Answer:
The answer to your question is below
Step-by-step explanation:
a) Find to points of the line and find the equation of the line.
A ( 0, -4) B (2, 0)
slope = m =
m = 2
Line equation
(y - y1) = m (x - x1)
(y - 0) = 2(x - 2)
y = 2x - 4
Write the line as an inequality
y ≥ 2x - 4
b) Yes, (2,0) is a solution of the inequality
y ≥ 2x - 4
0 ≥ 2(2) -4
0 ≥ 4 - 4
0 ≥ 0 This is true
c) No, (4, -2) is not a solution.
y ≥ 2x - 4
-2 ≥ 2(4) - 4
-2 ≥ 8 - 4
-2 ≥ 4 This is false
The expression which is equivalent to the difference of the given algebraic fraction is,
Difference is the mathematical operation in which the one number is subtract from another number.
To find the difference of two fraction numbers, we find the least common factor of denominator and write the all numbers as one fraction.
The given expression in the problem is,
Factorize the denominator of each term as,
Here, the least common factor of the denominators is x(x-3)(x+3), therefore, the expression can be written as,
Hence, the expression which is equivalent to the difference of the given algebraic fraction is,
Learn more about the difference of two fractions here;