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Brums [2.3K]
4 years ago
9

What’s the least common multiple of x^2-2x-15 and x^2+2x-3?

Mathematics
1 answer:
Ghella [55]4 years ago
4 0

Answer:

\large\boxed{LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)}\\\boxed{=x^3-3x^2-13x+15}

Step-by-step explanation:

x^2-2x-15=x^2+3x-5x-15=x(x+3)-5(x+3)=(x+3)(x-5)\\\\\\x^2+2x-3=x^2+3x-1x-3=x(x+3)-1(x+3)=(x+3)(x-1)\\\\LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)\\\\=(x^2-2x-15)(x-1)\qquad\text{use FOIL}\\\\=(x^2)(x)+(x^2)(-1)+(-2x)(x)+(-2x)(-1)+(-15)(x)+(-15)(-1)\\\\=x^3-x^2-2x^2+2x-15x+15\qquad\text{combine like terms}\\\\=x^3+(-x^2-2x^2)+(2x-15x)+15\\\\=x^3-3x^2-13x+15

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Use the distributive property to write an equivalent variable expression. -5(5q - 4)
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Your answer would be:
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6 0
3 years ago
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Zolol [24]

To begin with, the amplitude of the sine curve, according to the graph, is 70 at the maximum. So far far what you know is

y = 70 sin(something)

Next a full sine wave occurs after 15 seconds approximately. That means after 15 second, you should get 2*pi. Call the values along the x axis = t

y = 70*sin(t/15 * 2*pi) That should be your full answer. Check it out. Where is the maximum? It is just under 4 seconds. It's an estimation. It's not easy to read, but call it 3.9

y = 70*sin(3.9/15 * 2pi) Multiply 2 * 3.9

y = 70* sin(7.8/15 * pi) Multiply 7.8 * pi: Use 3.14 for pi

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6 0
4 years ago
If the whole number multiples of 36 that are both more than 36 and less than 36 squared, how many are squares of whole numbers?
seraphim [82]

This is different than the usual questions we get.


We're given a set of some multiples of 36:


\{ 2\times 36, 3 \times 36, 4 \times 36, ..., 35 \times 36 \}


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36 is of course already a perfect square, so for the product to be a perfect square the other factor must be as well. So this is equivalent to:


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Just listing them, there's 2^2, 3^2, 4^2 \textrm{ and } 5^2


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Read 2 more answers
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Step-by-step explanation:

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