The function is given as
![f(x)=4\cos (\pi x)+1](https://tex.z-dn.net/?f=f%28x%29%3D4%5Ccos%20%28%5Cpi%20x%29%2B1)
For the equation of mid-line ,
From the function, we have a vertical shift up 1.
So the mid-line is y=1.
Maximum -
The amplitude of the function is 4.
From 1, you can go up 4 values to find the maximum.
Therefore, the maximum is 1+4=5
Minimum-
The amplitude of the function is 4.
From 1, you can go down 4 values to find the minimum.
Therefore, the minimum is 1-4=-3.
Answer:
The required slope is equal to -1/2.
Step-by-step explanation:
The given equation of line is :
x + 2y = 10
A line parallel to this line has the same slope. To determine the slope, solve for y to change the equation to slope-intercept form:
y = mx+b .....(1)
2y = 10 -x
Dividing both sides by 2.
....(2)
Comparing equations (1) and (2),
m = -1/2
Hence, the required slope is equal to -1/2.
Answer:
B
Step-by-step explanation:
Given
6p³ - 12p² + 9p ← factor out 3p from each term
= 3p(2p² - 4p + 3) → B
Answer:
F is the base or variable.
if it is asking for a simplifed version of this its -3/f
Step-by-step explanation:
Answer:
-1 - ( -2 ) = 1
Step-by-step explanation: