Answer:

Step-by-step explanation:
The function is given.

To find : 
The input for the function f(x) is (a + 1).
Replace x with (a + 1).

Expand brackets.

Simplifying.

Answer:
12 feet
Step-by-step explanation:
30 divided by 5= 6
6 times 3= how far youve already swam(18 feet)
6 times 2= how far you have left(12 feet)
Answer:
length: 6 inches
width: 7 inches
Step-by-step explanation:
Let n represent the number. Then the length is (n+2) and the width is (2n-1). The product of these dimensions is the area:
42 = (n+2)(2n -1) = 2n^2 +3n -2
2n^2 +3n -44 = 0 . . . . subtract 42
(n -4)(2n +11) = 0 . . . . . factor
n = 4 . . . . . . . . we aren't interested in the negative solution
Length = 4+2 = 6 . . . inches
Width = 2·4 -1 = 7 . . . inches
Answer: It is quadratic.
Step-by-step explanation:
1. You have the following function:

2. To determine if it is linear or quadratic, you can apply the Distributive property of multiplication, as you can see below:

3. The function has the form of a quadratic function:

4. Therefore, it is a quadratic function.