Answer:
i think it might be C
Step-by-step explanation:
very sorry if it's wrong
<span>the particle's initial position is at t=0, x = 0 - 0 + 4 = 4m
velocity is rate of change of displacement = dx/dt = d(t^3 - 9t^2 +4)/dt
= 3t^2 - 18t
acceleration is rate of change of velocity = d(3t^2 -18t)/dt
= 6t - 18
</span><span>the particle is stationary when velocity = 0, so 3t^2 - 18t =0
</span>3t*(t - 6) = 0
t = 0 or t = 6s
acceleration = 6t - 18 = 0
t = 3s
at t = 3s, velocity = 3(3^2) -18*3 = -27m/s
displacement = 3^3 - 9*3^2 +4 = -50m
The given equation is:
9x-3+10-5x = 9x-5x-3+10
1. Associative property of addition: when three or more numbers are added the sum is same regardless of the grouping of the numbers.
(9x -5x) + (10-3) = (9x -5x) + (10-3)
2. Commutative property of addition: This property states that the numbers can be added in any order without changing the resulting answer/ sum.
9x-3+10-5x= -3+10+9x-5x
Answer:
0 real roots
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then the roots are not real
- 9x² + x - 7 = 0 ← is in standard form
with a = - 9, b = 1, c = - 7 , then
b² - 4ac = 1² - (4 × - 9 × - 7) = 1 - 252 = - 251
Since b² - 4ac < 0 then the equation has no real roots
