All categories

2 years ago

Solve the equation: 1/6(6x−12)=−13−(x−3)

Mathematics

1 answer:

mr Goodwill [35]2 years ago

3 0

Answer:

x = -4

Step-by-step explanation:

1/6(6x−12)=−13−(x−3)

Distribute

x -2=−13−x+3

Combine like terms

x-2 = -x-10

Add x to each side

x-2+x = -x-10+x

2x-2 = -10

Add 2 to each side

2x-2 +2 = -10+2

2x = -8

Divide by 2

2x/2 = -8/2

x = -4

You might be interested in

which expression is equivalent to the product 2x(x+2) (x-3)? A. 12x to the third - 12x ) B. 2x to the third - 4x squared - 6) C.

Law Incorporation [45]

Answer:

Option 4 is the correct option.

Step-by-step explanation:

We need to solve the expression 2x(x+2)(x-3)

Multiplying the terms with each other we get,

$2x(x+2)(x-3)\\=2x(x^2 -3x+2x-6)\\=2x(x^2 -x -6)\\=2x^3 -2x^2 -12x$

Option 4 is the correct option.

3 0

3 years ago

Type in a value that represents as likely as not in a decimal form.

dem82 [27]

Msmsososns lsos s smslsoos

7 0

2 years ago

It is not B so plz help me

11111nata11111 [884]

Answer:

The picture is blocked out D:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

18. A set of data has a sample mean of 65.4 and a standard deviation of 1.2. If the sample size is 45, what is the 99% confidenc

Agata [3.3K]

Given:

Sample mean = 65.4

Standard deviation = 1.2

Sample size = 45

Confidence level = 99%

To find:

The confidence interval.

Solution:

The formula for confidence interval is

$CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}$

where, $\overline{x}$ is sample mean, z* is confidence value, s is standard deviation and n is sample size.

Confidence value or z-value at 99% = 2.58

Putting the given in the above formula, we get

$CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}$

$CI=65.4\pm 0.46$

$CI=65.4-0.46\text{ and }CI=65.4+0.46$

$CI=64.94\text{ and }65.86$

Therefore, the correct option is D.

5 0

2 years ago

Which sets of side lengths could form a triangle? Choose all that apply.

Svetlanka [38]

Answer:

4, 6, 9 and 5, 5, 9

4 0

2 years ago