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3 years ago

The function f(x) = −16x2 + 112 models the height, in feet, of an

Mathematics

1 answer:

natima [27]3 years ago

3 0

For this, just plug in 1.5 into the x variable of this function and solve as such:

$f(1.5)=-16*1.5^2+112\\f(1.5)=-16*2.25+112\\f(1.5)=-36+112\\f(1.5)=76$

<u>The height of the object was at 76 ft.</u>

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Answer: In Exercises 21 and 22, describe and correct the error in writing a rule for the nth term of the arithmetic sequence 22, 9, −4, −17, −30, . . ..

3. 1, −1, −3, −5, −7, . . . 4.

5. 5, 8, 13, 20, 29, . . . 6.

7. 36, 18, 9, —9, —9, . . . 8. 24

9. —1, —3, 1, —5, —3, . . . 10. 24 42

12, 6, 0, −6, −12, . . .

3, 5, 9, 15, 23, . . .

81, 27, 9, 3, 1, . . .

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21.

22. ✗

11. WRITING EQUATIONS Write a rule for the arithmetic sequence with the given description.

a. The first term is −3 and each term is 6 less than the previous term.

b. The first term is 7 and each term is 5 more than the previous term.

12. WRITING Compare the terms of an arithmetic sequence when d > 0 to when d < 0.

In Exercises 13–20, write a rule for the nth term of the sequence. Then find a20. (See Example 2.)

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an =−13+(n−1)(22) an =−35+22n

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7, 12, 17, 22, . . .

27. a =−5,d=−—1

17 2 21 2

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29. USING EQUATIONS One term of an arithmetic sequence is a8 = −13. The common difference

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422 Chapter 8 Sequences and Series

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