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Determine all possible matches between the given equations of lines and graphs (a) 14x - 2y + 7 = 0 (b) 4x + 21y + 14 = 0 A B. В 3 3 21 2 2 1 4 -3 -2 -1 -4 -3 -2 -1 1 2 3 -2 +2 -3 -3 -4 O a) A is the graph of the line given by equation (b). Ob) B is the graph of the line given by equation (a). A is the graph of the line given by equation (b) and B is the graph of the line given by equation (a). O d) B is the graph of the line given by equation (b).

Find the inverse function of f(x) = -7x – 3. 1 Oa) -'(x) = -x - 3) $(– fx = Ob) f-'(x) = = 1 -7x - 3 7 Oc) f-'(x) = = -1 -3 х x O d) f-'(x) = Odl '(= 37 =

If f(x) = x – 5 and g(x) = x² - 6, find a formula for (f•fºg)(x). = O a) (f•fog)(x) = x? – 11 Ob) (f•fºg)(x) = x² – 16 Oc) (f•fog)(x) = x2 – 10x + 14 = - O d) (f•fºg)(x) = x2 – 20x + 94

Which of the following equations describes the line that contains the point (-6, and is perpendicular to the line with equation y = 3 - 2x ? х a) y = 1 - 2 X O b) y = 2 +4 ) O c) y = 2x - 8 O d) y = 13 - 2x

An oil spill has occurred at sea and is spreading in a circular pattern. The radius of the spill has been increasing eight miles every day since the beginning. What is the area of the spill after five days? a) 5027 square miles O b) 5278 square miles Oc) 3519 square miles O d) 3770 square miles

Which of the following graphs represents a function that has an inverse function III f(x) f(x) 1 HEAP 0.5 0.5 0.5 -1 O a) None of the graphs represent functions with inverses b) Only I represents a function with an inverse c) Only Il represents a function with an inverse d) Only Ill represents a function with an inverse e) Only I and II represent functions with inverses O f) Only I and Ill represent functions with inverses g) Only II and Ill represent functions with inverses Oh) All represent functions with inverses

The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section. Suppose the strength of an oak beam is 1135, when the beam is 6 inches wide and 14 inches deep. Determine the strength, S, of the largest rectangular beam that can be cut from a 34-inch-diameter oak tree, given that the beam must be 8 inches wide. Remember y is proportional to x if there is a constant k such that y = kx. The constant k is known as the constant of proportionality. O a) S = 8431 Ob) S = 2041 = Oc) S = 19673 d) S = 104

Find the inverse function of f(x) = 7x - 6. 1 O a) f-'(x) 7x - 6 x + 6 Ob) 5-1(x) = = 7 7 c) f-'(x) = 6 х X-6 O d) f-'(x) = = 7

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You have $280 to spend on subs and soda for a party. Each sub costs $5.00 and a bottle of soda costs $0.80. Which of the following graphs represents the linear relationship between the number of subs and the number of soda bottles that can be purchased for the party? bottles 60 50 40 o a) 30 20 101 50 subs 100 150 200 250 300 350 bottles 350 3001 250 200 1501 100 b) 50 10 subs 20 30 40 50 60 bottles 50 40 o c) 30 201 101 subs 50 100 150 200 250 300 350 bottles 250 2001 d) 150 100 50 1 10 subs 20 30 40 50 60