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3 years ago

Which compound inequality is represented by the graph?

Mathematics

2 answers:

svlad2 [7]3 years ago

6 0

hmmmmmmmm

hope it helps

tatyana61 [14]3 years ago

5 0

Answer:

The answer would be $x < -2$ OR $x \ge 4$ .

Step-by-step explanation:

Do pay attention to the hollow circle from which $x < -2$ is found; that means the value of x does not include -2, and therefore the < sign is used.

Hope this helped!

You might be interested in

Find two integers whose sum is -3 and product is -18

Mariulka [41]

let two integers be x and y

A.T.Q

x+y= -3

or, x= -3-y(i)

and xy= -18

or,(-3-y)y= -18[by(i)]

or,- -3y-y²= -18

or,-y²= -18+3

or, -y²= -15

or, y²=15

therefore y=✓15

from (i)

x= -3-✓15

y=√15

7 0

2 years ago

Read 2 more answers

Jack read 20 pages of a book in 60 minutes. How many pages can he read in 75 minutes at the same rate? Write a proportional equa

AveGali [126]

Answer:

25 pages

Step-by-step explanation:

Create a proportion:

$\frac{pages}{minutes}$ = $\frac{20}{60}$ = $\frac{x}{75}$

Cross multiply and solve for x, the number of pages in 75 minutes:

60x = 1500

x = 25

So, he can read 25 pages in 75 minutes at the same rate

6 0

3 years ago

Read 2 more answers

Consider the graph of the line y = x – 4 and the point (−4, 2).

Hitman42 [59]

Answer:

a. The slope of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

a. For the line $y = x - 4$

You can identify that:

$m=1$

By definition, two lines are parallel if they have the same slope. Then, the slope of a line parallel to the given line is:

$m=1$

b. The equation of the line in Point-slope form is:

$y -y_1 = m(x - x_1)$

Where m is the slope and ( $x_1,y_1$ ) is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

$y -2 = (x +4)$

Give a value to "x", substitute it into this equation and solve for "y":

For $x=1$ :

$y -2 = (1 +4)$

$y= 5+2$

$y= 7$

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the slope of a line perpendicular to the given line is:

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

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

$y -2 = -1(x +4)$

$y -2 = -(x +4)$

Give a value to "x", substitute it into this equation and solve for "y":

For $x=3$ :

$y -2 = -(3 +4)$

$y= -7+2$

$y= -5$

Then, you get the point (3,-5)

8 0

3 years ago

If a hiker starts at sea level and increases her elevation at a rate of 1 foot per minute what will her elevation be in 20 minut

sattari [20]

Answer:

20 feet above sea level.

Explanation:

This can be solved by looking at the Rate of Change. It is given that for ONE minute that passes by, her elevation increases by ONE foot.

With this rate, after 20 minutes, the elevation can be shown as:

20 min × 1 foot= 20 feet.

4 0

2 years ago

Read 2 more answers

What is 3y^2-y-2 in factored form?

GaryK [48]

BY USING MIDDLE TERM SPLITTING,

3y^2-(3y-2y)-2

(3y^2-3y)+(2y-2)

3y(y-1)+2(y-1)

(3y+2)(y-1)

HOPE THIS WILL HELP U

7 0

3 years ago