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.
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Rewrite the quadratic function in standard form by completing the square.f(x) = x2 + 18x
A. f(x) = (x - 9)2 + 9 B. f(x) = (x - 18)2 + 18 C. f(x) = (x + 9)2 - 81 D. f(x) = (x + 18)2 - 324
An object moving vertically is at the given heights at the specified times. Find the position equation for the object.
At t = 1 second, s = 284 feet
At t = 2 seconds, s = 221 feet
At t = 3 seconds, s = 126 feet
a.
b.
c.
d.
e.
Simplify.66 - (24 - 7)
A. 35 B. 49 C. 17 D. 42
Express the graph shown using interval notation. Also express it as an inequality involving x.
A. (3, 10] 3 < x ? 10 B. [3, 10) 3 ? x < 10 C. (3, 10) 3 < x < 10 D. [3, 10] 3 ? x ? 10