Answer:
0<x<1
Step-by-step explanation:
(x+3)(x−4)<−12
FOIL
x^2 -4x+3x -12 <-12
x^2 -x -12 <-12
Add 12 to each side
x^2 -x -12+12 <-12+12
x^2 -x <0
Factor out an x
x(x-1) <0
Using the zero product property
x(x-1) =0
x=0 x-1=0
x=0 x=1
Check the ranges
x<0
x(x-1) <0
- * - >0
False
0<x<1
x(x-1) <0
+ * - <0
True
x>1
x(x-1) <0
+ * + >0
False
Answer:
The midpoint of A and B is (0, 4).
Step-by-step explanation:
Use the midpoint formula, ((x₁ + x₂)/2 , (y₁ + y₂)/2)
First, solve for the x part.
(2 + (-2))/2
0/2
0
So the x-coordinate of the midpoint is 0.
Then, solve for the y part.
(3 + 5)/2
8/2
4
So the y-coordinate of the midpoint is 4.
Answer:
Domain: 3, 2, 1, 0, -1 , -2 , -3
Range: 5 , 4 , 3 , 2 , 1 , 0 , -1 , -2
Step-by-step explanation:
The domain values are all of the x-values, and the range value are all of the y-values. Domain ad range can also be know as input and output.
