Answer:

Step-by-step explanation:
The constraints are
The red line represents the function

At 

At 

Two points are 
The blue line represents the function

at 

at 

Two points are 
The other two constraints are
,
. So, the point has to be in the first quadrant
From the graph it can be seen there are two points where the function will be maximum let us check them.




So, the maximum value of the function is
.
Answer:
arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30
geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)
Step-by-step explanation:
Arithmetic sequence:
-6, 18, ...
18 - (-6) = 24
18 + 24 = 42
42 + 24 = 66
66 + 24 = 90
90 + 24 = 114
y = -6 + 24(x - 1)
y = -6 + 24x - 24
y = 24x - 30
Geometric sequence:
-6, 18, ...
18/(-6) = -3
18 * (-3) = -54
-54 * (-3) = 162
162 * (-3) = -486
-486 * (-3) = 1458
1458 * (-3) = -4374
y = -6(-3)^(x - 1)
Step-by-step explanation:
horizontal line I believe
Answer:
y = 3x -4
Step-by-step explanation:
The slope-intercept equation looks like this:
. Where m is the slope of the function and b is the y-coordinate of the vertical intercept (where the function crosses the y-axis). Let's apply the formula:


