Answer:
(5x + 2) (x - 2 )
Step-by-step explanation:
5x^2 - 8x – 4
(5x ) (x )
We need the middle to be -8 and 4 factors into 4*1 and 2*2
5*2 = 10 -2 = 8
(5x 2) (x 2 )
Now determine the signs
We need -8 so 5*2 must be negative and the 2*1 must be positive
(5x + 2) (x - 2 )
The like terms are 2 and -7
Answer:
9b≥ -18
Step-by-step explanation:
Answer:
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Step-by-step explanation:
Given that a roller coaster ride reach a height of 80 feet.
The height above the ground of the roller coaster is modeled by the function
h(t)=10t²-40t+80
where t is measured in second.
h(t)=10t²-40t+80
Differentiating with respect to t
h'(t)= 10(2t)-40
⇒h'(t)=20t-40
To find the minimum height we set h'(t)=0
∴20t-40=0
⇒20t =40
⇒t=2
The height of the roller coaster minimum when t=2 s.
The minimum height of of the roller coaster is
h(2)= 10(2)²-40.2+80
=40-80+80
=40 feet.
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
