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Marina86 [1]
4 years ago
9

Is my answer correct? if not please correct me

Mathematics
1 answer:
guapka [62]4 years ago
5 0

Answer:

Yes it is

Step-by-step explanation:


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What is the factorization of 729^15+1000?
igomit [66]

Answer:

The factorization of 729x^{15} +1000 is (9x^{5} +10)(81x^{10} -90x^{5} +100)

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form (a^{3} +b^{3} ) or (a^{3} -b^{3}). It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of 729x^{15} +1000 by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation 729x^{15} +1000, and the exponent of the letter x is divided by 3.

\sqrt[3]{729x^{15}} =9x^{5}

1000=10^{3} then \sqrt[3]{10^{3}} =10

So, we got that

729x^{15} +1000=(9x^{5})^{3} + (10)^{3} which has the form of (a^{3} +b^{3} ) which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})

with a= 9x^{5} y b=10

2.) Solving the sum of cubes.

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)

.

8 0
3 years ago
Put the following equation of a line into slope-intercept form simplifying all fractions .
Blababa [14]

Answer:

get y by itself and simplify

y=3/2x +7

8 0
3 years ago
Simplify.
natima [27]
Its 2y+7z hope dis helps
5 0
3 years ago
Read 2 more answers
​Together, teammates Pedro and Ricky got 2673 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each
ioda

Answer:

Pedro got 1520 base hits and Ricky got 1243.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of base hits that Pedro got.

y is the number of base hits that Ricky got.

Pedro and Ricky got 2673 base hits last season.

This means that x + y = 2763

Pedro had 277 more hits than Ricky.

This means that x = y + 277

Replacing in the first equation

x + y = 2763

y + 277 + y = 2763

2y = 2486

y = \frac{2486}{2}

y = 1243

x = y + 277 = 1243 + 277 = 1520

Pedro got 1520 base hits and Ricky got 1243.

4 0
3 years ago
Find the measurement of n please.
mezya [45]
I think it’s C if you still need an answer but don’t trust me on that
6 0
3 years ago
Read 2 more answers
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