All categories

2 years ago

Which expression is in simplest form?

Mathematics

1 answer:

mixas84 [53]2 years ago

6 0

Answer:

The answer is simply A. (3 cube root 8)

Step-by-step explanation:

This is the solution because the cube root of 8 makes 2. All of the other options give a decimal/unsimplified number...

Hope this helps! :)

You might be interested in

Help please. (12 points)

Sphinxa [80]

because the symbol is a less than sign < the blue area needs to be below the red line and does not include the solution to Y ( if it included Y it would be a ≤ symbol.
When the solution isn't included, it is a dashed line.
so the answer would be D

6 0

2 years ago

Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by x:

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

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

4 0

2 years ago

How many times 6 goes into 31

Tju [1.3M]

It goes in 5 times but with 1 remainder

4 0

3 years ago

Read 2 more answers

Given a cylinder with a radius of 6 cm and a height of 12 cm, find the volume of the cylinder. Use 3.14 for \pi

sergey [27]

Answer:

$volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1356.48 \: {cm}^{3}$

5 0

2 years ago

DINING OUT Trevor and Michelle's restaurant bill comes to $35.50. They are planning to tip the waiter 12%.How much money should

Rzqust [24]

Answer:

4.26

Step-by-step explanation:

move the decimal twice to the left then multiply it by the total price

4 0

2 years ago

Read 2 more answers