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3 years ago

2|3x-3|+5=11 Find the absolute value Please show work

Mathematics

2 answers:

Yuri [45]3 years ago

4 0

Answer:

x=2,0

Step-by-step explanation:

Alexandra [31]3 years ago

3 0

Answer:

$x=2,0$

Step-by-step explanation:

STEP 1: Move all terms not containing |3x−3| to the right side of the equation.

$2|3x-3|=6$

STEP 2: Divide each term by 2 and simplify.

$|3x-3|=3$

STEP 3: Remove the absolute value term. This creates a ± on the right side of the equation because |x| = ±x

$3x-3=$ ±3

STEP 4: Set up the positive portion of the ± solution.

$3x-3=3$

STEP 5: Solve the first equation for x moving all terms not containing to the right side of the equation.

$3x=6$

STEP 6: Divide each term by 3 and simplify.

$x=2$

STEP 7: Set up the negative portion of the ± solution.

$3x-3=-3$

STEP 8: Solve the second equation for x by moving all terms not containing to the right side of the equation.

$3x=0$

STEP 9: Divide each term by 3 and simplify.

$x=0$

STEP 10: The solution to the equation includes both the positive and negative portions of the solution.

$x=2,0$

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In the figure below, a shaded polygon, which has equal sides and equal angles, is partially covered with a sheet of blank paper.

Zepler [3.9K]

Answer:

The polygon has 9 sides ⇒ D

Step-by-step explanation:

This is a tricky question

∵ The shaded figure is a quadrilateral

∴ The sum of the measures of its angles is 360

∵ Its angles are x, y, and two vertices of the polygon

∵ All angles of the polygon are equal in mesures

∴ x + y + m of 2 vertices = 360°

∵ x + y = 80

→ Substitute the value of x + y above by 80

∴ 80 + m of 2 vertices = 360

→ Subtract 80 from both sides

∴ m of 2 vertices = 280

→ Divide the two sides by 2

∴ m of 1 vertex = 140°

∴ The measure of each angle of the polygon is 140°

The sum of the measures of the interior angle and the exterior angle at any vertex of the polygon is 180°

∵ m of interior ∠ + m of exterior ∠ = 180° ⇒ at any vertex

∴ 140 + m of exterior ∠ = 180°

→ Subtract 140 from both sides

∴ m of exterior ∠ = 40°

∴ The measure of each exterior angle is 40°

The sum of the measures of the exterior angles of any polygon is 360°

∵ The measure of each exterior angle of the given polygon is 40°

∴ The number of the angles of the polygon = 360 ÷ 40 = 9

∵ The number of the angles of the polygon = the number of its sides

∴ The polygon has 9 sides

4 0

3 years ago

In a statistics course, a linear regression equation was computed to predict the final-exam score from the score on the first te

Elanso [62]

Answer:

Predicted final score of Josh $= 62.5$

Step-by-step explanation:

The linear regression relationship has been established between the final-exam score and the score on the first test

The relation ship is represented by a linear equation -

$y = 10 + 0.75 x\\$

Where

$x=$ score on the first test

$Y=$ final-exam score

Substituting the value of $x$ in above equation we will get -

$Y = 10 + 0.75 * 70\\Y = 10 + 52.5\\Y = 62.5$

Predicted final score of Josh $= 62.5$

6 0

3 years ago

Solve the equation for x, where x is a real number (5 points): -2x^2 + 5x + 2 = -3

Juli2301 [7.4K]

Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                              x = [ -b ± √(b^2 - 4ac) ] / (2a)
                              x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
                              x = [-5 ± √(25 - (-40) ) ] / ( -4 )
                              x = [-5 ± √(65) ] / ( -4)
                              x = [-5 ± sqrt(65) ] / ( -4 )
                              x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..

5 0

3 years ago

A student bought 3 shirts at $12.25 each and 2 pairs of pants at $25.50 each. How much money

4vir4ik [10]

Answer: 87.75

Step-by-step explanation:

Multiply 12.25 times 3 because the student bought 3 shirts

Then multiply 25.50 times 2 because the student bought two pairs of pants

Then add up both your multiplication together and you will get 87.75

3 0

4 years ago

1) A clerk have y dollars, all in $10 bills. What expression repression the number of $10 bills the clerk has?

valina [46]

1) y:10;
2) 4p+6q;
3) x +( x+ 1) = 59 => 2x = 58 => x = 29 => 29 and 30;

4 0

3 years ago

Read 2 more answers