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artcher [175]
4 years ago
11

A bicycle’s speedometer measures speed to the nearest 0.1 miles per hour. Which is the most appropriate way to report speed usin

g the bicycle’s speedometer?
A.) 17MPH
B.)17.1 MPH
C.) 17.15 MPH
D.) 20 MPH
Mathematics
2 answers:
dimulka [17.4K]4 years ago
8 0
The answer is B. 17.1 miles per hour
Sonja [21]4 years ago
8 0

Answer:

Option b) 17.1 mph

Step-by-step explanation:

Given that a bicycle’s speedometer measures speed to the nearest 0.1 miles per hour.

There are 4 options given and we have to select the option which is nearest to 0.1 miles per hour.

Option a) is incorrect because 17mph is rounded off to the nearest integer.

Option C) is incorrect because 17.15 mph is rounded off upto 0.01

Option d) is incorrect because 20mph is rounded off to the nearest integer.

Optionb) 17.1 mph here miles rounded off to 0.1 miles per hour. So this is correct option

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The partial fraction expansion takes the form

-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = <em>a</em>/(<em>x</em> + 2) + <em>b</em>/(<em>x</em> + 8)

Both factors in the denominator are linear, so the numerators in the corresponding partial fractions have degree 1 - 1 = 0 and are thus constants.

Combine the fractions on the right side into one with a common denominator, then set the numerators on both sides of the equation equal to each other:

-6<em>x</em> = <em>a</em> (<em>x</em> + 8) + <em>b</em> (<em>x</em> + 2)

Expand the right side and collect terms by powers of <em>x</em> :

-6<em>x</em> = (<em>a</em> + <em>b</em>) <em>x</em> + (8<em>a</em> + 2<em>b</em>)

It follows that

<em>a</em> + <em>b</em> = -6   and   8<em>a</em> + 2<em>b</em> = 0

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So we end up with

-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = -2/(<em>x</em> + 2) + 8/(<em>x</em> + 8)

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