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4 years ago

8

Simplify. –abc + 7abc – 3bc – 8abc ------------- abc − ------------bc

1 answer:

NISA [10]4 years ago

7 0

- abc + 7abc - 3bc - 8abc
= 6abc - 3bc - 8bc
= -2abs - 3bc

Therefore
- 2abc - 3bc.

:)

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3 years ago

50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

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So, we are given that the quadratic curve of the trend is the function:

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To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

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$P'(t)=6.10(2t)-9.28(1)$

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$P'(t)=12.20t-9.28$

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This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

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