Mr. Cantu is selling snow cones. He used 26.72 ounces of ice to make 4.7 snow cones. If he used an equal amount of ice in each o
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Answer:
The answer is below
Step-by-step explanation:
The total revenue from the sale of a popular book is approximated by the rational R(x) = 1100x^2/x^2 + 4, where x is the number of years since publication and the total revenue in millions of dollars. Use this function to complete parts a through d. (a) Find the total revenue at the end of the first year. $ million (b) Find the total revenue at the end of the second year. $ million (c) Find the domain of function R. Choose the correct domain below. {x | x is a real number and x greaterthanorequalto 0} {x | x is a real number and x lessthanorequalto 5} {x | x is a real number and x notequalto 2, x notequalto 5} {x | x is a real number and x notequalto 2}
Solution:
Revenue is the total money made from the selling of a product or item.
a) Given the revenue function:
At the end of the first year (i.e. x = 1), the venue is given as:
b) At the end of the second year (i.e. x = 2), the venue is given as:
c) The domain of the function is the value of the denominator for which the value of the denominator is not zero
x² + 4 ≠ 0
The domain is {x| x is a real number and x ≥ 0}
Step-by-step explanation:
We are to get the expression for the following statements;
1) The difference of nine times a number x and the quotient of that number and 5.
The product of nine and a number x is expressed as;
The quotient of that number and 5.
The difference between both expression;
Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as
2) Eight more than the quotient of twelve and a number n
Quotient of twelve and a number n is expressed as:
Eight more than the resulting function is;
Hence eight more than the quotient of twelve and a number n is expressed as
3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.
Let the number be x:
six minus the number is expressed as;
product of a number x and the quantity 'six minus the number is;
quotient of eight and the number is;
Taking the resulting sum of the last two expression
Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;
4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).
Let the first even number be 2x
The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2
the sum of three consecutive even integers is expressed as;