A box of detergent is on sale for $6.50, if this price is 40% discount from the original price to the nearest cent.
1 answer:
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Answer:
x = - , x =
Step-by-step explanation:
Given
x² - x - = 0
Multiply through by 4 to clear the fraction
4x² - 4x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × - 3 = - 12 and sum = - 4
The factors are + 2 and - 6
Use these factors to split the x- term
4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term
(2x + 1)(2x - 3) = 0
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
Answer: a=8 and b=1
Step-by-step explanation:
If x represents the paddling speed, and y represents the speed of the current.
Then Relative speed in upstream =x-y
Relative time in downstream=x-y
When she paddles upstream then distance covered by her=
⇒8=(x-y)2 or 2(x-y)=8
Thus we get, a=1
When she paddles downstream then distance covered by her=
⇒8=(x+y)1 or 1(x+y)=8
Thus we get b=1