Solve.A rectangular animal pen is constructed such that the length and width of have a sum of 74 feet. (i) Show that the area of the rectanglular animal pen, y, can be represented by x(74 - x), where x is the length of the rectangle. (ii) Graph the equation y = x(74 - x). (iii) What dimensions give the maximum area for the animal pen?
What will be an ideal response?
(i) If the length of the rectangle is x, and the sum of the length and width is 74, the width
can be found by solving x + w = 74 for w. This gives w = 74 - x. Using the formula for
the area of a rectangle, y = lw, the area can be represented by y = x(74 - x).
(ii) 
(iii) Length 37 and width 37
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For 
, 
is an exterior angle. Which of the following must be true?
A. 
B. 
C. 
D. 
Write the negation of the conditional statement.If she can't take out the trash, I will.
A. She can take out the trash, and I can't. B. She can't take out the trash, and I won't. C. She can't take out the trash, I can't. D. If she can take out the trash, I can't.
Select the correct graph and domain of the function.
?
?
A. ?
Domain: [-3, 3]
B. ?
Domain: [-3, 3]
C.
Domain: [-3, 0]
D.
Domain: [-3, 0]
E.
Domain: [-3, 3]
Solve the problem.The rabbit population in a forest area grows at the rate of 4% monthly. If there are 190 rabbits in July, find how many rabbits (rounded to the nearest whole number) should be expected by next July. Use 
.
A. 293 B. 319 C. 306 D. 246