Answer:
The equation represents an even function
Step-by-step explanation:
For the function above, the value of f(x) is fixed at 3 for positive or negative values of x.
For the absolute value function below, the value of f(x) will always be positive due to the absolute symbol.
In general, a function f(x) is said to be even if;
f(-x) = f(x) such that the function is symmetrical with respect to the y-axis.
Answer -5, -2, 1, 3
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2+ ( 2x+2)^2 = (2x+3)^2
FOIL the squared terms
x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9
Combine like terms
5x^2+8x +4 = 4x^2 +12x +9
Subtract 4x^2 +12x +9 from each side
5x^2+8x +4 -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9
x^2 -4x -5 =0
Factor
(x-5) (x+1) = 0
Using the zero product property
x=5 x=-1
But x cannot be negative or we would have negative length
x=5
Answer:
f(x) = 3x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)
m =
= 3 , then
y = 3x ← is the equation of the graphed line
Answer:
41 139/1000
Step-by-step explanation:
41.139
41 139/1000