the Distributive Property uses two operations: multiplication and addition. It is an essential key to success in algebra. The Distributive Property allows you to "distribute" a number to each of the addends within parentheses. It offers another way of solving a problem.
Answer:
The data we have is:
The acceleration is 3.2 m/s^2 for 14 seconds
Initial velocity = 5.1 m/s
initial position = 0m
Then:
A(t) = 3.2m/s^2
To have the velocity, we integrate over time, and the constant of integration will be equal to the initial velocity.
V(t) = (3.2m/s^2)*t + 5.1 m/s
To have the position equation, we integrate again over time, and now the constant of integration will be the initial position (that is zero)
P(t) = (1/2)*(3.2 m/s^2)*t^2 + 5.1m/s*t
Now, the final position refers to the position when the car stops accelerating, this is at t = 14s.
P(14s) = (1/2)*(3.2 m/s^2)*(14s)^2 + 5.1m/s*14s = 385m
So the final position is 385 meters ahead the initial position.
For this case we must find

By definition we have to:

We have the following functions:

Now, applying the given definition, we have:

Answer:

When b=0
f(x)=ax^2+c
test each
A. with x^2-1, A is false
B. with -x^2-1, B is false
C. cannot find contradiction
D. the axis is actually x=0, 0 is nithere positive nor negative, false
answer is C
3:5
1:1
1.5 or 1:5 not sure