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4 years ago

when the expression: 4x^4 + 24x^3 + 12x^3 + 8x is factored completely, what is the largest factor that can be factored out?

Mathematics

2 answers:

Juliette [100K]4 years ago

6 0

D. 4x

they all have at least one x, and 4 goes into all of the numbers at least once

Fofino [41]4 years ago

5 0

Let's start by grouping like terms so we can factor out the most
(4x^4+24x^3)+(12x^2+8x)
now let's factor out as much as possible. we see all coefficients are multiples of 4, we will also factor out as high a degree of x as we can
4x^3(x+6)+4x(3x+2)
now we see that we still have a common multiple of 4x that we can remove
4x(x^2(x+6)+(3x+2))
so we find 4x is the largest value we can factor out

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Complete the steps to simplify (y^4/3•y^2/3)^-1/2. Apply the product of powers property to the expression inside the parentheses

MrRissso [65]

Option A

$\left(y^{\frac{4}{3}} \cdot y^{\frac{2}{3}}\right)^{\frac{-1}{2}} = \left(y^{2}\right)^{\frac{-1}{2}}$

Solution:

Given expression is:

$\left(y^{\frac{4}{3}} \cdot y^{\frac{2}{3}}\right)^{\frac{-1}{2}}$

Product of powers property:

The product of powers property tells us that when you multiply powers with the same base you just have to add the exponents

Which is represented as,

$a^m.a^n = a^{m+n}$

Therefore, the given expression becomes,

$\left(y^{\frac{4}{3}+\frac{2}{3}}\right)^{\frac{-1}{2}}$

Now add the exponents, we get

$\left(y^{\frac{4+2}{3}}\right)^{\frac{-1}{2}}$

Simplify the above expression

$\left(y^{\frac{6}{3}}\right)^{\frac{-1}{2}}$

Simplify the exponent of y, we get

$\left(y^{2}\right)^{\frac{-1}{2}}$

Thus Option A is correct

6 0

3 years ago

Read 2 more answers

What is the coefficent of 3/4 y

Alexxx [7]

Answer:

Step-by-step explanation:

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2 years ago

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is

NemiM [27]

Answer:

The probability that the next spin will land on blue is 0.12.

Step-by-step explanation:

The result of the several spins are as follows:

Color Frequency

Red 18

Blue 9

Green 18

Yellow 19

Purple 12

TOTAL 76

Compute the probability that the next spin will land on blue as follows:

$P(Blue)=\frac{n(Blue)}{N}\\\\=\frac{9}{76}\\\\=0.1184211\\\\\approx 0.12$

Thus, the probability that the next spin will land on blue is 0.12.

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3 years ago

Find the distance between the points. Round to two decimal places if necessary.

miv72 [106K]

Answer:

8.06

Step-by-step explanation:

So for this one we are just going to take the two points (0,0) and (8,1), and plug them into the formula for distance which is d= $\sqrt{(x_{2} -x_{1})^{2} +(y_{2}-y_{1})^{2}$