Answer:
f(4)=-3
Step-by-step explanation:
f(1)=2
f(n)=f(n-1)^2-n
If n=2
f(2)=f(2-1)^2-2
f(2)=f(1)^2-2
f(2)=2^2-2
f(2)=4-2
f(2)=2
If n=3
f(3)=f(3-1)^2 - 3
f(3)=f(2)^2 - 3
f(3)=2^2-3
f(3)=4-3
f(3)=1
if n=4
f(4)=f(4-1)^2 - 4
f(4)=f(3)^2 - 4
f(4)=1^2 - 4
f(4)=1-4
f(4)=-3
Answer:
Velocity = 59 feet/second
Step-by-step explanation:
h(t) = 15 + 60t – 16t2
Time t = 1 second
Let's substitute time into the equation to get the distance
h(t) = 15+60(1)-16(1)²
h(t) = 15 + 60 - 16
h(t) = 59 feet
Speed or velocity = distance/time
Distance = 59 feet
Time = 1 second
Velocity = 59/1
Velocity = 59 feet/s
Answer:
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Step-by-step explanation:
Answer:
Linear function with rate of change/growth = 2.5, which agrees with the fourth statement listed in the answers options.
Step-by-step explanation:
Notice that both columns of reported x and y values are increasing.
Then examine how the given x-values increase:
-2, 2, 6, 10, 14 (in steps of 4 units)
and how their corresponding y-values increase:
-2, 8, 18, 28, 38 (in steps of 10 units)
therefore, if we do the rate of change for any pair and , we get the following constant rate of change:
Given that this relationship is valid for any pair of (x,y) values. we conclude that the rate of increase is constant, and therefore we are in the presence of a linear function, whose rate of change is 2.5
Yes it’s a rational number