Answer:
x=-1 is a maximum vaue.
Step-by-step explanation:
To find the minimum and maximum values of the function f(x), we're going to derivate it:
f(x) = –5x^2 – 10x + 6 ⇒ f'(x) = -10x - 10
The points where f'(x) is zero, could be a maximum or a minimum. Then:
f'(x) = -10x - 10 = 0 ⇒ x=-1
Now, to know if x=-1 is a maximum or a minimum, we need to evaluate the original function for x when it tends to -1 from the right and from the left.
Therefore:
For x=-2:
f(x) = 6 (Positive)
For x=0:
f(x) = 6 (Positive)
For x=-1
f(x) = 11 (Positive)
Given that at x=-1, f(x) = 11, and then it goes down to 6 when x=0, we can say that it's a maximum.
Answer: 3
Step-by-step explanation:
using y2-y1/x2-x1
m = 1-(-5)/4-2
simplify:
6/2 = 3
Answer:
[-5, 7]
Step-by-step explanation:
Answer:
AC = 28 feet
Step-by-step explanation:
Point C is the midpoint of AB, so AC is half the length of AB:
AB/2 = (56 ft)/2 = 28 ft = AC
