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Arisa [49]
2 years ago
9

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth

ing to the left of the line is shaded.
Which linear inequality is represented by the graph?

y < 3x + 2
y > 3x + 2
y < One-thirdx + 2
y > One-thirdx + 2
Mathematics
1 answer:
crimeas [40]2 years ago
8 0

The inequality described can be written as:

y < 3x + 2.

<h3>How to get the inequality?</h3>

First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:

y < line.

The linear equation is of the form:

y = a*x + b

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

Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:

a = \frac{2 - (-7)}{0 - (-3)} = 9/3 = 3

And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:

y < 3x + 2.

If you want to learn more about inequalities:

brainly.com/question/2516147

#SPJ1

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Each roll is 80 feet long. How many rolls would be needed to decorate 240 feet of wall space?​
Tju [1.3M]

Answer:

3 rolls

Step-by-step explanation:

Divide 240 feet by 80 feet per roll. That equals 3.

6 0
3 years ago
Read 2 more answers
A rectangular room is 3 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of the room. The lengt
lyudmila [28]

Answer:

Width = 4 m

Length = 7 m

Step-by-step explanation:

given:

perimeter of a rectangle = 22m

L = 3 + W

perimeter = 2L + 2W

perimeter = 2 (3 + W) + 2W

22 = 6 + 2W + 2W

22 - 6 = 4W

W = 16 / 4

W = 4 m

L = 3 + W

L = 3 + 4

L = 7 m

check:

perimeter = 2L + 2W

22 = 2(7) + 2(4)

22 = 14 + 8

22 = 22  ---- OK

4 0
3 years ago
Calculate the area of the quarter circle estimate using 3.14 for pi
mars1129 [50]

The area of the quarter circle with radius 3ft is 7.065 ft^2

Area of a quarter circle is given by the formula:

Area = \frac{\pi r^2}{4}

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π  =  3.14

Substitute π = 3.14 and r = 3 into the formula Area = \frac{\pi r^2}{4}

Area = \frac{3.14 \times 3^2}{4}\\\\Area =   \frac{3.14 \times 9}{4}\\\\Area =  \frac{28.26}{4}\\\\Area = 7.065 ft^2

The area of the quarter circle with radius 3ft is 7.065 ft^2

Learn more here: brainly.com/question/25843249

6 0
2 years ago
I NEED HELP NOW ITS DUE TOMORROW!
beks73 [17]

Answer:

2 2/5

Step-by-step explanation:

14 divided by 5/6 is 2 2/5

3 0
2 years ago
Please help… sorry for asking a lot of questions
leva [86]
This correct answer is 10
3 0
3 years ago
Read 2 more answers
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