Answer:
i
Step-by-step explanation:
i = 
i^2 = -1
i^3 = -i
i^4 = 1
(Make sure you know your exponent rules)

The ratio of soda to fruit juice in the punch is 1 to 2/3
The statement that is true regarding the sides of a triangle is the last one because the top and bottom have to be identical to each other and the sides have to be identical to each other.
For this case, the first thing to do is to graph the following ordered pairs:
(-6, -1)
(-3, 2)
(-1,4)
(2,7)
We observe that the graph is a linear function with the following equation:
y = x + 5
Note: see attached image.
Answer:
The function that best represents the ordered pairs is:
y = x + 5
Answer:
a)
, b)
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:


The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:


According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:


The exact solution is
, indicating that graphic solution leads to a good approximation.