Answer:
a 6,3 b 2,3 c 2,-1 d 6,-1
Step-by-step explanation:
flip the signs
Answer:
20=5*-3+x or 20=-15+x or 35=x
Here it is given that the width is x ft and total length of the fence is 2400 ft .
Let the length be y ft
So we have
Let A represents area, and area is the product of length and width .
So we get
Substituting the value of y, we will get
Second part
The area is maximum at the vertex, and vertex is
And
And that's the required dimensions .
Answer: x=2/3
Step-by-step explanation:
Answer:
A) (1 s, 2.3 s)
B) (-4 m/s², 3.8 m/s²)
Step-by-step explanation:
The car's position which is the distance is given by the equation;
s(t) = t³ - 5t² + 7t
A) Velocity is the first derivative of the distance. Thus;
v(t) = ds/dt = 3t² - 10t + 7
At v = 0, we have;
3t² - 10t + 7 = 0
Using quadratic formula, we have;
t = 1 and t = 2.3
Thus, time at velocity of 0 is t = (1 s, 2.3 s)
B) acceleration is the derivative of the velocity. Thus;
a(t) = dV/dt = 6t - 10
At velocity of 0, we got t = 1 and t = 2.3
Thus;
a(1) = 6(1) - 10 = -4 m/s²
a(2.3) = 6(2.3) - 10 = 3.8 m/s
Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)
