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Finger [1]
2 years ago
15

Factor the expressions completely 135 28n to the power of 2 , m to the power of 2

Mathematics
1 answer:
lubasha [3.4K]2 years ago
5 0
1350 because totje secound power it would be thousands
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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
2 years ago
Solve -17 =<br> 7 / 3 for x.
inn [45]
Men i dont even know
3 0
2 years ago
HeLp pLzZzZzZzZzZzZzZzZzZ
Gnoma [55]

Answer:


Step-by-step explanation:

Problem One (left panel)

<em><u>Question A</u></em>

  • The y intercept happens when x = 0
  • That being said, the y intercept is 50. It was moving when the timing began.

<em><u>Question B</u></em>

The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2  miles / hour^2 (you have a slight acceleration.

<em><u>Question C</u></em>

  • 60 = a + (n-1)d
  • 60 =  50 + (n - 1)*2
  • 10/2 = (n - 1)*2/2
  • 5 = n - 1
  • 6 = n

The way I have done it the domain is n from 1 to 6

Question 2 (Right Panel)

<em><u>Question A</u></em>

The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.

  • f(0) = ax + b
  • -3 = a*0) + b
  • b = - 3
  • So far what you have is
  • f(x) = ax - 3
  • f(-1) = a*(-1) - 3           but we know (f(-1)) = -6
  • - 6 = a(-1) - 3             add 3 to both sides
  • -6 +3 = a(-1) -3 + 3
  • -3 = a*(-1)                  Divide by - 1
  • a = 3
  • f(x) = 3x - 3               Answer for f(x)
  • The slope of f(x) = the coefficient in front of the x
  • f(x) has a slope of 3
  • g(x) has a slope of 4

<em><u>Part B</u></em>

  • f(x) has a y intercept of - 3
  • g(x) has a y intercept of -5
  • f(x) has the greater y intercept.
  • -3 > - 5
7 0
3 years ago
Ronnie marks up items at his store by 45%. He buys kazoo's for $1.30. How much will he sell them for when he applies the mark up
wel

Answer:

A

Step-by-step explanation:

1.3 times.45+1.3

6 0
3 years ago
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