Answer:
c = 4
Step-by-step explanation:
In a perfect square trinomial, the following relationship is true:

In order for the given expression to be a perfect square trinomial:

Solving for 'c':

Therefore, c must be equal to 4.
Answer:
The interest rate was of 0.1173 = 11.73%.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:

In this problem, we have that:

So



So



The interest rate was of 0.1173 = 11.73%.
3x - 1 = 5x - 11
Add 1 to both sides.
3x = 5x - 10
Subtract 5x from both sides.
-2x = -10
Divide by -2.
x = 5
Answer:
No, because the x value of 1 correlates to two different y values.
Step-by-step explanation:
A function is defined by an x value having exactly one corresponding y value. In this case, the x value of 1 corresponds to both the y values of 2 and 8, therefore invalidating it as a function.
Hope this helps!