MATHEMATICS MIDDLE SCHOOL

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded. Which system of linear inequalities is represented by the graph? y > x – 2 and x – 2y < 4 y > x + 2 and x + 2y < 4 y > x – 2 and x + 2y < 4 y > x – 2 and x + 2y < –4

Answers

Answer 1

Answer:

Answer:

$y\geq x-2$

$x+2y<4$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=(y2-y1)/(x2-x1)$

substitute the values

$m=(0+2)/(2-0)$

$m=(2)/(2)$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=(y2-y1)/(x2-x1)$

substitute the values

$m=(0-2)/(4-0)$

$m=(-2)/(4)$

$m=-(1)/(2)$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-(1)/(2)$

$b=2$ ---> the y-intercept is given

substitute

$y=-(1)/(2)x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y<-(1)/(2)x+2$

Rewrite

Multiply by 2 both sides

$2y<-x+4$

$x+2y<4$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y<4$

see the attached figure to better understand the problem

Answer 2

Answer:

Answer:

17 1st option

35 2nd option

Step-by-step explanation:

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AND:

3x+4y=12}
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WITH STEPS PLEASE!!!!!

Answers

$5x-y=10 \n4x-2y=20 \ \ \ |\hbox{divide both sides by (-2)} \n \n5x-y=10 \n\underline{-2x+y=-10} \ \ \ |\hbox{add by sides} \n5x-2x-y+y=10-10 \n3x=0 \nx=0 \n \n\hbox{substitute 0 for x in one of the equations:} \n5 * 0 -y=10 \n-y=10 \ny=-10 \n \n\hbox{the answer:} \nx=0 \n y=-10$

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the price of a tv was originally 374.99 and reduced to 299.50. what was the percent decrease of the price of the tv round your answer to the nearest tenth

Answers

first you should say:
374.99 - 299.50 = 75.49
so now you should say:
75.49/374.99 = ?/100
so ? is the percent:
? = (75.49*100)/374.99 = 20.131 % :)))
i hope this is helpful
have a nice day

Answer: 20.13% decrease

Step-by-step explanation:

First, you should do: 374.99 - 299.50 = 75.49

After that, you should divided 75.49 by 374.99 =

(75.49 x 100)/374.99 = 20.131%

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Answers

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Answers

3 7/8

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So we get

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= $(24+7)/(8) = (31)/(8)$

$3(7)/(8)=(3\cdot8+7)/(8)=(31)/(8)$

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Answers

It is pretty much the difference between 12 and 15. And that would be 3. If this is right could you possibly give me brainliest? Hope this helped.

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