11.04.2023

# Please can you help... x/6 = -2 what is x

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09.07.2023, solved by verified expert

x = -12

Step-by-step explanation:

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x = -12

Step-by-step explanation:

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Mathematics

Table C represents the proportional relationship between the x and y values.

Step-by-step explanation:

Proportional relationship definition states that x increase y increases.Proportional relationship  definition states that x decrease y decreases.Table A x decreases and y increases so it is not proportionate.Table B x  decreases and y increases so it not proportionate.Table C x decreases y decreases and x increases y increase.Table C x remains 0 y to remains 0 so it is proportionate.Table D one part of x decreases and y increases it is not proportionate.
Mathematics

Table C represents the proportional relationship between the x and y values.

Step-by-step explanation:

Proportional relationship definition states that x increase y increases.Proportional relationship  definition states that x decrease y decreases.Table A x decreases and y increases so it is not proportionate.Table B x  decreases and y increases so it not proportionate.Table C x decreases y decreases and x increases y increase.Table C x remains 0 y to remains 0 so it is proportionate.Table D one part of x decreases and y increases it is not proportionate.
Mathematics
Choice B)  |x-2| - 6

Explanation:

Recall that for y = a| x-h | + k, the vertex is (h,k).

Since all of the answer choices have a > 0, this means all of the vertexes are the lowest point for each absolute value graph.

Consequently it tells us the lowest possible y value.

For choice A, the smallest y output possible is y = 2For choice B, it would be y = -6For choice C, y = 6 is the lowestAnd choice D says y = -2 is the lowest y value

Choices A, C and D indicate that getting y = -5 is impossible. For instance, if y = 2 is the smallest, then there's no way to get y = -5. I recommend making a number line.

The only thing left is choice B. If we plug in y = -5 then we get...

y = |x-2| - 6

-5 = |x-2| - 6

-5+6 = |x-2|

|x-2| = 1

x-2 = 1 or x-2 = -1

x = 1+2 or x = -1+2

x = 3 or x = 1

Plugging either of those x values into y = |x-2| - 6 leads to y = -5

You could try solving something like -5 = |x-6| + 2 for x, but you'll find that it has no solutions.

As another alternative, you can graph each answer choice. Then see which one intersects the horizontal line y = -5. You should see that only y = |x-2| - 6 does so.

Mathematics

Jake's error in step 3

Step-by-step explanation:

we have

Complete the square

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

step 2

Complete the square. Remember to balance the equation by adding the same constants to each side

step 3

Rewrite as perfect squares

Jake's error in step 3

He placed 6 instead of 3 in the left side

step 4

take square root both sides

step 5

step 6

step 7

x=5 and x=1

Mathematics
Choice B)  |x-2| - 6

Explanation:

Recall that for y = a| x-h | + k, the vertex is (h,k).

Since all of the answer choices have a > 0, this means all of the vertexes are the lowest point for each absolute value graph.

Consequently it tells us the lowest possible y value.

For choice A, the smallest y output possible is y = 2For choice B, it would be y = -6For choice C, y = 6 is the lowestAnd choice D says y = -2 is the lowest y value

Choices A, C and D indicate that getting y = -5 is impossible. For instance, if y = 2 is the smallest, then there's no way to get y = -5. I recommend making a number line.

The only thing left is choice B. If we plug in y = -5 then we get...

y = |x-2| - 6

-5 = |x-2| - 6

-5+6 = |x-2|

|x-2| = 1

x-2 = 1 or x-2 = -1

x = 1+2 or x = -1+2

x = 3 or x = 1

Plugging either of those x values into y = |x-2| - 6 leads to y = -5

You could try solving something like -5 = |x-6| + 2 for x, but you'll find that it has no solutions.

As another alternative, you can graph each answer choice. Then see which one intersects the horizontal line y = -5. You should see that only y = |x-2| - 6 does so.

Mathematics

Jake's error in step 3

Step-by-step explanation:

we have

Complete the square

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

step 2

Complete the square. Remember to balance the equation by adding the same constants to each side

step 3

Rewrite as perfect squares

Jake's error in step 3

He placed 6 instead of 3 in the left side

step 4

take square root both sides

step 5

step 6

step 7

x=5 and x=1

Mathematics

x = 2

Step-by-step explanation:

This blue line seems to be horizontal, and so a line perpendicular would have to be vertical. The only vertical line that passes through (2, 6) would be x = 2.

Mathematics
The graph intersects y = 0 at x = 2 and x = -6, so the answer is B.
Mathematics