Question: Please help me with these. Vint is testing ceiling fans in a factory. For one of the tests, he switches the fan on, and after

Please help me with these.

Please help me with these. Vint is testing ceiling fans in afactory. For one of the tests, he switches the fan on, andafter it attains a maximum speed of 500 rotations per minute (rpm),he switches the fan back off, recording the amount of time it

Vint is testing ceiling fans in a factory. For one of the tests, he switches the fan on, and after it attains a maximum speed of 500 rotations per minute (rpm), he switches the fan back off, recording the amount of time it takes for the fan to completely stop spinning. The given equation models Vint's test, where xrepresents time in seconds and yrepresents the speed in rotations per minute. y= -5x2 + 100x The equation has been graphed as shown. 600+ 500 400 300+ 200 100+ / -24 -20 -16 -12 -8 -4 0 4 8 12 16 20 24 X -1004 200 Assuming that the test was complete when the fan stopped spinning completely, how long was the test? O A. 500 seconds O B. 10 seconds O C. 20 seconds O D. 100 secondsA florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below. P(x) 600 450- 300- 150 -12/ -8 -4 4 8 12 16 70 X 150- -300- -450- -600- Use the graph to complete each statement about this situation. The maximum profit the florist will earn from selling celebration bouquets is $ The florist will break-even after one-dollar decreases. The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( ).The height ofthe new bike tunnel, y, in feet, is given by the following equation, where XlS the horizontal distance. in feet from the center line of the opening of the tunnel. y=2+36 Note that negative )(values indicate the distance to the left of the center line, and positive X-values indicate the distance to the right of the center line. Plot the points on the graph where the height ofthe tunnel is a maximum and where the height of the tunnel is zero feet. Drawing Tools f { Click onaloollo begin drawing. ' l h Undo l G Reset Which equation represents a parabola that opens upward, has a minimum value of 3, and has an axis of symmetry at x = 3? OA. (x) = ( x+ 3)2 +3 OB. (x) = (x- 3)2- 6 OC. RX ) = ( x+ 3)2- 6 OD. (x) = (x-3)2+3

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!