You just purchased a rectangular waterfront lot along a river's edge. The perimeter of the lot is 360 feet. To create a sense of privacy, you decide to fence along three sides, excluding the side that fronts the
river. An expensive fencing along the lots front length cost $20 per foot. An inexpensive fencing along
the two sides widths cost only $8 per foot. The total cost of the fencing along the three sides comes to
$3280. 5a.1> What are the lot's dimensions? 5a.2> You are considering using the expensive fencing on
all three sides. However, you are limited by a $5,300 budget. Can this be done within your budget
constraints?

What is the vertical asymptotes of the function f(x)=x-2/x*2-3x-4

Organic apples are on special for $1.50 per pound. does total cost vary inversely or directly with the number of pounds purchased? find the cost of 3.4 pounds of apples. a. inversely: $5.10 b. directly; $5.10 c. inversely: $2.27 d. directly; $2.27

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).