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SashulF [63]
3 years ago
11

How many like terms are in the expression?

Mathematics
2 answers:
grigory [225]3 years ago
7 0
The correct answer would be 3
artcher [175]3 years ago
6 0
‘Like terms’ means things with the same letters.

Your question is: 14x - 14y + 7 - x + z + 2x

As 14x, -x and 2x all have the same letter; they are like terms.

The answer would be 3, as there are only 3 like terms in your question.

I hope this made sense, if you need any more help or need me to explain further just ask! :)
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grin007 [14]
Base times height =65
3 0
3 years ago
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
Write the mixed number as a fraction. Write the fraction as a mixed number.
Alexxandr [17]

Answer:

8/3 is the fraction and 8 1/3 is the mix number

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Find the x- and y-intercepts for the linear equation.<br> – 3x + 5y = 15
Paladinen [302]

Answer:

x-intercept: (-5,0)

y-intercept: (0,3)

Step-by-step explanation:

y-intercept: when x = 0

-3(0) + 5y = 15

5y = 15

y = 3

x-intercept: when y = 0

-3x + 5(0) = 15

-3x = 15

x = -5

6 0
3 years ago
Read 2 more answers
How do you write 10 to the power of 3 in word form
AysviL [449]

Answer:

I believe that it would be 10^3. (10x10x10)

Sorry if I'm wrong I'm just a little confused with the question you asked :/

3 0
3 years ago
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