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3 years ago

Can someone help me out with this question please?

Mathematics

2 answers:

eduard3 years ago

6 0

Answer:

A) Graph Y

Step-by-step explanation:

The equation matched graph Y.

I graphed the equation below to show that my graph and graph Y are the same.

If this answer is correct, please make me Brainliest!

scoray [572]3 years ago

6 0

Answer: Y

Step-by-step explanation:

First of all you have to complete the square, by doing that you get $(x+2)^2-4$ . Next you can graph it, (Small hint try making y=x^2 first and then moving it two left and 4 down). Doing that you can find that the graph exactly matches Y.

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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

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Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

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

Find the slope

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$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

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we have

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$b=-2$ ---> 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

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

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

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

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