Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x – x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.
A. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.5); f(x) = 2x2 – 2x – 1

B. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.5); f(x) = –2x2 + 2x – 1

C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.5); f(x) = –2x2 – 2x – 1

D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.5); f(x) = –2x2 + 2x – 1

An alligator swims to the left with a constant velocity of 5 \,\dfrac{\text{m}}{\text s}5 s m ? 5, space, start fraction, m, divided by, s, end fraction. when the alligator sees a bird straight ahead, the alligator speeds up with a constant acceleration of 3 \,\dfrac{\text {m}}{\text s^2}3 s 2 m ? 3, space, start fraction, m, divided by, s, start superscript, 2, end superscript, end fraction leftward until it reaches a final velocity of 35 \,\dfrac{\text {m}}{\text s}35 s m ? 35, space, start fraction, m, divided by, s, end fraction leftward. how many seconds does it take the alligator to speed up from 5 \,\dfrac{\text {m}}{\text s}5 s m ? 5, space, start fraction, m, divided by, s, end fraction to 35 \,\dfrac{\text {m}}{\text s}35 s m ? 35, space, start fraction, m, divided by, s, end fraction?

Brutus, the dog, is pulling a bone to the left with a force of 20 n. lassie, another dog, is pulling a bone to the right with a force of 18n. what is the net force? a. b. c.

There are two-speed cameras, one in an are where the speed limit is 30 km/h and another where the speed limit is 50 km/h. in which will there be a smaller time interval between the photographs? explain your answer.