Provide an appropriate response.Explain how the graph of y =
x- 5 can be obtained from the graph of y = 4x.
What will be an ideal response?
The graph is reflected over the y-axis and then shifted 5 units down.
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Find the moment or center of mass of the wire, as indicated.Find the center of mass of a wire of constant density that lies along the line 
from x = 0 to 
A. 
= 7, 
= 7
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 7, 
= 0
Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts.f(x) = 
A. No x-intercepts, y-intercept: 
;
B. No x-intercepts, y-intercept: 
;
C. x-intercept: 
, no y-intercepts ;
D. x-intercept: 
, no y-intercepts ;
Convert the objective function into a maximization function.Minimizew = y1 + 2y2 + 3y3subject to:4y1 + 3y2 + y3 ? 25 y1 + 2y2 + 4y3 ? 39 y1 ? 0, y2 ? 0, y3 ? 0
A. Maximize z = -y1 - 2y2 - 3y3 B. Maximize z = -y1 - 2y2 - 4y3 ? 39 C. Maximize z = -4y1 - 3y2 - y3 ? 25 D. Maximize z = y1 + 2y2 + 3y3 - y4
Find the exact value under the given conditions.sin ? = - 
, 
< ? < 2?; cos ? = - 
, ? < ? < 
Find sin (? - ?).
A. 
B. 
C. 
D. 