we have to first convert fraction of hours into minutes
1 hour is equivalent to 60 minutes
then 3/4 hour is - 3/4 of 60
when the of function is used we have to multiply the 2 numbers
then 
3/4 of an hour is equivalent to 45 minutes
then we have to add 5 hours and 45 minutes to 11.32 pm
add 5.45 to 11.32
11.32
5.45 +
-------
16.77
then its 16 hours and 77 minutes
an hour has only 60 minutes so we subtract 60 minutes from 77 minutes and add that hour to 16 hours
16 hours + 1 = 17 hours
77 minutes - 60 minutes = 17 minutes
17 hours 17 minutes
time is given in pm therefore its a 12 hour clock
so we have to subtract 12 hours from 17 hours 17 minutes
17.17 hours - 12 hours = 5.17
the new time is 5.17 am of the next day
Solution
Step 1
f(-2) is the value of f(x) at which x = -2
Next
Trace x =-2 from the graph and get f(-2)
Jenna would need to fun 4 1/12 miles before the end of the day.
12-3 5/6= 8 1/6
8 1/6-4 1/12= 4 1/12
hope that helps!
(3a^4 – 2a^2 + 5a – 10) – (2a^4 + 4a^2 + 5a – 2)
= 3a^4 – 2a^2 + 5a – 10 – 2a^4 - 4a^2 - 5a + 2
= a^4 - 6a^2 - 8
Answer:
Boat speed 9.66 mph
Step-by-step explanation:
Boat speed x mph
current speed 4 mph
against current x- 4 mph
with current x+ 4 mph
Distance= 8 miles
Time against + time with =2 hours
t=d/r
8/(x+4) +8/(x-4)= 2
LCD =(x-4)(x+4)
8*(x-4) +8(x+4) =2(x^2-16)
8x-32+8x+32=2(x ^2-16)
16 x = 2 x ^2 -32
2 x ^2 - -16 x - 32 =0
divide by 2
x^2-8x-16=0
Find the roots of the equation by quadratic formula
a= 1 , b= -8 , c= -16
b^2-4ac= 64 + 64
b^2-4ac= 128
%09sqrt%28%09128%09%29=%0911.31%09
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=( 8 + 11.31 )/ 2
x1= 9.66
x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x2=( 8 -11.31 ) / 2
x2= -1.66
Ignore negative value
