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3 years ago

13

What is the GCF of

dle" class="latex-formula">, - $10x^{7}$ , $2x^{8}$ ?? please help

1 answer:

jolli1 [7]3 years ago

5 0

Answer:

$2x^6$

Step-by-step explanation:

First, we find the greatest common factor 50, 10 and 2.

It is 2.

Then, we find the greatest common factor of $x^{6},x^{7}$ and $x^{8}$ which is $x^{6}$ .

Thus, the greatest common factor is $2x^6$

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I need a little help! Can someone check my work? It's a written response with linear systems.

andreyandreev [35.5K]

Answer:

I'd say you need to be more specific.

Step-by-step explanation:

"Different" doesn't tell you much.

Consider the equations ...

y = 2x + 1
4x - 2y = -2

These equations are "different", but they are <em>dependent</em>.

_____

I'd mentally (or actually) put the equations in the same form and compare the coefficients of x and y. If they have different ratios, the system is independent and consistent.

If they have the same ratio, the system will not have a single solution. Whether there is no solution or an infinite number of solutions depends on the constant, which I would examine next.

The system above can be put in the form

2x -y = -1
4x -2y = -2

In both cases, the ratio of the x coefficient to the y coefficient is 2/-1 = 4/-2 = -2. This means the lines are at least parallel, if not identical. The numbers in the second equation are all 2 times the numbers in the first equation, so the equations are <em>dependent</em>, and there are an infinite number of solutions. (Both describe the same line.)

If the second equation were 4x -2y = 1, then the two equations would be describing parallel lines, so they would be called <em>inconsistent</em>.

5 0

3 years ago

I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fil

RSB [31]

Answer:

$72\pi\ in^{3}$

Step-by-step explanation:

step 1

<em>Calculate the volume of the cylinder (flower vase)</em>

The volume is equal to

$V=\pi r^{2}h$

we have

$r=6/2=3\ in$ -----> the radius is half the diameter

$h=12\ in$

substitute the values

$V=\pi (3)^{2}(12)=108\pi\ in^{3}$ ------> exact value

step 2

Calculate 2/3 of the volume

$V=(2/3)108\pi=72\pi\ in^{3}$

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3 years ago

Katie and becca each bought a new book for $50 . Katie sold her book to the bookstore for 25% less than the original price. . Be

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3 years ago

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A psychologist is interested in constructing a 95% confidence interval for the proportion of people who accept the theory that a

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Aja the same thing in the world and is

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2 years ago

What is the correct reason for statement 2? Prove: 10(w + 6) + 4 = 10w + 64 Statements Reasons 1. 10(w + 6) + 4 1. Given 2. (10w

ira [324]

Answer is <span>A. Distributive Property
---------------------------------------------------
</span><span>Reasons 1. 10(w + 6) + 4
</span>Given 2. (10w + 60) + 4 ...this is expand the Distributive Property<span>

</span>hope that helps

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3 years ago