Answer:
It took Peter 28 minutes and 10.82 seconds to finish the race.
Step-by-step explanation:
We have that:
: Antonio = 28 min + 11.00 s (1)
: Julio = A - 0.08 s (2)
: Pete = J - 0.1 s (3)
Then, the time at which Pete finished the race is:
(4)
By entering equations (1), (2), (3) into (4) we have:
Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.
I hope it helps you!
Answer: The slope is m = 1
Step-by-step explanation:
-To find the slope, you need the slope formula:
where you have 
and 
on the equation.
-Next, you put the two points to the equation:
-And then you solve the equation:
Answer:
- f^-1(x) = (3/8)(x +1) . . . . as written
- f^-1(x) = (x +5)/(3x -1) . . . with appropriate parentheses
Step-by-step explanation:
The inverse function can be found by solving for y:
x = f(y)
x = y + 5/3y -1 . . . . . . . . . . y +(5/3)y -1 . . . per order of operations
x+1 = 8/3y . . . . . . . . . . add 1
(3/8)(x +1) = y . . . . . . . . multiply by 3/8
f^-1(x) = (3/8)(x +1) . . . . . inverse of the function as written
_____
Perhaps you intend f(x) = (x+5)/(3x-1). The inverse is found the same way.
x = (y +5)/(3y -1)
x(3y -1) = y +5
3xy -x = y +5 . . . . . eliminate parentheses
3xy -y = x + 5 . . . . . add x-y
y(3x -1) = x +5 . . . . . factor out y
y = (x +5)/(3x -1) . . . divide by the coefficient of y
f^-1(x) = (x +5)/(3x -1) . . . . inverse of rational function
Answer:
Number of Favorable Outcomes over Total Number
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
18+6+4=28
