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klio [65]
3 years ago
12

Find the sum of 5x^3-3x^2+5 and -2x^3+6x^2-5

Mathematics
1 answer:
Rasek [7]3 years ago
5 0

(5x^3-3x^2+5)+(-2x^3+6x^2-5)\\\\=(5x^3-2x^3)+(-3x^2+6x^2)+(5-5)\\\\=\boxed{3x^3+3x^2}

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Which expression is equivalent to
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For this case, we must find an expression equivalent to:

\frac {-9x ^ {- 1} y ^ {- 9}} {- 15x ^ 5y ^ {- 3}}

By definition of power properties we have:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Rewriting the previous expression we have:

The "-" are canceled and we take into account that:

\frac {9} {15} = \frac {3} {5}

So:

\frac {3} {5x^5 * x ^ 1 *y ^ 9* y ^ {- 3}} =

According to one of the properties of powers of the same base, we must put the same base and add the exponents:

\frac {3} {5x ^ {5 + 1} * y ^ {9-3}} =\\\frac {3} {5x ^ 6 * y ^ 6}

Answer:

\frac {3} {5x ^ 6 * y ^ 6}

Option B

3 0
3 years ago
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An arts academy requires there to be 5 teachers for every 95 students and 4 tutors for every 40 students how many students does
Whitepunk [10]

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19 students per teacher and 10 students per tutor

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5 0
2 years ago
GIVING BRAINLIEST FOR BEST ANSWER!
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Answer:

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Markiya deposited $500 in a savings account. The annual interest rate is 2%, and the interest is compounded monthly. Write a com
motikmotik
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Someone please help me on this question ?:)
katrin2010 [14]

Answer: The TV is 48 inches wide.

Step-by-step explanation: To find the solution to this equation we must use the Pythagorean theorem. The Py. Theo. is basically the formula :

a^2 + b^2 = c^2    You say this as "A squared plus b squared equals c squared"

To use this formula you must plug in the given values of a and b, to find c. A and b represent the two bases of the triangle, while c is the hypotenuse. In this equation we already have the value of c and a. We need to find b, but in order to do that we use a different formula. We use : c^2 - a^2 = b^2

See :

52^2 - 20^2 = b^2       *The ^2 means "to the power of" aka an exponent*

2704 - 400 = b^2     *When dealing with ^2, all you do is multiply the number by itself*

2304 = b^2      *Next, we find the square root of our current number.*

48 = b    

*Another way to solve this equation is to memorize all the Pythagorean Triples. With that knowledge, you wont even need to use the formula because you will already know all three values. I hope this helped you understand :)



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3 years ago
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