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3 years ago

Factor this expression completely, then place the factors in the proper location on the grid. 5x3 + 40y6

2 answers:

6 0

For this case we have the following expression:
5x3 + 40y6
Common factor 5:
5 (x3 + 8y6)
Factoring the expression within the parenthesis we have:
5 ((x + 2y2) (x2 - 2xy2 + 4y4))
Answer:
The factored expression is given by:
5 ((x + 2y2) (x2 - 2xy2 + 4y4))

Daniel [21]3 years ago

3 0

Answer: The expression after completely factorised form is

$5[(x+2y^2)(x^2+4y^4-2xy^2)]$

Step-by-step explanation:

Since we have given that

$5x^3 + 40y^6$

We need to factorise it completely:

$5x^3 + 40y^6\\\\=5(x^3+8y^6)\\\\=5((x)^3+(2y^2)^3)\\\\=5[(x+2y^2)(x^2+4y^4-2xy^2)]\ (\because\ a^3+b^3=(a+b)(a^2+b^2-ab))$

Hence, the expression after completely factorised form is

$5[(x+2y^2)(x^2+4y^4-2xy^2)]$

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(Calculus help, 25 points, will give brainliest) Find the sum of the sigma notation below.

Andreyy89

$\displaystyle\sum_{i=3}^{10}(2i-9)=2\sum_{i=3}^{10}i-9\sum_{i=3}^{10}1$

Recall that

$\displaystyle\sum_{i=1}^n1=n$

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

Your sums start at $i=3$ , so in order to apply these formulas directly, you need to compensate for the missing first two terms:

$\displaystyle\sum_{i=3}^{10}1=\sum_{i=1}^{10}1-(1+1)=10-2=8$

$\displaystyle\sum_{i=3}^{10}i=\sum_{i=1}^{10}i-(1+2)=\frac{10\cdot11}2-3=52$

$\implies\displaystyle\sum_{i=3}^{10}(2i-9)=2\cdot52-9\cdot8=\boxed{32}$

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3 years ago

Triangle YES has sides YE=32cm and YS=42cm. Angle Y has a measure of 78 degrees. What is the measure of side SE?

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3 years ago

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Hello guys what is the answer to this problem?

vazorg [7]

The answer to this problem= 0

⇒6x + 2 + - 1 - 4x - 3 + - 2x + 2 = 0

⇒2 - 1 - 3 + 2 + 6x + -4x - 2x = 0

⇒1 - 3 + 2 + 6x + -4x - 2x = 0

⇒-2 + 2 + 6x + -4x + -2x = 0

⇒0 + 6x + -4x + -2x = 0

⇒6x - 4x - 2x = 0

⇒2x + -2x = 0

Combine like terms: 2x + -2x = 0

0 = 0

Solving

0 = 0

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This equation is an identity, all real numbers are solutions.

Problem-solving is the definition of the problem. Identify the cause of the problem. Identify, prioritize, and select alternative solutions. and solution implementation. problem-solving process. Troubleshooting resources.

The definition of a problem is something that needs to be resolved or an unpleasant or undesirable condition that needs to be corrected. An example problem is an algebraic equation. An example problem is when it's raining and you don't have an umbrella.

Learn more about the problem here: brainly.com/question/1781657

#SPJ1

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2 years ago

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Enter the number of complex zeros for the polynomial function in the box.

Finger [1]

Given polynomial function:

$f(x)=x^3-96x^2+400$ .

We need to apply Descartes' rule of sign to identify the number of complex roots.

The given polynomial is f(x)=x^3-96x^2+400

Let us see the number of sign changes in f(x)

There are 2 sign changes in f(x). One from plus to minus and second from plus to minus. Hence, there 2 or 0 positive roots.

Now, let us see the number of sign changes in f(-x)

f(-x)=-x^3-96x^2+400

There are only one sign change. Hence, there will be 1 negative roots.

The degree of the polynomial is 3.

Hence, there will be exactly 3 zeros.

<em>Therefore, the possible numbers of zeros are:</em>

<em>2 positive, 1 negative and 0 complex</em>

<em>0 positive, 1 negative and 2 complex.</em>

Let us see the graph:

In the graph, we can see that the graph cuts the x axis at three points (2 positive, 1 negative points).

<h3>Hence, the number of complex zeros for the given polynomial is zero.</h3>

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3 years ago