Answer:
The answer would be P(x) = 1573*(1.02)^x
The equation that describes the which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn is A = 130x - x²
<h3>How to find area of a rectangle?</h3>
The pen is rectangular. Therefore,
area of a rectangle = lw
where
Therefore,
perimeter = 2w + l
perimeter = 2w + x
130 = 2w + x
130 - x = 2w
w = 65 - 1/ 2 x
A = xw
A = x(65 - 1/ 2 x)
A = 65x - 1 / 2 x²
Therefore, the function that represents A, the area of the pen is as follows:
A = 130x - x²
learn more on rectangle here: brainly.com/question/12685460
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Answer:
The smaller Number = 15
The larger number = 67
Step-by-step explanation:
Let
The smaller number = x
The larger number = 5x - 8
The sum = 82
(5x - 8) + x = 82
5x - 8 + x = 82
6x - 8 = 82
Add eight to both sides
6x - 8 + 8 = 82 + 8
6x = 90
Divide both sides by 6
x = 90/6
= 15
Therefore,
The smaller number = x = 15
The larger number = 5x - 8
= 5(15) - 8
= 75 - 8
= 67
To solve this, we need to understand Slope Intercept Form (SIF), as well as how to graph a line.
SIF is the standard equation of lines on graphs. It is "y=mx+b" where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is 0.
To find the y-intercept (which we will need to form the equation), we should simply graph the line. This will let us visualize the y-intercept, and overall make it easier to understand.
To graph a line, we should start with the point we have (that being (3, 3)) and follow the slope with rise/run. This means in this case, we will go right 2 for every 1 up, or 2 left for every 1 down.
Below I have attached a graph to help you see how to graph this, which we will get our equation from. The highlighted area is our y-intercept. The red circle shows our original point (3,3), and the blue dots show our slope.
Using the graph, we can see the equation for this line is
y=1/2x+1.5.
Parallel: line p with slope 2/5
Perpendicular: line n with slope -5/2
the other two would be neither.