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Elodia [21]
3 years ago
8

Domain and range of y=-.50x+12

Mathematics
1 answer:
Alja [10]3 years ago
3 0
Domain: all real numbers
Range: y<0
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Stella graphs the equation y=1/3x – 2
faltersainse [42]

we have

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

<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

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

<u>case B)</u> 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

<u>case C)</u> 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)

<u>case D) </u>The slope of the line is 3

The statement is False

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

<u>case E)</u> 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

so

For x=0

find the value of y

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

the y-intercept is equal to -2


5 0
3 years ago
Read 2 more answers
What is the constant of proportionality in the equation y = 5/9 x ?
Mazyrski [523]

The constant of proportionality is 5/9

y= kx  where k is the constant of proportionality

y = 5/9 x

k = 5/9

6 0
3 years ago
Equation<br><img src="https://tex.z-dn.net/?f=%28z%20%2B%20%20%5Cfrac%7B6%7D%7B7%7D%20%29%20%2B%20%20%5Cfrac%7B2%7D%7B14%7D%20%2
ddd [48]

Given:

The equation is

\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1

To find:

The solution of the given equation.

Solution:

We have,

\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1

It can be written as

\left(z+\dfrac{6}{7}\right)+\dfrac{1}{7}=-1

\left(z+\dfrac{6}{7}\right)=-1-\dfrac{1}{7}

Multiply both sides by 7.

7z+6=-7-1

7z+6=-8

7z=-8-6

7z=-14

Divide both sides by 7.

z=\dfrac{-14}{7}

z=-2

Therefore, the value of z is -2.

5 0
2 years ago
Pls help with this question tyy
bearhunter [10]

Answer:

0

Step-by-step explanation:

63/9=7

7^2=49

49/7=7

7-7=0

6 0
3 years ago
Read 2 more answers
What's the points distance I need help!​
KATRIN_1 [288]

Answer:

Step-by-step explanation:

3.6

6 0
2 years ago
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