Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
Percentage by which the average value of mid sized car decreases each year = 8%
Retail value of a car today = v dollars
Amount of decrease in the value of the car after 1 year = (8/100) * v
= 2v/25 dollars
Then
The equation that represents the value of the car after 1 year = v - (2v/25) dollars
= (25v - 2v)/25 dollars
= 23v/25 dollars
So following this expression the value of the mid sized car can be easily determined after 1 year. I hope this is the answer you were looking for and the procedure is also clear to you.
Answer:
24.75/24¾
Step-by-step explanation:
148.5 ÷ 6 = 24¾ or 24.75
Answer: Each driver drove 24.75/24¾ miles
The given distance of 5.20 would be A.
Replace A with 5.20 to solve for T.
T = 5.20^3/2
T = 11.9 years.