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tatyana61 [14]
3 years ago
8

Which graph represents the following system of inequalities? y > 2x - 5 y <-3x

Mathematics
1 answer:
NARA [144]3 years ago
8 0

Answer:

The graph i the attached figure

Step-by-step explanation:

we have

y > 2x-5 ----> inequality A

The solution of the inequality A is the shaded area above the dotted line y=2x-5

The slope of the dotted line is positive

The x- intercept of the dotted line is the point (2.5,0)

The y- intercept of the dotted line is the point (0,-5)

y < -3x -----> inequality B

The solution of the inequality B is the shaded area below the dotted line y=-3x

The slope of the dotted line is negative

The x- intercept of the dotted line is the point (0,0)

The y- intercept of the dotted line is the point (0,0)

The solution of the system of inequalities is the shaded area between the two dotted lines

see the attached figure

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Help please............
AnnyKZ [126]
Hello!!

Well, the angles in a triangle must add up to 180 degrees.
So, since one angle is 40 degrees, the other two angles must add up to 140 degrees.
A quick look over the answer choices will show that option C, 35 degrees and 105 degrees, is the only possible answer.

Hope this helps!! Let me know if you have ANY questions.
6 0
3 years ago
Assuming boys and girls are equally​ likely, find the probability of a couple having a baby boy when their fifth child is​ born,
GREYUIT [131]

Answer: \dfrac{1}{2}

Step-by-step explanation:

If we assume that the boys and girls are equally​ likely, so the probability of having a girl is equal to probability of having a boy = \dfrac{1}{2} .

Let B = Event of having a boy.

G= Event of having a girl.

Since both events are independent of each other . (Events that do not depends on each other.)

So irrespective of the four baby boy , the probability that the fifth child is a boy = \dfrac{1}{2}

Therefore , the probability of a couple having a baby boy when their fifth child is​ born, given that the first four children were all boys= \dfrac{1}{2}

8 0
3 years ago
10 points pls helpppp!!!!!!!!!!!!!
aev [14]
Yes the answers is one of four 1/4
5 0
3 years ago
Read 2 more answers
What is the quotient of −1 and y
Tom [10]

Answer:

-1/y

Step-by-step explanation:

This quotient is the result when you divide y into -1:  -1/y

3 0
3 years ago
In ΔEFG, the measure of ∠G=90°, FG = 5.1 feet, and GE = 7.7 feet. Find the measure of ∠F to the nearest tenth of a degree.
BlackZzzverrR [31]

Answer:

∠F=56.5⁰

Step-by-step explanation:

It forms a right angled triangle.

The base of the triangle is given as 7.7 feet

The perpendicular of the triangle is given as 5.1 feet.

Find ∠E where

tan∠E=perpendicular/base

tan∠E=7.7/5.1

∠E=33.518

Find ∠F by substracting ∠G and ∠E from 180,

∠F=180-90-33.518

∠F=56.482

Round off to nearest tenth

∠F=56.5

8 0
3 years ago
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