Answer:
Step-by-step explanation:
The average rate of change of a function f between a and b (a< b) is :
R =[f(b)-f(a)] ÷ (a-b)
●●●●●●●●●●●●●●●●●●●●●●●●
Let R be the average rate of change of this function
f(6) = 2×6^2 - 7×6 = 72-42 = 30
f(2) = 2×2^2 - 7×2 = 8-14 = -6
R = [f(6) - f(2)]÷ (6-2)
R = [30-(-6)] ÷ 4
R = -36/4
R = -9
■■■■■■■■■■■■■■■■■■■■■■■■■
The average rate of change of this function is -9
Answer:
(b) 1:9
(c) 1:8
Step-by-step explanation:
(b) x*y : kx*ky, so 1:k² with k=3 is 1:9
(c) Assuming the rectangles get a z dimension, the volumes would have a ratio of xyz : xkykzk = xyz : xyzk³ = 1 : k³. With k=2 that is 1:8. But the z was never introduced so this is a bit inconclusive.
Answer:
x.
Step-by-step explanation:
h(f(x) = x.
For example the inverse of f(x) = 2x is g(x) = x/2
f((gx)) 2 (x/2)
= 2x / 2
= x.
Y=mx+b where m=-6, x=-2, and y=-3. Substituting these values in would result in -3=(-6)(-2)+b, which would simplify to -3=12+b, and further to b=-15. This would mean the y intercept is equal to -15, or (0,-15). To check, (-6)*(-2)-15 is in fact equal to -3, thus allowing easy identification of a graph, which will cross the y axis at -15 and decrease in y-value by 6 with every increase in x-value.
