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alekssr [168]
2 years ago
10

Which equation describes how the parent function, y = x3, is vertically stretched by a factor of 4?

Mathematics
1 answer:
wlad13 [49]2 years ago
8 0

Answer: y=4x^3

Step-by-step explanation:

See attached image.

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Need help ASAP! Show work if you can, it’s fine if not tho!
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Answer:

Step-by-step explanation:

(2(6) - 3(10)^2)/(|6 - 10)|

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Evaluate y = 2x + 1 when x= -1
Stolb23 [73]
Y = 2x + 1
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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
Katie uses 2/3 of a cup of ice cream for each ice cream sundae that she makes.for a party she makes 5 sundaes. write a multiplic
Blababa [14]
2/3 x 5/1 equals 10/3 
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TRUE or FALSE. In a randomly generated list of numbers from 0 to 5, the chance that each number can occur is 1/5 .
mel-nik [20]
Thank you for posting your question here at brainly. Feel free to ask more questions.  

<span>The best and most correct answer among the choices provided by the question is FALSE.</span><span>       
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