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koban [17]
4 years ago
7

Which number is not in scientific notation? A. 11 times 10 to the 21st power? B. 5.7 times 10 to the 9th power? C. 3.1 times 10

to the -12th power? Or D. 1.67 times 10 to the -5th power?
Mathematics
1 answer:
Vedmedyk [2.9K]4 years ago
7 0
A. it is not in scientific notation because the number in the ones place has to be greater than 0 but less than 9. So 11 is more than 9 so A is not in scientific notation.
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Which statements are correct about the average rate of change for the function f(x) = x2 + 9x + 18 ?
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Answer:

Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.

A few things can however be said about this function:

1) It describes a parabola that extends upward infinitely.  We can see this because it's in the classic format ax² + bx + c, and all terms are positive.

2) We can find the x-intercepts by solving for zero.  In this case we can do that by factoring it:

x² + 9x + 18 = 0

x² + 3x + 6x + 18 = 0

x(x + 3) + 6(x + 3) = 0

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So the x intercepts occur at (-6, 0) and (-3, 0)

3) we can find its vertex by taking its derivative and solving for zero:

f'(x) = 2x + 9

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x = -4.5

We can then plug that coordinate into the original function to find the y coordinate:

f(x) = x² + 9x + 18

f(-4.5) = 20.25 - 40.5 + 18

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So the vertex is at (-4.5, -2.25)

4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9.  The integral is:

x³ / 3 + 9x² / 2 + 18x + C

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a store sells 1/3 pound of asparagus for $.75. You need to buy 5 pounds How much will u pay? Draw a modell or explain step by st
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