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Nikitich [7]
3 years ago
10

Which shows three ordered pairs that are all solutions of the equation y = x + 7?

Mathematics
1 answer:
hoa [83]3 years ago
4 0
Plug in both of the numbers for x and y in the equation.
After you do that, you should get B as your answer.
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−5y+8x=−18<br> 5y+2x=58 <br> Solve the system of equations.<br> ​
kvasek [131]

Answer:

1:   −5y+8x=−18  

Slope = 3.200/2.000 = 1.600

 x-intercept = -18/8 = -9/4 = -2.25000

 y-intercept = 18/5 = 3.60000

2:   Slope = -0.800/2.000 = -0.400

 x-intercept = 58/2 = 29

 y-intercept = 58/5 = 11.60000

Step-by-step explanation:

1: Step  1  :

Equation of a Straight Line

1.1     Solve   -5y+8x+18  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -5y+8x+18  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 18/5 so this line "cuts" the y axis at y= 3.60000

 y-intercept = 18/5  =  3.60000  

Calculate the X-Intercept :

When y = 0 the value of x is -9/4 Our line therefore "cuts" the x axis at x=-2.25000

 x-intercept = -18/8 = -9/4  = -2.25000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.600 and for x=2.000, the value of y is 6.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.800 - 3.600 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

2: Same thing

8 0
3 years ago
At the start of the month, Jodie had sold 885 copies of her new book. At the end of the month, she had sold 1,364 copies of her
ozzi

Approximately $ 31419 profit is earned from selling books in entire month

<em><u>Solution:</u></em>

Given that Jodie had sold 885 copies of her new book

At the end of the month, she had sold 1,364 copies of her book

We have to determine the profit earned in the entire month

From given information,

Start of month sale = 885 copies

End of month sale = 1364 copies

Total copies of books sold = Start of month sold + end of month sold

Total copies of books sold = 885 + 1364 = 2249

Also given that each book profit is $ 13.97

Profit of 1 book = $ 13.97

<em><u>Therefore for 2249 books, profit earned is given as:</u></em>

Profit of 2249 books = $ 13.97 x 2249 = 31418.53

Therefore approximately $ 31419 profit is earned from selling books in entire month

5 0
2 years ago
What is the surface area of a box with the dimensions of length 4cm, width 3cm, and height 5cm? Only type the number - no units.
stich3 [128]

Answer:

heyy

Step-by-step explanation:

5 0
3 years ago
Laundry detergent is priced at 20 ounces for $3.40 or 14 ounces for $2.10.what is the the unit rate of the laundry detergent tha
lutik1710 [3]

Answer:

0.17 cents per ounce, which is the 20 ounce

Step-by-step explanation:

3.40 / 20 = 0.17 cents per ounce

2.10/14 = 0.15 cents per ounce

3 0
2 years ago
Read 2 more answers
Find the area of a circle whose circumference is 18.84.
ivann1987 [24]

Answer:

310.23

Step-by-step explanation:

circumference is radius * 2

to get radius from circumference, divide circumference by 2

18.84 / 2 =9.42

area for circle:

pi * r^2

3.14 * 9.94^2

3.14 * 98.8

310.23

7 0
1 year ago
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