The answer is -8 because -48/6= -8
A
The velocity is found by differentiating the given cubic.
x'(t) = 2t^3 - 15t^2 + 24t This is the distance
x'(t) = 6t^2 - 20t + 24 This is the velocity (first derivative)
x"(t) = 12t - 20 This is the acceleration (second derivative)
x'(2) = 6(2)^2 - 20*2 + 24
x'(2) = 24 - 40 + 24
x'(2) = 48 - 40
x'(2) = 8 units per second.
x"(2) = 12(2) - 20
x"(2) = 24 - 20
x"(2) = 4 units per second^2
B
at t = 2 the acceleration is positive. That's a pretty good indication that the velocity is increasing.
C
When x(t) is minus, then the particle is moving left.
At t = 0 the object is not moving (x(t) = 0)
Any value less than 0 and the object is moving left. Try a couple of values.
x(-1) = 2(-1)^3 - 15(-1)^2 +24(-1) Whatever that is is minus.
t < 0 will make the object move left.
Answer:
x=12; Converse of conrresponding angles postulate
Step-by-step explanation:
On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:
8x-17=5x+19
Solve
X=12
The converse used was the Converse of Corresponding Angles Postulate
Answer:
A building is 35 feet tall
35
The scuba diver is 35 feet below sea level
-35
The basement is 7.6 feet below ground
-7.6
Oliver owes his sister $23
-23
Erika jumped 2.3 feet above the ground
2.3
Step-by-step explanation:
You have to look at the word choice, like below or tall. If they are describing something below something else they generally want it to be negative, or if they are talking about how much you owe. Otherwise it will be positive. Then just match the numbers.
R; all quadratic functions are going to have ranges and domains of *ALL REAL NUMBERS* [(-∞, ∞)].