Answer: Absolute minimum: f(-1) = -2
Absolute maximum: f(
) = 12.5
Step-by-step explanation: To determine minimum and maximum values in a function, take the first derivative of it and then calculate the points this new function equals 0:
f(t) = 
f'(t) = 
f'(t) = 
f'(t) = 
= 0
For this function to be zero, only denominator must be zero:
t = ±
≠ 0
t = ± 5
Now, evaluate critical points in the given interval.
t = 
and t = - 5 don't exist in the given interval, so their f(x) don't count.
f(t) =
f(-1) = 
f(-1) = 
f(-1) = 
f() = 
f() = 12.5
f(5) = 
f(5) = 0
Therefore, absolute maximum is f() = 12.5 and absolute minimum is
f(-1) = .
. The sum of angels in the triangle must be 180
Therefore
1) 180 - (40+85)= 55
2)180-(14+30)= 136
Answer:
3/2
Step-by-step explanation:
Y2-Y1
_____
X2-X1
= 5-2
____
-6-(-3)
=3/2
Answer:
- y = - (x - h - 3)² - k + 7
Step-by-step explanation:
<u>Let the patent function be:</u>
- y = (x - h)² + k in the vertex form
<u>Then transformation steps are:</u>
1. Reflection over x- axis, y' = -y
2. Translation 7 units up and 3 units to the right, y'' = y' + 7, x' = x - 3
- y'' = - (x - h - 3)² - k + 7
Answer:
Distance between the points (-3,1) and (1, -2),
Option C
