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Aleksandr [31]
3 years ago
6

HELP ASASP PLEASE!!!!!!! What is the following simplified product? Assume x>/0

Mathematics
2 answers:
luda_lava [24]3 years ago
6 0
Answer: Third option.
Please, see the detailed solution in the attache file.
Thanks

jeyben [28]3 years ago
3 0

Answer:

Option 3 is correct answer i.e., 3x\sqrt{6x}-x^4\sqrt{30x}+24x^2\sqrt{2}-8x^5\sqrt{10}

Step-by-step explanation:

Given: (\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5})

This Product is simplified using Polynomial Product of Binomial with Binomial.

Following are steps of Product:

(\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5})

⇒(x\sqrt{6}+4\sqrt{4.2.x^2.x})(3\sqrt{x}-x\sqrt{5.x^4.x)}

⇒(x\sqrt{6}+8x\sqrt{2x})(3\sqrt{x}-x^3\sqrt{5x)}

⇒ (x\sqrt{6})(3\sqrt{x})+(x\sqrt{6})(-x^3\sqrt{5x})+(8x\sqrt{2x})(3\sqrt{x})+(8x\sqrt{2x})(-x^3\sqrt{5x})

⇒x.3\sqrt{6.x}+(-x.x^3\sqrt{6.5.x})+3.8x\sqrt{2x.x}+(-8x.x^3\sqrt{2x.5x})

⇒x3\sqrt{6x}-x^4\sqrt{30x}+24x\sqrt{2.x^2}-8x^4\sqrt{10.x^2}

⇒x3\sqrt{6x}-x^4\sqrt{30x}+24x.x\sqrt{2}-8x^4.x\sqrt{10}

⇒3x\sqrt{6x}-x^4\sqrt{30x}+24x^2\sqrt{2}-8x^5\sqrt{10}

This Matches with Option 3.

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3 years ago
Find zeros and y intercept of each function algebraically f(x)=x^3-10x^2+24x
monitta

Answer:

The zeros are 0, 4, 6.

The y-intercept is 0.

Step-by-step explanation:

f(x) = x^3 - 10x^2 + 24x

x^3 - 10x^2 + 24x = 0

x(x^2 - 10x + 24) = 0

x(x - 4)(x - 6) = 0

x = 0 or x - 4 = 0 or x - 6 = 0

x = 0 or x = 4 or x = 6

y-intercept:

Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.

You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).

Let x = 0.

f(0) = 0^3 - 10(0^2) + 24(0)

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y-intercept: 0

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Select the best answer.
expeople1 [14]

Answer:

-sin x

Step-by-step explanation:

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2 years ago
Given two points A and B, there is only one segment that you can name: AB. With three collinear points A, B, and C, there are th
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Answer: 10

Imagine you have 2 slots or boxes that are empty. They represent the possible choices for the letter you pick. For example, you can place B in slot 1 and D in slot 2. There are 5 choices for slot 1 (A,B,C,D,E) and four choices for slot 2. Why 4? Because after we pick the letter for slot 1, we have one less letter to pick from. We can't reuse that letter.

Now multiply those values 5 and 4 to get 20. There are 20 different ways to pick a pair of letters from a pool of 5 total. However, order does NOT matter because the segment AB is the same as BA. Since order doesn't matter, we are doubly counting when we shouldn't. In other words, our count is two times higher than it should be. Instead of 20 pairs, it's actually 20/2 = 10 pairs. That's why the answer is 10.

The list of 10 segments are: {AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}

Side note: you can use the nCr combination formula with n = 5 and r = 2 to get the same answer.

4 0
3 years ago
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