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The two ordered pairs would represent points on a graph of 5x + 6y = 12 is (0, 2) and (6, -3)

How to determine the ordered pairs on the point on a graph

From the question, we have the following parameters that can be used in our computation:

5x + 6y = 12

Using the ordered pair (0, 2), we have

5 * 0 + 6 * 2 = 12

12 = 12

Using the ordered pair (6, -3), we have

5 * 6 + 6 * -3 = 12

12 = 12

Hence, the ordered pairs on the point on a graph are (0, 2) and (6, -3)

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Answer:

Step-by-step explanation:

let be x the price before the discount

original price= 28/(1-0.25)=28/0.75=37.33

original price=37.33

Answer:

37.3

Step-by-step explanation:

The original price = x which represents 100% of the price. So we subtract 100%-25, which is 100-25=75 or 75%(0.75)

So, $28 is 75% off the original price.

28 divided by .75 = 37.3

Then, 37.3 would be the original price.

Answer:

The correct answers are:

• The system has one solution.

• The lines intersect.

Step-by-step explanation:

We are given system of linear equations as:

y=x-4--------(1)

and 3 y-x= -7----------(2)

on substituting the value of 'y' from equation (1) into equation (2) we have:

3(x-4)-x=-7

⇒ 3x-3×4-x=-7

⇒ 3x-x= -7+12

⇒  2x=5

⇒

also putting the value of x into equation (1) we have:

• Hence, we get a unique value of x and y on solving the system of  linear equations.

             Hence, the system has one solution.

• the slope for line y=x-4 is 1  ( since on comparing the equation with y=mx+c; where m denotes the slope of line and c is the y-intercept)

                y-intercept is -4

            but the slope of line 3y-x = -7 i.e.

          hence the slope of second line is: .

                  and y-intercept is .

• They represent different lines.

• the lines intersect at the point

Answer and explanation:

Given : Equations and

To find : Which statements about the system are true? Check all that apply.

Solution :

First we solve the system of equations,

 .....(1)

 ......(2)

Substitute y from (1) in (2),

Substitute the value of x in (1),

1) The system has one solution i.e.

2) The system has solution which means it is not parallel lines.

Writing equation in slope from,

where m=1 and c=-4

where and c=-4

3) Both lines have different slopes.

4) Both lines have the same y-intercept.

5) The equations represent the different lines.

6) The lines intersect at

Answer:

the next term for the given arithmetic sequence would be B) 0