The average rate of change of a function f(x) over an interval (a, b) is given by
Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
5(2y-4) - 3y = 1. 10y-20-3y=1. 7y-20=1. 7y=21. y =3. x = 2(3)-4. x = 2. x*y =6.
Wih roots r1 and r2
the factors are (x-r1)(x-r2)
roots 4 and -8
(x-4)(x-(-8))
(x-4)(x+8)
x^2+4x-32 is the equation
either (x-4)(x+8) or x^2+4x-32
Answer:
1.
1/10 chance
2.
2/10 chance
3.
2/10 chance
4.
0/12 chance or maybe 0/10
Step-by-step explanation:
1.1/5 chance for the number and 1/2 chance for the heads/tails so
2.2/5 chance of getting it to land on an even number + 1/2 for heads
3..2/5 chance of getting it to land on an even number and 1/2 for tails
4.you cant land a 6
D=vt
So they will travel downstream and upstream the same distance. Downstream they will travel:
d=(2+18)t1
Upstream they will travel:
u=(18-2)t2
Since d=u we can say:
20t1=16t2
We are told the trip lasts 3 hours so t1+t2=3, t2=3-t1, using this in the equation above we have:
20t1=16(3-t1)
20t1=48-16t1
36t1=48
t1=4/3 hours, and from earlier we saw that d=20t1 so:
d=20*4/3
d=80/3 miles
d=26 2/3 miles.
