what is the value of the expression 5x^2y / 5x - y when x = 4 and y = 2?
a) 8 / 1
b) 60 / 3
c) 80 / 9
d) 16 / 5
c
correct
thanks bobpursley
To evaluate the expression 5x^2y / (5x - y) when x = 4 and y = 2, we substitute the given values into the expression:
5(4)^2(2) / (5(4) - 2)
First, let's simplify the numerator:
5(4)^2(2) = 5(16)(2) = 160
Next, let's simplify the denominator:
5(4) - 2 = 20 - 2 = 18
Now, we can evaluate the expression:
160 / 18
To simplify the expression further, we can find the greatest common divisor (GCD) of 160 and 18, which is 2. We divide both the numerator and denominator by 2:
160 / 2 = 80
18 / 2 = 9
The simplified expression is:
80 / 9
Therefore, the value of the expression 5x^2y / (5x - y) when x = 4 and y = 2 is 80 / 9.
The correct answer is option c) 80 / 9.