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alexandr402 [8]
3 years ago
6

Determine if the expression 9y5 – 10y3 is a polynomial or not. If it is a polynomial,

Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0

I am going to assume that the equation was supposed to be  9y^{5}-10y^{3}

Answer:

It is a polynomial. It is a binomial and it has a degree of 5.

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so 9y^{5}-10y^{3} will be considered a polynomial.

A binomial is a polynomial with 2 terms.

The degree of a polynomial is the highest exponent in it which in this equation is 5.

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What is the answer to a triangle translation where A is (1,4), B is (2,-2) and C is (-3,2) What is the Answer to A
Zielflug [23.3K]

Question:

A translation is applied to the triangle where A(1, 4) , B(2, -2) , and C(-3, 2). The image is the triangle that has vertices ​ A′(5, 4) ​, ​ B′(6, -2) ​​, and C′(1, 2)​.

Answer:

(x,y) ==> (x + 4,y)

Step-by-step explanation:

Given

A = (1,4)\\B = (2,-2)\\C = (-3,2)

A' = (5,4)\\B' = (6,-2)\\C' = (1,2)

From the translation of triangle ABC to A'B'C',

It will be observed that the y coordinates of both triangle remain unchanged.

This implies that triangle ABC is translated on the x coordinates alone.

Considering the x coordinates of A and A', we have:

1 + k = 5

Make k the subject

k = 5 - 1

k = 4

When 4 is added to the x coordinates of B and C, it gives the x coordinates of B' and C'.

Hence, the rule of translation is:

(x,y) ==> (x + 4,y)

3 0
3 years ago
Is there a general rule to convert a function to a power series? Examples would be greatly appreciated:)
Maslowich

Step-by-step explanation:

Use the Maclaurin expansion:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!

For example, for f(x) = eˣ:

f(x) = ∑ₙ₌₀°° e⁰ xⁿ / n!

f(x) = ∑ₙ₌₀°° xⁿ / n!

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Answer:

<em>c</em><em>.</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>a</em><em>m</em><em>o</em><em>u</em><em>n</em><em>t</em><em> </em><em>o</em><em>f</em><em> </em><em>w</em><em>r</em><em>i</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>s</em><em>p</em><em>a</em><em>c</em><em>e</em><em> </em><em>o</em><em>n</em><em> </em><em>a</em><em> </em><em>p</em><em>a</em><em>g</em><em>e</em><em>.</em>

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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