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notsponge [240]
4 years ago
14

Regular exercise can help a person lower their resting heart rate. Suppose an individual’s resting heart rate, in beats per minu

te, is modeled by the function f(x) = –0.1x 3 + 0.6x 2 + 85 after x weeks of regular exercise.
How many weeks of exercise are necessary to lower the individual’s resting heart rate below 70 beats per minute?

7 weeks
8 weeks
9 weeks
10 weeks
Mathematics
2 answers:
netineya [11]4 years ago
8 0

Answer: 9 weeks

Step-by-step explanation:

-0.1³ + 0.6x² + 85 = 70

x ≈ 8.21998224

The answer is 9 weeks because you must round 8.22 up to 9. The reason you round up to 9 is because must include the numbers after the decimal in a week, but you cannot have 0.22 weeks, so 0.22 rounds up to 1.

sveta [45]4 years ago
5 0

Answer:

9

Step-by-step explanation:

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<em><u>Question:</u></em>

Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.

The complete figure of this question is attached below

<em><u>Answer:</u></em>

<h3>The perimeter of the quadrilateral is 129 inches</h3>

<em><u>Solution:</u></em>

The complete figure of this question is attached below

Given that, a quadrilateral with,

Side lengths are:

4x^2 + 8x\ inches \\\\3x^2-5x+20\ inches \\\\7x + 30\ inches \\\\31\ inches

The values of the side lengths when x = 2 are

(4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch

Perimeter of a quadrilateral = Sum of its sides

Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches

Thus perimeter of the quadrilateral is 129 inches

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3 years ago
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Step-by-step explanation:

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