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3 years ago

Solve for x: |3x|=12

2 answers:

6 0

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-3|

For the Negative case we'll use -(x-3)

For the Positive case we'll use (x-3)

Step 3 :

Solve the Negative Case

-(x-3) = 12

Multiply

-x+3 = 12

Rearrange and Add up

-x = 9

Multiply both sides by (-1)

x = -9

Which is the solution for the Negative Case

Step 4 :

Solve the Positive Case

(x-3) = 12

Rearrange and Add up

x = 15

Which is the solution for the Positive Case

Step 5 :

Wrap up the solution

x=-9

x=15

Dennis_Churaev [7]3 years ago

3 0

Answer:

x = 4; x = -4

Step-by-step explanation:

|3x| = 12

3x = 12

3x/3 = 12/3

x = 4

3x = -12

3x/3 = -12/3

x = -4

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Find the area of the shape. Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.

Darya [45]

Answer:

314

Step-by-step explanation:

First, find the diameter which is 10 and square it. Then, multiply by pi or 3.14 to get 314.

(IF THIS HELPED PLEASE GIVE BRAINLIEST!)

6 0

3 years ago

mr. Williams and mrs.sims drove 380 miles for a school conference. Mrs.sims drove 55% of the miles. What fraction of miles did m

lisov135 [29]

So 55% is really 55/100
You take 100 - 55 to find how much Mr. Williams drove
100 - 55 = 45

So Mr. Williams drove 45/100 of the miles
Simplified is 9/20 of the miles

6 0

3 years ago

Read 2 more answers

Lily took out a 5-year loan from the bank for $31,000 to purchase a new car. At the end of the loan, she had paid a total of $37

otez555 [7]

Answer:

=24.5%

Step-by-step explanation:

Simple interest = (principal×rate×time)÷100. *brackets first*
transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time)
plug in values: rate = (100×37975) ÷ (31000×5)
the result is 24.5%

8 0

3 years ago

there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three time

hoa [83]

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

$0.05x + 0.1y + 0.25z = 3.65$

Dimes: 3 times greater than nickels:

This means that:

$y = 3x$

Quarters: One greater than double the number of nickels:

This means that:

$z = 2x + 1$

Value of x:

We have y and z as function of x, so we can replace into the equation and find the value of x, so:

$0.05x + 0.1y + 0.25z = 3.65$

$0.05x + 0.1(3x) + 0.25(2x+1) = 3.65$

$0.05x + 0.3x + 0.5x + 0.25 = 3.65$

$0.85x = 3.4$

$x = \frac{3.4}{0.85}$

$x = 4$

y and z:

$y = 3x = 3(4) = 12$

$z = 2x + 1 = 2(4) + 1 = 9$

There are 9 quarters, 4 nickels and 12 dimes.

A similar question is found at brainly.com/question/17096268

4 0

3 years ago

The length of the hypotenuse of a right triangle is three times the length of the shorter leg. The length of the longer leg is 1

k0ka [10]

Answer:

Step-by-step explanation:

Say the short leg is x and the hypotenuse is y. Then, y = 3x (because "The length of the hypotenuse of a right triangle is three times the length of the shorter leg.")

Use the Pythagorean Theorem: a^2 + b^2 = c^2 (where a and b are the legs and c is the hypotenuse). Here, we can say a = x and b = 12 and c = y. So:

x^2 + 12^2 = y^2

x^2 + 144 = (3x)^2

x^2 + 144 = 9x^2

8x^2 = 144

x^2 = 18

x = $\sqrt{18} =3\sqrt{2}$

The answer is D.

Hope this helps!

5 0

4 years ago

Read 2 more answers