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nalin [4]
2 years ago
13

Abriana claims that the solution to the system of linear equations y = 2x – 1 and –12x + 3y = 9 is (–2, –5). Select all methods

that could be used to prove Paige's claim.
Mathematics
1 answer:
EleoNora [17]2 years ago
7 0

Answer:

Substitution method can be used

Step-by-step explanation:

Given the system of equations

y = 2x-1 ....1

-12x + 3y = 9 ....2

The best method to use id the substitution method

Substitute equation 1 into 2;

From 2;

-12x + 3y = 9

-4x + y = 3

-4x + 2x-1 = 3

-2x -1 = 3

-2x = 3+1

-2X = 4

x = -4/2

x = -2

Substitute x = -2 into 1

y = 2x - 1

y = 2(-2)-1

y = -4-1

y = -5

Hence the solution to the system of equation is (-2, -5)

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Which steps transform the graph of y=x^2 to y=-(x-3)^2+2
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Answer:

reflection over the x-axis

shifted 3 right

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Step-by-step explanation:

This function is quadratic. Quadratic graphs are written as y=a(x-h)^2+k. Where a is a non-zero number that affects the vertical appearance of the graph, h is the horizontal placement, and k is the vertical placement.

When a is negative then, the graph has been reflected over the x-axis. This makes it look like it has been turned upside down. The variable h affects how the x-values are shifted. In this equation, h looks negative but it is actually positive because if you look at the formula, h is being subtracted. Positive h values move the graph right. So, the graph is shifted 3 units to the right. Finally, k does the same thing as h but on the vertical (y) axis. So, +2 makes the graph shift 2 units up.

8 0
2 years ago
Which expression does not belong? <br><br><br><br> (2c−d)(2c−d) (2c+d)(2c−d) (2c+d)(2c+d) (c+d)(c+d)
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Answer:

It could be any of them.

Step-by-step explanation:

First off, It could be said that (2c-d)(2c-d) doesn't belong because it includes two subtractions signs and none of the others do.

Secondly, It could be said that (2c+d)(2c-d) doesn't belong because it includes one subtraction sign and one addition sign and none of the others do.

Thirdly, It could be said that (2c+d)(2c+d) doesn't belong because it includes two addition signs, and none of the others do.

Finally, it could be said that (c+d)(c+d) doesn't belong because it doesn't have a multiplying factor of 2 within the parentheses.

I hope this helps :)

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