Step-by-step explanation:
y = x² − 14x + 24
To convert to vertex form, complete the square. Take half of the second coefficient, square it, then add the result to both sides.
(-14/2)² = 49
y + 49 = x² − 14x + 49 + 24
y + 49 = (x − 7)² + 24
y = (x − 7)² − 25
The vertex is (7, -25).
A. False
B.False
C. True
D. False
Answer:
Step-by-step explanation:
what grade are u in?
Answer:
4.4 days
Step-by-step explanation:
375 x 0.14 = 52.5
300 - 52.5 = 247.5
247.5 / 55.98 = 4.42 days
Answer:
x₁ > x₂
Step-by-step explanation:
Both actions imply a parable trajectories, since both are projectile shot cases.
Let´s call x₁ maximum distance in the first case
The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.
In the second case, the parable curve is modeled by:
y = x₂*( 0.08 - 0.002x₂) or y = 0.08*x₂ - 0.002*x₂²
A second degree equation, solving for x₂ and dismissing the value x₂ = 0
we get:
y = 0 ⇒ x₂*( 0.08 - 0.002x₂) = 0 x₂ = 0
And 0,08 - 0.002*x₂ = 0
- 0.002*x₂ = - 0.08
x₂ = 0.08/0.002
x₂ = 40 f
Then x₁ > x₂