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STALIN [3.7K]
3 years ago
9

Please help out with this QUestion thank chu very much

Mathematics
2 answers:
Lady_Fox [76]3 years ago
5 0

Answer:

(-1,4)

Step-by-step explanation:

The given system of inequalities is:

x>-2:(red region)

y\le2x+7: (blue region)

The graph of the system f inequalities is shown in the attachment.

The points that lies in the intersection of the red and blue region is the solution to the inequality.

From the graph (-1,4) is a solution to the system of inequalities.

galina1969 [7]3 years ago
4 0

Answer:

The graph in the attached figure

The point  (-1,4)  represent a solution

Step-by-step explanation:

we have

x> -2----> inequality A

y\leq 2x+7 ----> inequality B

using a graphing tool

The solution is the shaded area

see the attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution of the system of inequalities

The point  (-1,4)  represent a solution

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Pepsi [2]

Answer:q = - 9 and r = - 10

Step-by-step explanation:

since g(x) is divided by (x - 1) with remainder - 12, then (1) = 4(1)³ + q(1)² + r + 3 = - 12, that is 4 + q + r + 3 = - 12

q + r + 7 = - 12 ( subtract 7 from both sides )

q + r = - 19 → (1)

Since (x - 3) is a factor of g(x), then

g(3) = 4(3)³ + q(3)² + 3r + 3 = 0, that is

108 + 9q + 3r + 3 = 0

9q + 3r + 111 = 0 ( subtract 111 from both sides )

9q + 3r = - 111 → (2)

The 2 equations to be solved simultaneously are (1) and (2)

Multiply (1) by - 3

- 3q - 3r = 57 → (3)

Add (2) and (3) term by term to eliminate r

6q = - 54 ( divide both sides by 6 )

q = - 9

Substitute q = - 9 into (1)

- 9 + r = - 19 ( add 9 to both sides )

r = - 10

Hope the helps!!! ❤️

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