Answer: independent variable: time (t). Dependent variable: distance (d).
Step-by-step explanation: an independent variable is a variable whose variation does not depend on that of another. In the given problem, the independent variable is time, because time will pass by no matter what (without depending in any other variable). The dependent variable in this case is the distance, because how far Jillian goes, depends on how much time she expends walking and jogging.
Answer:
4.8%
Step-by-step explanation:
The population that grows with an annual percentage rate compounded continuously is given by: H = H° e^rt
Let the population be represented by H
The population reaches 1.1 times its previous size in 2 years.
So when t=2,
H = 1.1 H°
We substitute to obtain:
1.1 H° = H° e^r2
1.1 = e^2r
Take natural log to get:
In 1.1 = 2r
r = In 1.1 /2
r = 0.0477
Therefore the annual percentage rate is 4.8%
8 = 2*2*2
9=3*3
We are finding the least common multiple
LCM = 2*2*2*3*3
LCM = 72
Sam and Carlos have each knocked down 72 pins
ANSWER
The correct option is,

EXPLANATION
We were given that the solutions of the quadratic equation are

and

This tells us that,

and

are factors of the quadratic equation.
This implies that the quadratic equation is of the form,

We were also told that

is a non zero constant.
This means that we can use k to multiply the whole equation and the solution will not be affected.
Our equation now becomes,

Hence the correct answer is A.