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3 years ago

Which graph represents a function?

Mathematics

1 answer:

enyata [817]3 years ago

3 0

Answer:

D, the horizontal line is a function

Step-by-step explanation:

To pass the vertical line test, a vertical line cannot go through the function more than once

A is a vertical line so it will fail the vertical line test

B will fail the vertical line test at many points. One example is at

x =0 where you can see it will intersect at two points

C will fail the vertical line test at many points. One example is at

x =0 where you can see it will intersect at two points

D is a horizontal line. This will pass the vertical line test

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I can read a 336-page book in 6 hours. Jayne can read a 144-page book in 3 hours. If I start reading a 5000-page book at noon an

dimulka [17.4K]

Answer:

12:00 am midnight

Step-by-step explanation:

Given;

I can read a 336-page book in 6 hours.

My rate r1 = 336/6 pages per hour = 56 pages per hour

Jayne can read a 144-page book in 3 hours.

Jayne rate r2 = 144/3 = 48 pages per hour

If I start reading a 5000-page book at noon and Jayne starts reading the same book at 10 AM

Taking 10 am as the reference time.

Let x represent the time from 10 am at which they would both be on the same page.

For me;

Since i started by noon; 2 hours after 10 am

Time t1 = x-2

For Jayne;

She started by 10 am

Time t2 = x

For them to be on the same page they must have read the same number of pages;

Number of pages read = rate × time

r1(t1) = r2(t2)

Substituting the values;

56(x-2) = 48(x)

56x - 112 = 48x

x(56-48) = 112

x = 112/(56-48)

x = 14 hours

Since 10 am is the reference, the time would be;

=10 am + x = 10 am + 14 hours

= 24:00

= 12:00 am midnight

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3 years ago