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Shtirlitz [24]
3 years ago
11

Simplify each expression

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

5x^4 + 15x^3 - 4x^2 + 7

Step-by-step explanation:

(7x^3 + 5x^4 + 3x^2) - (7x^2 - 7 -8x^3)

what we need to do is distribute the - sign in the middle of the parentheses into (7x^2 - 7 -8x^3)[/tex], this is very important to ensure we have the correct answer. by distributing we get the following equation:

7x^3 + 5x^4 + 3x^2 - 7x^2 + 7 + 8x^3

now we combine like terms to get our answer

5x^4 stays as it is, since there is nothing to combine it with

7x³ + 8x³ = 15x³

3x² - 7x² = -4x²

7 stays the same because like 5x^4, there is nothing else to combine it with

we have the following new equation:

5x^4 + 15x^3 - 4x^2 + 7

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Please help with a math problem. Please explain how you got the answer
Studentka2010 [4]

Answer:

Their sum is 140.   The measure of an exterior angle is supplementary to the respective interior angle.

Step-by-step explanation:

Since the angle are on a straight line, m2 and 140 sum to 180.

So m2=40. Because a triangle has 180 degrees, m1 and m3 must sum to 140.

The exterior angle is always on the same incline as the interior angle, so it is always supplementary to the interior angle.

7 0
3 years ago
PLEASE HURRY!! <br> simplify completely<br> show all work for full credit
Irina18 [472]

Answer:

4x^{3}

Step-by-step explanation:

<u>Given:</u>

(\frac{192x^{12}}{3x^{3}} )^{\frac{1}{3}}

<u>Apply exponent rule of distribution:</u>

\frac{(192x^{12})^{\frac{1}{3}}}{(3x^{3})^{\frac{1}{3}}}

<u>Simplify the numerator:</u>

\\\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{(3x^{3})^{\frac{1}{3}}}

<u>Simplify the denominator:</u>

\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{3^\frac{1}{3}x}}

<u>Simplify:</u>

4x^{3}

-> To explain this party since it is a bigger jump, 3^{\frac{1}{3}}x is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have x^{3} leftover too.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0
2 years ago
Please help! i literally suck at geometry
sdas [7]
Don’t say like that!Think you can and you will achieve! :) :)
8 0
2 years ago
-2 2/3 divided by 4/3
Vedmedyk [2.9K]

Answer:

-2

Step-by-step explanation:

Rule(s): a\frac{b}{c} = \frac{a \cdot c + b}{c}, \frac{-a}{b}=-\frac{a}{b}, \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \\2\frac{2}{3}=\frac{2\cdot 3+2}{3}\\=\frac{8}{3}\\=\frac{-\frac{8}{3}}{\frac{4}{3}}\\=-\frac{\frac{8}{3}}{\frac{4}{3}}\\=\frac{-8\cdot \:3}{3\cdot \:4}\\= \frac{-24}{12}\\= -2

8 0
1 year ago
Does the following table show a proportional relationship between the variables x and y? x 5/6 25/6 125/6 y 2 10 50
ki77a [65]

Answer: A:Yes

Step-by-step explanation:

This table shows a proportional relationship between the variables x and y.

3 0
3 years ago
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