The equation 2|3x−1|=10 has two solutions, one positive and one negative. Solve the equation to find the solutions.

Answers

Answer 1
Answer:

The two solutions of the equation 2|3x - 1| = 10 are x = 2 and

x = -4/3.

We have the following equation -

2|3x -1| = 10

We have to solve the equation to find the solutions.

What is modulus function ?

The modulus function is as follows -

for x > 0 , |x| = x

for x < 0 , |x| = - x

According to the question, we have -

2|3x - 1| = 10

|3x -1| = 5

Now, using the modulus property -

3x - 1 = 5       and       3x - 1 = -5

3x = 6        and       3x = -4

x = 2          and        x = -4/3

Hence, the two solutions of the equation 2|3x - 1| = 10 are x = 2 and

x = -4/3.

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Answer 2
Answer:


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I keep getting the same answer and I know I am using the right formula. don't know where I am going wrong.

Answers

From March 10 to May 12 = 63 days.

63 days / 365 days = 0.1726 years.


Simple interest formula = Interest = Principal X interest rate x time


Interest = 15305.50 - 15000 = 305.50

Principal = 15000

Time = 0.1726 years


Replace the values into the formula:

305.50 = 15000 x Interest rate x 0.1726

Simplify:

305.50 = 2589.041 x interest rate

Solve for interest rate:

interest rate = 305.50 / 2589.041

interest rate = 0.11799 x 100

Rate = 11.80%


If your the bus driver and you have 30 kids on the bus. But the first stop 10 kids get off the bus how old is the bus driver?

Answers

Answer:

P.ut your age since you're the bus driver

Step-by-step explanation:

Hope this helps!

Which expression equals
9 \sqrt[3]{10}

Answers

Answer:

B on edge

Step-by-step explanation:

5^3sqrt10+4^3sqrt10

Mass and weight math​

Answers

Answer: There is 1,000 milligrams in 1 gram.

Answer:

1000mg

Step-by-step explanation:

to be honest that's the obvious answer

and in advance

1kg=1000000mg

1kg=1000g

1g=1000g

Triangle EFG with the coordinates E (-3,5), F(-3, 1), (1, 1) is translated 2 units left and 4 units up. What is the y-value of the coordinate pair for point E?

Answers

The y-value for the E coordinate after the translation of the points will be 9.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that triangle, EFG with the coordinates E (-3,5), F(-3, 1), (1, 1) is translated as 2 units left and 4 units up.

E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9).

Therefore, the y-value for the E coordinate after the translation of the points will be 9.

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Answer:

the y value would be 9

full translation(-5,9)

Step-by-step explanation:

E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9)

What is the volume of a cone with the given dimensions. radius=4 cm; height= 10 cm

Answers

167.552 the volume of a cone is piR^2h/3

Answer:

167.47 \:  {cm}^(3)

Step-by-step explanation:

V_(cone)  =  (1)/( 3) \pi {r}^(2)h \n  \n  =  (1)/( 3) \pi *  {4}^(2) * 10 \n  \n =  (1)/( 3)  * 3.14 * 16 * 10 \n  \n  =  (1)/( 3)  * \: 502.4 \n  \n  = 167.466667 \n  \n  = 167.47 \:  {cm}^(3)