Answer:
x = -
, x = 2
Step-by-step explanation:
To find h(g(x)) substitute x = g(x) into h(x) , that is
h(g(x))
= h(x + 1)
= (x + 1)²
= x² + 2x + 1
For h(g(x)) = 3x² + x - 5 , then
3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
2x² - x - 6 = 0 ← in standard form
(2x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
x - 2 = 0 ⇒ x = 2
208- ( 2* 46)= X
208- 92=2x
x=58
The length is 58cm.
Check by:
58*2 +46*2
116+92= 208
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:
b
Step-by-step explanation: