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3 years ago

Which system of inequalities is represented by the graph?

Mathematics

2 answers:

Nikolay [14]3 years ago

7 0

The answer would be the 3rd option

ziro4ka [17]3 years ago

3 0

We are given a graph of the system of inequalities.

Given system of inequalities:

1) y < 2x

y ≤ 1

2) y > 2x

y ≥ 1

3) y ≤ 2x

y < 1

4) y ≥ 2x

y > 1.

In the show graph, we can see that red shaded portion have a dotted line.

And the graph is shaded above the dotted line.

Because graph is shaded above the dotted line, it should be only greater than sign.

<h3>So, the inequality y > 1 would best fit for that above shaded portion of the graph.</h3><h3>We, can see in 4th option we have y > 1 ( y is greater than 1).</h3><h3>Therefore, correct option is 4th option :</h3><h3> y ≥ 2x</h3><h3>y > 1</h3>

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C. Solve 1/2 x - (x+3)<1/3(x-1)

MAVERICK [17]

Answer: x = 28

Step-by-step explanation:

Let's solve your equation step by step!

3/8x + 15/2 = 18

Step 1: Subtract 15/2 from both sides.

3/8x + 15/2 - 15/2 = 18 - 15/2

3/8x = 21/2

Step 2: Multiply both sides by 8/3

(8/3) * (3/8x) = (8/3) * (21/2)

Step 3. Calculate

x = 28

7 0

2 years ago

Find the slope of a line parallel to y=(2/5)x + (4/5)

Tcecarenko [31]

Answer:

So if a line was parallel it would have same slope. You can search up what slope-intercept form means. But if you have an equation like this:

y = mx+b

The slope will be m. Your question is written in the form. 2/5 = m.

The slope is 2/5

The y-intercept is 4/5

6 0

2 years ago

Read 2 more answers

If a girl in a bikini has walked 4 KM in 10 minutes, How many kilometers does she walk in 3 years?

Mashutka [201]

Answer:

631139.04 kilometers in 3 years

Step-by-step explanation:

Let x = how many kilometers she walk

y = time (minutes)

Since she walks 4km in 10 minutes.

x = 4, y = 10

(4,10)

But how many minutes if she walk only a kilometer? Divide x and y by 4.

(1,2.5)

She walks a kilometer under 2.5 minutes.

Now finding rate of changes.

$\displaystyle \large{m = \frac{10 - 2.5}{4 - 1} } \\ \displaystyle \large{m = \frac{7.5}{3} } \\ \displaystyle \large{m = 2.5}$

Since m = 2.5

and of course, the function should be proportional so the equation should be y = mx.

$\displaystyle \large{y = 2.5x }$

Since time should be minutes instead of years.

Since 3 years = 1577847.6 minutes

$\displaystyle \large{1577847.6 = 2.5x}$

Divide both sides by 2.5

$\displaystyle \large{ \frac{1577847.6}{2.5} = x} \\ \displaystyle \large{631139.04 = x }$

5 0

2 years ago

Which of the following equations is a constant function? y = x y = 5 x = 5

Mamont248 [21]

Answer:

Second Option

$y = 5$

Step-by-step explanation:

A constant function is one for which the range does not change regardless of the value of the domain.

$f (x_1) = f (x_2) = f (x_3) = m$

Where m is a constant.

The constant functions are horizontal lines parallel to the axis of the x

Note that

$y = x$ is not a constant function because the value of y changes when x changes.

x = 1, y = 1

x = 2 y = 2

$x = 5$ is not a constant function because the range of the function is not constant. $x = 5$ is a vertical line

$y = 5$ is a constant function, since for any of the value of x, the value of y will always be 5

8 0

3 years ago

Solve the following equation for I. A = 2nr + nrl. Explain each step please

Cloud [144]

Sorry I’m not sure but I’ll try and help- lemme just add it to a different comment

3 0

3 years ago