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2 years ago

Which of the following is the solution to |7x+12|=12

Mathematics

1 answer:

tamaranim1 [39]2 years ago

6 0

Answer:

$x=-\frac{24}{7}\\x=0$

Step-by-step explanation:

1. You must clear the absolute value bars.

2. You have two cases: a positive case and a negative case.

3. First, you can solve the positive case as following:

$7x+12=12\\7x=12-12\\x=0$

4. Now, you must solve thie negative case as you can see below:

$-(7x+12)=12\\-7x-12=12\\-7x=24\\x=-\frac{24}{7}$

5. Therefore, the answer is:

$x=-\frac{24}{7}\\x=0$

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Step-by-step explanation:

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3 years ago

Average precipitation for the first 7 months of the year, the average precipitation in toledo, ohio, is 19.32 inches. if the ave

Colt1911 [192]

Part A:

The probability that a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

$P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\sigma}\right)$

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months is given by:

$P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\ \\ =1-P\left(z\ \textless \ \frac{18-19.32}{2.44}\right) \\ \\ =1-P(z\ \textless \ -0.5410) \\ \\ =1-0.29426=\bold{0.7057}$

Part B:

The probability that an n randomly selected samples of a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

$P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\frac{\sigma}{\sqrt{n}}}\right)$

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that 5 randomly selected years will have precipitation greater than 18 inches for the first 7 months is given by:

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3 years ago

Which expression is the simplified form of -10 + 3x - x - 7x + 5x + 7 + 2x?

Mars2501 [29]

Answer:

Step-by-step explanation:

-10 + 3x - x - 7x + 5x + 7 + 2x

combine like terms

-10 + 3x - x - 7x + 5x + 7 + 2x

-3 + 3x - x - 7x + 5x + 2x

the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x

= 2x - 3

8 0

3 years ago

Select the correct answer. Which number has a terminating decimal expansion? A. 2/7 B.√12 C. 5/8 D. 2/11

quester [9]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to determine which number has a terminating decimal expansion.

Terminating decimal

A decimal number that contains a finite number of digits after the decimal point is called terminating decimal .

for example 0.123 is terminating decimal as it has finite number of digits after decimal point.

Now, we will look at each option to find the terminating decimal

A. 2/7

Converting in decimal form: 0.28571....

As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.

B.√12

Converting in decimal form: 3.46410....

As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.

C. 5/8

Converting in decimal form: 0.625

As it contain finite numbers after decimal point, so 5/8 is terminating decimal.

D. 2/11

Converting in decimal form: 0.18181....

As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.

Therefore, Option C is correct option.

4 0

2 years ago

Edmond and Karen were on a walk. It took them 35 minutes to reach their destination. They arrived at their destination at 1:40 P

Leviafan [203]

Answer:

1:05 p.m

Step-by-step explanation:

they took 35 minutes...... and they arrived at 1:40 p.m so 40-35= 5 = 1:05 p.m :)

8 0

3 years ago

Read 2 more answers