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2 years ago

Find the slope and the equation pleaseand step by step PLEASE.

Mathematics

1 answer:

Svetllana [295]2 years ago

5 0

Answer:

y = $\frac{-4}{5}$ x + 1

Step-by-step explanation:

Slope is rise over run, or the vertical progression over the horizontal progression.

Your example has a line that heads downwards, so we know that the slope is negative. If we count the squares, the "rise" is down by 4. We count the squares going horizontally and there are 5. So, your slope is $\frac{-4}{5}$ .

The other half of the equation is the y-intercept, or where the line crosses the y axis. It appears to be at (0 , 1), so we can say that your y-intercept is 1.

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Marlina received her salary on Friday. She spent one-half of her salary on rent and then spent $338 on her electric and water bi

Alenkinab [10]

Answer:

$654

Step-by-step explanation:

Let the amount of money Marlina's received for her salary be x.

We know that she spent 1/2 of her salary on rent and then $338 on her electric and water bill. So, after this, she will have:

$x-\frac{1}{2}x-338$

Left of her salary.

Next, she spent one half of what was left. So, it will be one-half of the equation. Therefore, she will have spent:

$x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)$

Finally, she spent $56 for gas. So, we will subtract 56:

$x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)-56$

And we know that after all of the expenses, she will have $102 left. Therefore:

$x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)-56=102$

We want to know how much Marlina spent on rent. So, let's find her salary x first.

First, let's distribute the 1/2:

$x-\frac{1}{2}x-338-\frac{1}{2}x+\frac{1}{4}x+169-56=102$

Combine like terms:

$(x-\frac{1}{2}x-\frac{1}{2}x+\frac{1}{4}x)+(-338+169-56)=102$

Evaluate:

$\frac{1}{4}x-225=102$

Add 225 to both sides:

$\frac{1}{4}x=327$

Multiply both sides by 4:

$x=\$ 1308$

Therefore, Marlina received a total of $1308 for her salary.

We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:

$r=\frac{1}{2}(1308)=\$ 654$

And we're done!

7 0

3 years ago

Pease help, thank you

andreyandreev [35.5K]

Answer: -2

=====================================================

Draw a vertical line through 4 on the x axis. This vertical line crosses the parabola at some point (which we'll call point A). Draw a horizontal line from point A to the y axis and note how it lands on y = 12. Therefore the point (4,12) is on this parabola.

Repeat the same steps as before to find that (8,4) is also on the parabola

We need to find the slope of the line through (4,12) and (8,4)

m = (y2 - y1)/(x2 - x1)

m = (4-12)/(8 - 4)

m = -8/4

m = -2

The slope of this line is -2 meaning that the average rate of change from x = 4 to x = 8 is -2.

The line goes down 2 units each time you move to the right 1 unit.

6 0

3 years ago

A chef planning for a large banquet thinks that 2 out of every 5 dinner guest will order his soup appetizer he expects 800 guest

Masteriza [31]

Answer:

320 cups of soup

Step-by-step explanation:

2/5= x/800

2/5 =.04

800*.04 =320 x=320

2/5 = 320/800

2/5 =0.4 is equivalent to 320/800=0.4

6 0

3 years ago

Plz help quick. This question is on a quiz in Edg 2020 whoever answered first will get brainliest and I will be giving 50 points

lys-0071 [83]

Answer:

A B and D

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

27 as 3 to a power.

dolphi86 [110]

3^3 is equal to 3 * 3 *3, which is equal to 27

6 0

3 years ago

Find the slope and the equation pleaseand step by step PLEASE.​

Find the slope and the equation pleaseand step by step PLEASE.