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.
(1250-140)/2
1110/2
answer= 550
First we need to figure out how many total ounces the fish weighs.
Since there is 16oz in a pound, we just need to multiply 31 by 16 which equals 496oz. We also need to add 12 because the fish weighed 31 pounds and 12oz.
496 + 12 = 508
Okay, so now that we have the total amount of ounces that the fish weighs, we can divide it by the average serving size (6oz)
508 ÷ 6 = 84.66666....
84.66666 can be rounded to 85
Therefore, the fish has about 85 servings
Hope this helps
-AaronWiseIsBae
Answer:
-4.375
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Given
(x - 2)² + 9 = 0 ( subtract 9 from both sides )
(x - 2)² = - 9 ( take the square root of both sides )
x - 2 = ± 
yields no real solutions
There is no real number when multiplied by itself gives - 9
In fact the solutions to are said to be imaginary, that is ± 3i
where i = 
If interested investigate further.
