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Paladinen [302]
3 years ago
12

4x + 12 = 8 – x Do this and i will be thankful :)

Mathematics
2 answers:
emmasim [6.3K]3 years ago
7 0

Answer:

x = -4/5

Step-by-step explanation:

4x + 12 = 8 – x

4x + 4 = -x

4 = -5x

x = 4 / -5

x = -4/5

Brrunno [24]3 years ago
5 0

Answer:

  x = 5

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-12-(8)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  4x - 20  =   4 • (x - 5)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-12-(8)=0

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

4x - 20  =   4 • (x - 5)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

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\{4,-4\}

Step-by-step explanation:

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A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is
Otrada [13]

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

7 0
3 years ago
Alex saved 30% of his paycheck last month. He earned $240. How much did he save?
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3 years ago
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Identify the reflection rule on a coordinate plane that verifies that triangle A(-1,7), B(6,5), C(-2,2) and A'(-1,-7), B'(6,-5),
malfutka [58]

Answer:

Option B is correct.

The reflection rule is followed here is,  (x,y) \rightarrow (x, -y).

Explanation:

Since, the triangle is reflected over the x-axis , then only y- coordinates will get changed but the x coordinates will remain the same.

A(-1,7) \rightarrow A'(-1,-7)

B(6,5) \rightarrow B'(6,-5)

C(-2,2) \rightarrow C'(-2,-2)

Therefore, the only reflection rule on the coordinate plane that verifies the triangle are congruent when reflected over x-axis is, (x,y) \rightarrow (x, -y)


3 0
4 years ago
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