Solve the problem.The formula y =  models the relationships needed to focus an image where y is the distance between the film and projector lens, x is the distance between the move screen and the projector lens, and f is the focal length. a) Sketch the graph of this rational function for f = 5 centimeters. b) Bob and Carol are showing home movies. Use the graph to describe the desired distance between the film and the projector lens as Carol moves the projector further from the screen.

What will be an ideal response?


a) 
 
b) To remain focused, the desired distance between the film and the projector lens decreases and approaches 5 centimeters as the distance between the movie screen and the projector lens increases.

Mathematics

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Provide an appropriate response.Suppose there are two candidates in a hypothetical U.S. Presidential election. Atwood wins 53,720,827 popular votes and 276 electoral votes, while Jones wins 53,926,903 popular votes and 262 electoral votes. State who wins the popular vote and who becomes President. (Assume that all votes were cast for either Atwood or Jones.)

A. Jones wins the popular vote and becomes President. B. Atwood wins the popular vote, but Jones becomes President. C. Atwood wins the popular vote and becomes President. D. Jones wins the popular vote, but Atwood becomes President.

Mathematics

Write the augmented matrix for the system. 5x + 6y + 8z = 92 4x + 4y + 6z = 66 6x - 2y + 9z = 35

A.
B.
C.
D.

Mathematics

Simplify.144 ÷ (12 ÷ 4)

A. 48 B. 12 C. 3 D. 141

Mathematics

Encode or decode the given message, as requested, numbering the letters of the alphabet 1 through 26 in their usual order.Use the coding matrix A =  to encode the message COME_HERE.

A.
B.
C.
D.

Mathematics