Answer:
C = cost
m= months
C = $150 + $45m
Step-by-step explanation:
self explanatory
Answer:
16
Step-by-step explanation:
0.2 (y+2) = 0.2y + 0.2(2)
= 0.2y + 0.4
Answer:
x^3 - 5 x^2 + 2 x + 8 = 0
Step-by-step explanation:
Solve for x over the real numbers:
x^3 - 5 x^2 + 2 x + 8 = 0
The left hand side factors into a product with three terms:
(x - 4) (x - 2) (x + 1) = 0
Split into three equations:
x - 4 = 0 or x - 2 = 0 or x + 1 = 0
Add 4 to both sides:
x = 4 or x - 2 = 0 or x + 1 = 0
Add 2 to both sides:
x = 4 or x = 2 or x + 1 = 0
Subtract 1 from both sides:
Answer: x = 4 or x = 2 or x = -1
Part A:

The first step of completing the square is writing the expression

as

which expands to

.
We have the first two terms exactly the same with the function we start with:

and

but we need to add/subtract from the last term, 49, to obtain 41.
So the second step is to subtract -8 from the expression

The function in completing the square form is

Part B:
The vertex is obtained by equating the expression in the bracket from part A to zero


It means the curve has a turning point at x = -7
This vertex is a minimum since the function will make a U-shape.
A quadratic function

can either make U-shape or ∩-shape depends on the value of the constant

that goes with

. When

is (+), the curve is U-shape. When

(-), the curve is ∩-shape
Part C:
The symmetry line of the curve will pass through the vertex, hence the symmetry line is

This function is shown in the diagram below