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2 years ago

Which of the following is the graph of y = |x - 3|

Mathematics

1 answer:

quester [9]2 years ago

8 0

Answer:

<u>y = | x - 3 | is graphed on the attachment below </u>↓

Step-by-step explanation:

If you ever need an equation graphed, here's a useful site called Desmos that can do that really well and for free.

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What is the equation of the line that passes through the points (4/5,1/5) and (1/2,3/2)?

Setler [38]

Answer:

$y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})$ point-slope form

$13x+3y=11$ (standard form)

Let me know if you prefer another form.

Step-by-step explanation:

The slope of a line can be found using $\frac{y_2-y_1}{x_2-x_1}$ provided you are given two points on the line.

We are.

Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.

(4/5 , 1/5)

-( 1/2 , 3/2)

-----------------

3/10 -13/10

2nd/1st = $\frac{\frac{-13}{10}}{\frac{3}{10}}=\frac{-13}{3}$ is our slope.

So the following is point-slope form for a linear equaiton:

$y-y_1=m(x-x_1) \text{ where } m \text{ is slope and } (x_1,y_1) \text{ is a point on the line }$

Plug in a point $(x_1,y_1)=(\frac{1}{2},\frac{3}{2}) \text{ and } m=\frac{-13}{3}$ .

This gives:

$y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})$

I'm going to distribute:

$y-\frac{3}{2}=\frac{-13}{3}x-\frac{-13}{6}$

Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:

$6y-9=-26x+13$

Add 26x on both sides:

$26x+6y-9=13$

Add 9 on both sides:

$26x+6y=22$ This is actually standard form of a line.

It can be simplified though.

Divide both sides by 2:

$13x+3y=11$ (standard form)

7 0

3 years ago

Read 2 more answers

What is 0.005 in percent and fraction

Sati [7]

For percent, you just move the decimal over two spaces to the right, and add the percent sign. In which that would be:
<em> .5%</em>
And for the fraction: Since the 5 is in the thousandths place, the fraction would equal to:
$\frac{5}{1000}$ when simplafied: $\frac{1}{200}$

~Hope this helped :)

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3 years ago

1) Mr. Benson spent of

mestny [16]

Answer: 7/10

Step-by-step explanation:

2/5+3/10=4/10+3/10=7/10

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3 years ago

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Jan has $28 to spend at the carnival.

a_sh-v [17]