Answer:
<h2>The function f(x) = (x - 6)(x - 6) has only one x-intercept. But at (6, 0) not at (-6, 0).</h2>
Step-by-step explanation:
The intercept form of a quadratic equation (parabola):

p, q - x-intercepts
Therefore
The function f(x) = x(x - 6) = (x - 0)(x - 6) has two x-intercepts at (0, 0) and (6, 0)
The function f(x) = (x - 6)(x - 6) has only one x-intercept at (6, 0)
The function f(x) = (x + 6)(x - 6) = (x - (-6))(x - 6)
has two x-intercept at (-6, 0) and (6, 0)
The function f(x) = (x + 1)(x + 6) = (x - (-1))(x - (-6))
has two x-intercepts at (-1, 0) and (-6, 0).
Answer:
-11
Step-by-step explanation:
adding two negative integers makes the answers negative too. when adding 2 negative integers, add them like normal addition and then put the negative sign.
Answer:
1. Area of rectangular rug is 
2. Area of triangular room is 
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, rectangle and triangle.
step one
let us start by solving for the area of the rectangular rug
given data
Area A = ?
Length l = 11 ft
Width w= 10 ft
we know that the area of a rectangle is expressed as

substituting our given data we have

step two
let us solve for the area of the triangular room
given data
Area A = ?
base b = 30 ft
height h= 22 ft
we know that the area of a triangle is expressed as

substituting our given data we have

Answer:
see explanation
Step-by-step explanation:
note that f ○ g = f(g(x))
To evaluate substitute x = x³ into f(x)
f(g(x)) = f(x³) = 5x³ - 8
In the same way
g ○ f = g(f(x))
To evaluate substitute x = 5x - 8 into g(x)
g(f(x)) = g(5x - 8) = (5x - 8)³