The average rate of change of on the interval [a,b] is:
f(b)−f(a)/ b-a
or
y1-y2/x1-x2 which is how I learned it, average ratw of change is just slope
so you would plug your numbers into x
1st the b: 6((1))^2+31((1))-12
=6+31-12 1^2=1, so it cancels
f(b) =25
2nd the a: 6((-2))^2+31((-2))-12
=6(4)+31(-2)-12
=24+-62-12
f(a) =-50
3rd plug them in: (25- -50)÷(1-(-2)
=75÷3
=25
so your average rate of change(or slope) is 25 :)
Answer:
Answer in the pic with steps
Hope it helps
y = x + 3
as x increases by 1, y increases by 1 (Slope)
when x equals 0, y equals 3 (y-intercept)
Answer:
Width=2.2 FT
Length=4.4 FT
Heigh= 4 FT
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The augmented matrix for the system of three equaitons is

Multiply the first row by 5, the second row by -3 and add these two rows:

Subtract the third row from the second:

Divide the third row by 6:

Now multiply the third equation by 26 and add it to the second row:

You get the system of three equations:

From the third equation

Substitute z=2 into the second equation:

Now substitute z=2 and y=5 into the first equation:

The solution is (1,5,2)