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3 years ago

Which inequality statement describes the two numbers on a number line?

Mathematics

1 answer:

ikadub [295]3 years ago

6 0

Answer:

The answer is: D

Step-by-step explanation:

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Stella graphs the equation y=1/3x – 2

faltersainse [42]

we have

$y=\frac{1}{3}x-2$

Statements

case A) The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

case B) The line passes through the origin.

The statement is False

Because the point $(0,0)$ is not a solution of the equation

Verify

Substitute the value of x and y in the equation

$0=\frac{1}{3}*0-2$

$0=-2$ ------> is not true

the point $(0,0)$ is not a solution

therefore

The line does not pass through the origin

case C) The line passes through the point $(0,-2)$

The statement is True

Because the point $(0,-2)$ is a solution of the equation

Verify

Substitute the value of x and y in the equation

$-2=\frac{1}{3}*0-2$

$-2=-2$ ------> is true

the point $(0,-2)$ is a solution

therefore

The line passes through the point $(0,-2)$

case D) The slope of the line is $3$

The statement is False

Because, the slope of the line is $m=\frac{1}{3}$

case E) The y-intercept of the line is $2$

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

For $x=0$

find the value of y

$y=\frac{1}{3}*0-2=-2$

the y-intercept is equal to $-2$

5 0

4 years ago

Read 2 more answers

A ramp rises 2.9 ft vertically and extends 58 At horizontally. Find the slope of the ramp.

Ymorist [56]

Answer:

0.05

Step-by-step explanation:

The formula for slope is rise/run.

So, in this case it would be 2.9ft/58ft = 0.05

8 0

3 years ago

Read 2 more answers

A dish that is served at a summer camp calls for 160 ounces of milk. How many one pint containers of milk are needed?

Ivahew [28]

Answer: 2,560 pint containers

Step-by-step explanation:

1 ounce = 0.0625 pints

160 ounces / 0.0625 = 2,560 cointainers of one pint each

3 0

3 years ago

Read 2 more answers

Please Help. Will give brainliest.

Keith_Richards [23]

Answer:

mDBC = 341 °

Step-by-step explanation:

Arc DBC is almost the whole circle, if you were to exclude the degree measure of minor arc DC; which is, in other words m∠ DPC

Now by Vertical Angles Theorem:

m ∠ DPC = m∠ APB, ⇒ provided BD, and AC are diameters

m∠ DPC = 19°

This would mean ⇒

mDBC = 360 - m∠ DPC,

mDBC = 360 - 19,

mDBC = 341 degrees ( ° )

3 0

3 years ago

HELP PLSSSS I DONT UNDERSTAND WALLAH

Harlamova29_29 [7]

Answer:

7.2

Step-by-step explanation:

Distance between (4, 3) and (8, 9):

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$d = \sqrt{(8 - 4)^2 + (9 - 3)^2}$

$d = \sqrt{(4)^2 + (6)^2}$

$d = \sqrt{16 + 36}$

$d = \sqrt{52} = 7.2$ (nearest tenth)

7 0

3 years ago