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3 years ago

Can the expression be factored furthered? show your work.(x2 + 4) (x2 -4)

Mathematics

2 answers:

lukranit [14]3 years ago

8 0

$(x^2 + 4) (x^2 -4) =\\
(x^2+4)(x-2)(x+2)$

torisob [31]3 years ago

5 0

Yes.The second factor is the difference of 2 squares,
so the second factor alone becomes

(x² - 4) = (x + 2) (x - 2)

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2 years ago

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

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Answer:

1. $\frac{dy}{dt}=ky$

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Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

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$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

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Substitute the values then , we get

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Substitute the value of C then we get

$ln y=kt+ln 200$

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$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

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Substitute t=2

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3 years ago

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