Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the same amount of vegetables. The rectangular garden will have a length that is 2 times the length of the square garden, and the width of the new garden will be 16 feet shorter than the old garden. The square garden is x feet by x feet. Old garden area = New garden area x2 = (2x)(x – 16) x2 = 2x2 – 32x 0 = x2 – 32x What is the value of x that makes sense in this context? What are the dimensions of the new garden?

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general 11 months ago 8238

The graph shows the distance y, in miles, of a moving train from a station over a certain period of time, x, in hours:A graph titled Distance Vs Time is shown with Time in hours labeled on x-axis and Distance from Station in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, 7, and the scale on the y-axis shows the numbers 0, 45, 90, 135, 180, 225, 270, 315, 360. The graph shows a straight line joining the ordered pairs 0, 90, and 1, 135, and 2, 180, and 3, 225, and 4,270.What is the speed (in miles per hour) of the train and why? 45 miles per hour, because speed is the rate of change of distance 90 miles per hour, because speed is the initial value of the function 135 miles per hour, because speed is the distance traveled in unit time 270 miles per hour, because speed is the distance traveled in a certain time@prestonrobotics

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general 11 months ago 8002

Tom has just received a new job offer. He is told that his starting salary will be 75,000.00 per year. He is also told that his salary will probably be 83,000.00 in four year. 1. Use the data given to find the rate of change, or the salary increase per year. (HINT;compute the slope) 2. We are now going to use a line to model Tom's Salary growth. Use the Data giving and the slope value from step 1 to write the slope intercept form of the line. 3. Based on your equation from step 2 what will Tom salary be in ten years?

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general 11 months ago 8911

The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 13, 26, 39, 52, 65, 78. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 26. The second straight line joins 2, 26 and 3,26 and the third straight line joins ordered pair 3,26 with the ordered pair 5,52.Which of the following best describes the motion of the car shown? It travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours. It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours. It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

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general 11 months ago 7304

The function f(x) = 200 × (1.098)x represents a village's population while it is growing at the rate of 9.8% per year. Create a table to show the village's population at 0, 2, 4, 6, 8, and 10 years from now. Use your table to create a graph that represents the village's population growth. When the population doubles from its current size, the village will need to dig a new water well. To the nearest half of a year, about how long before it is time for the village to dig the new well?

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general 11 months ago 6268

Which situation CANNOT be represented by this equation? 8x + 5 = 29 CLEAR CHECK Angel has $29 to order shirts online. Each shirt costs $5, and there is an $8 shipping charge. How many shirts, x, can Angel buy? Angel has $29 to order shirts online. He buys 8 shirts and pays a $5 shipping charge. What is x, the cost of each shirt? Angel is ordering shirts that cost $8 each online. There is also a $5 shipping charge. If he has $29 to spend, how many shirts, x, can he buy?

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general 11 months ago 1498