Answer:
sss
Step-by-step explanation:
In this problem, we don't need to come up with an equation anymore because it is already given. The speed and the length of the platform is already incorporated in the equation:
f(t) = 16t² +32t + 4
Now, we apply the concepts learned in Calculus. To find the maxima or minima of the function, you find the first derivative of the equation and equate it to zero. Using the formulas essential in differentiation, the derived form is
f'(t) = -32t + 32 = 0
Simplifying the equation:
-32(t-1) = 0
t - 1 = 0
t = 1
Since f(t) represents the distance, let's substitute t=-1 to the original equation to determine the maximum height:
f(-1) = -16(1)² +32(1) + 4 = 20
That means that the maximum height is 20 feet.
Answer:
C
Step-by-step explanation:
Its C because it doesn't depend on the marbles there to separate picks so neither will affect each other
Answer:
+
Step-by-step explanation:
Answer:
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the form:
f (x) = m*x + b or y=m*x + b
where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.
The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis. According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.
You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118. Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.
