Mathematics : asked on SmokeyRN

11.04.2023

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x/6 = -2
what is x

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09.07.2023, solved by verified expert

Mathematics, English, Physics. Research Scholar at Indian Institute of Technology, Roorkee

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x = -12

Step-by-step explanation:

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Mathematics, English, Physics. Research Scholar at Indian Institute of Technology, Roorkee

5 344 answers

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x = -12

Step-by-step explanation:

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Mathematics

Which table represents a proportional relationship between the x and y values? A. X -6 -3 6 15 Y 7 9 3 -3 B. X -3 -1 1 3 Y 4 6 7 10 C X -3 -2 0 4 Y -12 -8 0 16 D. X -6 -2 0 8 Y -5 1 4 16

Step-by-step answer

P Answered by PhD

9

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

Which table represents a proportional relationship between the x and y values? A. X -6 -3 6 15 Y 7 9 3 -3 B. X -3 -1 1 3 Y 4 6 7 10 C X -3 -2 0 4 Y -12 -8 0 16 D. X -6 -2 0 8 Y -5 1 4 16

Step-by-step answer

P Answered by PhD

9

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

Which of the following expressions is equal to -5 for some value of x? A) |x - 6| + 2 B) |x - 2|-6 C) |x+2|+6 D) |x + 6|-2

Step-by-step answer

P Answered by PhD

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 is solving x^2-6x+5=0 by completing the square his steps are shown below step 1. x^2-6x=-5 step 2. x^-6x+9=-5+9 step 3. (x-6)^2=4 Step 4. sq root (x-6)^2=sq root 4 step 5. x-6=+- 2 step 6. x=6+-2 step 7. x=8 and x =4. which step is Jakes error in.

Step-by-step answer

P Answered by PhD

2

Jake's error in step 3

Step-by-step explanation:

we have

$x^{2} -6x+5=0$

Complete the square

step 1

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

$x^{2} -6x=-5$

step 2

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

$x^{2} -6x+9=-5+9$

$x^{2} -6x+9=4$

step 3

Rewrite as perfect squares

$(x-3)^{2}=4$

Jake's error in step 3

He placed 6 instead of 3 in the left side

step 4

take square root both sides

$\sqrt{(x-3)^2} =\sqrt{4}$

step 5

$(x-3)=\pm2$

step 6

$x=3\pm2$

step 7

x=5 and x=1

Mathematics

Which of the following expressions is equal to -5 for some value of x? A) |x - 6| + 2 B) |x - 2|-6 C) |x+2|+6 D) |x + 6|-2

Step-by-step answer

P Answered by PhD

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 is solving x^2-6x+5=0 by completing the square his steps are shown below step 1. x^2-6x=-5 step 2. x^-6x+9=-5+9 step 3. (x-6)^2=4 Step 4. sq root (x-6)^2=sq root 4 step 5. x-6=+- 2 step 6. x=6+-2 step 7. x=8 and x =4. which step is Jakes error in.

Step-by-step answer

P Answered by PhD

2

Jake's error in step 3

Step-by-step explanation:

we have

$x^{2} -6x+5=0$

Complete the square

step 1

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

$x^{2} -6x=-5$

step 2

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

$x^{2} -6x+9=-5+9$

$x^{2} -6x+9=4$

step 3

Rewrite as perfect squares

$(x-3)^{2}=4$

Jake's error in step 3

He placed 6 instead of 3 in the left side

step 4

take square root both sides

$\sqrt{(x-3)^2} =\sqrt{4}$

step 5

$(x-3)=\pm2$

step 6

$x=3\pm2$

step 7

x=5 and x=1

Mathematics

10- What is the equation of the line that is perpendicular to the given line and passes through the point (2, 6)? 8- (2,6) -6 O x = 2 4 O x = 6 -2 -10 -3 -6 -22 2 4 B 8 10 X O y = 2 O y = 6 (-34) (814) 8 WO

Step-by-step answer

P Answered by Master

26

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

Use the graph of f (x) to find the solutions to the equation f (x) = 0. a. two solutions: x = 6, -2 b. two solutions: x = -6, 2 c. one solution: x = -12 d. no solutions

Step-by-step answer

P Answered by Specialist

8

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

Mathematics

Use the graph of f (x) to find the solutions to the equation f (x) = 0. a. two solutions: x = 6, -2 b. two solutions: x = -6, 2 c. one solution: x = -12 d. no solutions

Step-by-step answer

P Answered by Specialist

8

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

Mathematics

Solve on the interval : [0,2pi] 4 csc x +6=-2 a. 7pi/6 , 11pi/6 b. pi/6 , 5pi/6 c. pi/3 , 5pi/3 d. 2pi/3 , 4pi/3

Step-by-step answer

P Answered by PhD

30

$4\csc{x}+6=-2
\\4\csc{x}=-8
\\ \csc{x}=-2
\\
\\ \frac{1}{\sin{x}}=-2
\\
\\ \sin{x}=- \frac{1}{2} 
\\
\\x= \frac{7\pi}{6}, \frac{11\pi}{6}$

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