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kherson [118]
3 years ago
5

Use substitution to determine which system is represented by the graph.

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0

Answer:

2x + 4y = 28

-2y = x + 28

Step-by-step explanation:

Looking at the graph, we can see that the lines do not intersect. Therefore, they do not have a shared solution. We need to find the system of equations that does not have a solution.

1) Let's try to solve the third system given (counting from the top). To solve with the substitution method, we need to isolate one variable in one of the equations. I chose to isolate y in -2y = x + 28:

-2y = x + 28\\y = \frac{-1}{2}x -14

2) Now that we've isolated the y in that equation, substitute what y equals in that equation for the y in the other equation. So, substitute \frac{-1}{2}x-14 for y in 2x + 4y = 28 and simplify:

2x + 4(\frac{-1}{2}x - 14) = 28\\2x - 2x- 64 = 28\\-64 = 28

In a normal situation, the x's would not cancel out, and we would be able to isolate x to get the x-value of the solution. However, in this case, they have, and we ended up with a false statement, as -64 does not equal 28. Whenever this happens, it means the system does not have a solution. Therefore, the third option would represent the system in the graph.

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ABCD is a rectangle. if AC = 3y/5 anf BD= 3(y-4), find the length of each diagonal
Digiron [165]
Remember please that Diagonals of a Rectangle are equal to each other:<span> 3y/5 = 3(y-4)
So 
</span><span>3y = 15(y-4)
3y = 15y - 60
60 = 12y
y = 5 Diagonals are both 3 units
With that you will be able to know which is the answer from your options</span>
3 0
3 years ago
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more effic
Digiron [165]

Answer:

see explaination

Step-by-step explanation:

The p-value for Factor A is greater than 0.1

What is your conclusion with respect to Factor A?

Factor A is not significant.

The p-value for Factor B is greater than 0.1

What is your conclusion with respect to Factor B?

Factor B is not significant.

The p-value for the interaction of factors A and B is greater than 0.1

What is your conclusion with respect to the interaction of Factors A and B?

The interaction of Factors A and B is not significant.

What is your recommendation to the amusement park?

Since method is not a significant factor, use either loading and unloading method.

4 0
3 years ago
Which multiplication problem is equivalent to 338÷34?
gtnhenbr [62]

Answer:

What are the options?

Step-by-step explanation:

7 0
3 years ago
The perimeter of a basketball court is 84 meters and the length is 6 meters longer than twice the width. what are the length and
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The length is 30 meters and the width is 12 meters. 
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3 years ago
y = x2 - 6x - 8 Complete the square in the quadratic equation in order to write the equation in vertex form.
Airida [17]

Answer:

y = (x-3)^2 - 17

Step-by-step explanation:

To complete the square, take the middle term bx and divide it in two. Then take the square.

x^2 - 6x - 8 has bx = -6x. Take -6/2 = -3. Square -3^2 = 9.

Now to finish completing the square add 9 and subtract 9 from one side.

y = x^2 - 6x - 8

y = (x^2 - 6x +9) -9 - 8

y = (x-3)^2 - 17

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