There were 48 runners to start a race. In the first half of the race, 2/3 of them dropped out. In the second half of the race,1/4 of the remaining runners dropped
out. How many runnrs finished the race?

12

Step-by-step explanation:

48 times 2/3 gives you the amount of runners that dropped out in the first half of the race. take that number (32), and subtract it from the original. You should be left with 16. Then take 1/4 of the remaining runners (16 times 1/4, which is 4), and subtract it from 16. this gives you 12

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: