Answer:
x ≠ 4 or -2
Step-by-step explanation:
the denominator cannot be zero, so factor the bottom equation to get the zeros and those are the domain restrictions.
3x^2 - 6x - 24 ≠ 0
3(x^2 - 2x - 8) ≠ 0 (factor out a 3)
3(x - 4)(x + 2) ≠ 0 (factor equation)
x ≠ 4, x ≠ -2 (use zero product property to find zeros)
13.5 is your answer, here u are
Please provide the other fraction so we can give you the right number or at least a picture.
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
(1)
Here m = 6 and b = - 2, then
y = 6x - 2
(2)
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Here m = - 2 and b = 5, then
y = - 2x + 5 ← equation in slope- intercept form
Add 2x to both sides
2x + y = 5 ← equation in standard form
(3)
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (6, - 13) and (x₂, y₂ ) = (- 4, - 3)
m =
=
= - 1 , then
y = - x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (- 4, - 3 ) , then
- 3 = 4 + b ⇒ b = - 3 - 4 = - 7
y = - x - 7 ← equation in slope- intercept form
Add x to both sides
x + y = - 7 ← equation in standard form
Answer:
Your Answers are : a) D b) C