Answer:
$90
Step-by-step explanation:
First the given is the listed price of DVD which is 120 dollars.
Now we need to find out what the price will be after discount of 25%
To do this we will have to convert the percentage to decimal by moving decimal 2 place left and removing percentage sign which will become 0.25.
Then we multiply by the listed price which is 120
so 120*0.25=30
so we subtract 30 by original price cause that is the discount off we are receiving
120-30=90
so 90 will be the sale price after 25% discount.
Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4 ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)² ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2 ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2 ⇒⇒⇒ the inverse of the given function
So, as a conclusion:
f(x) = y = x² + 4x + 4 ⇒⇒⇒ the given function
f⁻¹(x) = y = √x - 2 ⇒⇒⇒ the inverse of the given function
75 is 125% of 60. Hope this helps! :)
