Answer:
1) Function h
interval [3, 5]
rate of change 6
2) Function f
interval [3, 6]
rate of change 8.33
3) Function g
interval [2, 3]
rate of change 9.6
Step-by-step explanation:
we know that
To find the average rate of change, we divide the change in the output value by the change in the input value
the average rate of change is equal to
step 1
Find the average rate of change of function h(x) over interval [3,5]
Looking at the third picture (table)
Substitute
step 2
Find the average rate of change of function f(x) over interval [3,6]
Looking at the graph
Substitute
step 3
Find the average rate of change of function g(x) over interval [2,3]
we have

Substitute
therefore
In order from least to greatest according to their average rates of change over those intervals
1) Function h
interval [3, 5]
rate of change 6
2) Function f
interval [3, 6]
rate of change 8.33
3) Function g
interval [2, 3]
rate of change 9.6
Hey there! :)
-6 < -2x < 14
We're trying to solve for x. To solve for x, we must isolate x.
So, let's divide everything by -2!
-6 ÷ -2 < -2x ÷ -2 < 14 ÷ -2
**Remember : when dividing by a negative number, you MUST switch the sign! So, if the sign is ">" then we switch it to "<" and the other way around **
3 > x > -7
So, our answer is : → 3 > x > -7
~Hope I helped!~
Discriminant = square root (b^2 -4*a*c)
square root (64 -4*1*12) =
square root (16) =
4
Therefore it has 2 rational soltions
5/6(x-1)=4
(x-1)=(4*6)/5
x-1=24/5
x=24/5 + 1
least common multiple=5
x=(24+1*5)/5
x=29/5
Answer: x=29/5
To check:
5/6(x-1)=5/6(29/5 -1)=5/6[(29-5)/5]=5/6(24/5)=(5*24)/(6*5)=120/30=4
D=20/3 or in decimal form d=6.666, it keeps going