Answer: The required discount is $819 and the rate of discount is 20.48%.
Step-by-step explanation: Given that a home theater system is marked down from $3999 to $3180.
We are to find the discount and the rate of discount.
The discount will be given by actual price minus the marked price.
We have
Actual price = $ 3999 and marked price = $3180.
So, the discount is given by

And the rate of discount is

Thus, the required discount is $819 and the rate of discount is 20.48%.
1. 4 meters per second
2. D
3. the error is between lines 3 and 4
Answer: 2.3
Step-by-step explanation:
If the discriminant is negative no real solution exists.
If the discriminant is equal to 0 only one real solution exists.
If the discriminant is positive 2 real solutions exist.
The discriminant:
D = b² - 4 a c
1 ) - 7 x² + 6 x + 3 = 0
D = 6² - 4 · ( - 7 ) · 3 = 36 + 84 = 120 > 0
Answer: b) two solutions
2 ) - 8 x² - 8 x - 2 = 0
D = ( - 8 )² - 4 · ( - 8 ) · ( - 2 ) = 64 - 64 = 0
Answer: a ) one solution
Do 5.4 plus 5.8 then do 3.4w minus 1.8w and whatever you get for each is your key to the expression. So if you were to solve the answers like A you would do 7(1.6+w) and see what you would get. Obviously A isn't the answer. Sorry, this is hard to explain. But the answer is C