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olasank [31]
3 years ago
14

A box has a volume given by the trinomial x3 + 7x2 - 18x. What are the possible dimensions of the box? Use factoring.

Mathematics
1 answer:
fomenos3 years ago
5 0
X^3+7x^2-18x

x(x^2+7x-18)

x(x+9)(x-2)

However note that this is not a normal factoring problem as dimensions must be greater than zero, so x>2

Since we were not given a specific volume there are infinite solutions provided x>2
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Step-by-step explanation:

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Simplify the following leave the answer in radical notation:
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1- 5xy³√5y

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7 0
3 years ago
A two digit number is to be formed from the digits 0,1,2,3,4 Repetition of the is allowed. find the probability that the number
ra1l [238]
<h2>Answer:</h2>

<u>Sample space</u> = {10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44}

∴ n(S) = 20 .

[i] <u>Let A be the event that the number so formed is a prime number</u>.

∴ A = {11,13,23,31,41,43}

∴ n(A) = 6

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[ii] <u>Let B be the event that the number so formed is a multiple of 4</u>.

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∴ n(B) = 6

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[iii] <u>Let C be the event that the number so formed is a multiple of 11</u>.

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7 0
3 years ago
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