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
Answer:
1) Kinetic energy of the truck 1 is 600,000 joules.
Kinetic energy of the truck 2 is 1,837,500 joules.
2 a)Potential energy of truck 1 is 646,800 Joules.
b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.
Step-by-step explanation:
Mass of the truck 1 and truck 2,m = 3000 kg
Velocity of the truck 1, = = 20 m./s
Velocity of the truck 2, = 35 m./s
1. Kinetic energy of the truck 1:
Kinetic energy of the truck 2:
2.a) Energy loose by the truck 1:
Initial height of the truck on the hill = 22 m
At that height potential energy will be maximum:
Potential energy of truck 1 at that height =
b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.