3 years ago

Simplify (4−b)(5b2+5b−4)

Mathematics

1 answer:

astraxan [27]3 years ago

4 0

Answer:15b^2-5b^3+24b-16

Step-by-step explanation:

(4-b)(5b^2+5b-4)

Open the brackets

20b^2+20b-16-5b^3-5b^2+4b

Collect like terms

20b^2-5b^2-5b^3+20b+4b-16

15b^2-5b^3+24b-16

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Step-by-step explanation:

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3 years ago

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NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

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$\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}$

$=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}$

To obtain the required form, extract a factor in both the numerator and denominator:

$\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)$

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3 years ago

SOMEONE PLEASE HELP ME WITH THIS QUESTION 2.5x - 3 = 2x - 2 <br>I don't get what x is equal to

Luda [366]

Answer:

Step-by-step explanation:

Use the property of equality :)

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3 years ago