A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero.
t(x)=(x+5)^3+7
dt/dx=3(x+5)^2
d2t/dx2=6(x-5)
dt/dx=0 only when x=-5
However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.
So there is no turning point for this function.
Now in this problem, it is even easier than the above to show that there is no turning point. A turning point by definition is when the derivative or velocity changes sign. Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.
Answer:
D. There is not enough information to make a conclusion about the population mean.
Step-by-step explanation:
One of the crafters Chris has a sample means of 200. This means that the average amount of yarn Chris used is 200 meters. Yet there is nothing else given about the other crafters, hence it is impossible to draw a conclusion.
The answer is option 3 (p^2+9)(p+3)(p-3) because you use the difference of squares formula
Answer:
The measure of the largest angle is 72º.
Step-by-step explanation:
We will first solve for x. We know that the sum of the interior angles of a triangle is 180º, so 15x + 21x + 24x is equal to 180º. This means that 60x = 180º, so x = 3º. The largest angle is 24x, which is 72º.
Answer:
Step-by-step explanation:
d = 200 miles
B rate = x
A Rate = x + 20
Each has traveled two hours
The total distance each travels after two hours is 200 miles (they pass each other).
d = r * t
2*x + 2*(x + 20) = 200 Remove the brackets
2x + 2x + 40 = 200 Combine like terms
4x + 40 = 200 Subtract 40 from each side
4x = 200 - 40
4x = 160 Divide by 4
x = 160/4
x = 40
There B's rate is 40 miles / hour
A's rate is 40 + 20 = 60 miles / hour
