, with y and x in the equation. We get 7=2*3+b. Solve and we get 1=b.

Therefore,

y=2x+1.

I hope this helps.

6 0

2 years ago

Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct o

inn [45]

Answer: neither direct variation nor inverse variation.

Explanation:

1) The relation between two variables, y and x, is a direct variation if and only if the quotient between them, y/x, is constant. This is: y / x = k or, equivalently, y = kx.

Note that if y / x is constant, x / y is also constant.

In a direct variation, when x increases, y increases, and when x decreases, y decreases.

2) The relation between two variables, y and x, is an inverse variation if and only if their product, y×x is constant. This is: y × x = k or, equivalently y = k /x or x = k / y.

In an inverse variation when one of the variables increases the other decreases.

3) Writhe the given table and study whether the conditions for direct or inverse variation are met:

x y y/x y×x

-6 -72 -72/(-6) = 12 (-6)(-72) = 432

-4 -47 -47 / (-4) = 11.75 (-4)(-47) = 188

-3 -36 -36 / (-3) = 12 (-3)(-36) = 108

1 12 12 / 1 = 12 (1)(12) = 12

Conclusions;

a) Since neither y / x nor y×x have the same result for every pair, the relation is neither direct nor inverse.

b) Note that if the third pair were (-4, -48) instead of (-4, -47), y / x would be 12, which make a direct variation. In this case the function that modeled it would be:

y = 12x.

8 0

3 years ago

•If I could have help on 11-16 that would be awesome.•

oee [108]

Hope this can help you. I tried to solve each one out and I tried to write notes on how I got the equation and the answer. Message me if you can't read something, my handwriting tends to be messy :)