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Imagine you are in the market for a new home and are interested in a new housing community under construction in a different city.
a. The sales representative informs you that there are 56 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation.
b. The sales representative later indicates that there are three times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in Part a.
c. Use the equations from Parts a. and b. of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.
d. What are the intercepts of the equation from Part a. of this problem? What are the intercepts from Part b. of this problem? Where would the lines intersect if you solved the system by graphing?
a plane is flying horizontally at an altitude of 2 mi and a speed of 400 miles per hour passes directly over a stadium. find the rate at which the distance from the plane to the stadium is increasing when the plane is 4 mi away from the station?
which relationship can best be described as casual?
The number of rabbits in a forest varies with time. During the period of 1980 to 1990 the number is given approximately by the formula where t is the number of years after 1980. (a) Sketch on graph paper the population during 1980-1990
You are preparing for an upcoming sales meeting and need to create and compare various supply and demand graphs that show the break-even point for the company.
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The portion of the company's fixed costs allotted to this product is $490, and the supplier's cost per tile is $6 each.Your task is to input the correct formulas (polynomials) in the spreadsheet attached to this note to analyze the profit found fo..
billy likes to go cycling. His bike has wheels of diameter 75cm. He has invented a counter for his bike , which counts the number of revolutions the wheel make. one day the counter shows 250 revolutions. How far has billy cycled? Give your answer ..
At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 105 minutes, her sample has decayed to 46.5 grams. What is the half-life of the goo in minutes?
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