Find the solution by graphing the system of equations.A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 6 slices of pizza and 5 soft drinks for $27.52. The second group bought 5 slices of pizza and 4 soft drinks for $22.64. We can represent this situation with the system of equations 6p + 5s = 27.52 5p + 4s = 22.64where p is the cost of a slice of pizza and s is the cost of a soft drink. Determine the cost of one slice of pizza.
A. $2.26 per slice of pizza
B. $3.12 per slice of pizza
C. $1.76 per slice of pizza
D. $2.62 per slice of pizza
Answer: B
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Solve the formula for the specified variable.S = 2?rh + 2?r2 for h
A. h = S - r
B. h = 2?(S - r)
C. h = 
- 1
D. h = 
Factor the expression.14y3 + 42y2
A. 14(y3 + 3y2) B. 14y2(y - 3) C. 14y2(y + 3) D. 14y(y2 + 3)
Find the particular solution that satisfies the initial condition.
; Initial Condition: 
when 
?
A. ?
B. ?
C. ?
D. ?
E. ?
Solve the problem.A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the size of the object. Suppose a person has a windpipe with a 
radius. If a foreign object has a radius r, in mm, assume that the velocity V, in mm/second, needed to remove the object by a cough is given byV(r) = k(23r2 - r3), 0 ? r ? 23, where k is some positive constant. For what size object is the maximum velocity needed to remove the object? Round answer to the nearest tenth, if necessary.
A. 16.3 B. 11.5 C. 7.7 D. 15.3