Profit function - Cost function = Revenue function
Answer:
y = 3/4x +4
Step-by-step explanation:
From point A to point B, you show a rise of 3 units and a run of 4 units. (The rise is the difference in height of the first two squares; the run is the side length of the first square.) The ratio rise/run = 3/4 is the slope of the line you want.
The upper-left corner of the first square is the y-intercept of the line (4). So, in slope-intercept form, the equation of the dotted line is ...
y = mx + b . . . . . m = slope; b = y-intercept
y = 3/4x + 4
We don’t know the value of the shorter side, so we will categorize it as x. Side 2 is just 4 feet longer than x, so we would add 4 on to it. Side 3 has double the x, so we would multiply it be 2 for 2x, and subtract the 4 feet from it.
Side 1: x
Side 2: x + 4
Side 3: 2x - 4
If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:
x + x + 4 + 2x - 4 = 4x.
Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.
4x = 64. Divide both sides by 4 to get x by itself.
x = 16.
Now that we know x is 16, we will substitute it in for all the side lengths’ equations.
We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.
Therefore, the final lengths of all the sides are:
Side 1: 16
Side 2: 20
Side 3: 28
The exponential form of this equation is "0.8⁴ = 0.4096 ".
Now, in this logarithm equation the base of the log is 0.8.
when we convert this equation to exponential form 0.8 will go to left side, 4 moved up and became the exponent of 0.8 and thus it makes the exponential equation;
4=log₀.₈ 0.4096 <span>logarithmic equation
0.8</span>⁴ = 0.4096 exponential form
Answer: f(2)=15, f(-2)=18, all real #s
Step-by-step explanation:
1. f(2)=4(2)^2-2+1=16-1=15
2. f(-2)=4(-2)^2-(-2)+1=16+3=18
