Solve the problem.A building has an entry with the shape of a parabolic arch 24 feet high and 4 feet wide at the base. Find an equation for the parabola if the vertex is placed at the origin of the coordinate system.

A. y2 = -0.2x
B. x2 = -0.7y
C. x2 = -0.2y
D. y2 = -0.7x


Answer: C

Mathematics

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The growth rate G, in hundreds of cases per day, in the spread of an epidemic depends on the number S, in hundreds, of currently sick individuals. The relationship is given by

?   . A:  Make a graph of G versus S. Include up to 4,000 currently sick people (corresponding to ).B:  There are two numbers of currently sick individuals that give a growth rate of 500 new cases per day (corresponding to ).  Find both of them.C:  When there are no sick individuals, the growth rate is 0.  There is a second level where the growth rate is 0. Find that number of currently sick people. ? Round your answer to two decimal places if necessary. What will be an ideal response?

Mathematics

Solve the equation by the method of your choice. Simplify irrational solutions, if possible.2x2 + 12x = - 3

A.
B.
C.
D.

Mathematics

Solve the problem.The following information on Company X appears in a stock table. Find the cost to purchase 80 shares of Company X at the day's closing price. Assume that the transaction is broker-assisted and includes typical discount broker's commissions as follows, using Firm B: 

A. $2650.55 B. $2662.59 C. $2651.55 D. $2617.60

Mathematics

Simplify the complex fraction.

A.
B.
C. 45y(y + 8)
D.

Mathematics