Juan bought a basketball for 40% off. if he paid $36 for the basketball, what was the original price?
$65
$24
$56
$60
Let x be the original price of the basketball.
The discount is 40% off, so the amount Juan paid is (100% - 40%) * x = 60% * x.
Since Juan paid $36, we can write the equation:
60% * x = $36
Solving for x:
0.60x = $36
x = $36 / 0.60
x = $60
Therefore, the original price of the basketball was $60.
Answer: $60
what is the domain of the function?
f (x) = x+6/(x - 7) (x +5)
To find the domain of the function f(x) = (x+6) / ((x - 7)(x + 5)), we need to identify any values of x that would make the denominator equal to zero, because division by zero is undefined.
The function is not defined when the denominator (x - 7)(x + 5) is equal to zero.
Setting each factor to zero separately:
x - 7 = 0 -> x = 7
x + 5 = 0 -> x = -5
Since x cannot be equal to 7 or -5, the domain of the function f(x) = (x+6) / ((x - 7)(x + 5)) is all real numbers except x = 7 and x = -5.
Therefore, the domain is: (-∞, -5) U (-5, 7) U (7, ∞)