3. The amount of junk mail received in one week by residents of a suburban town can be modeled by the quadratic function mx)=-x² +30x+100, where m(x) is the number of pieces of junk mail (in thousands) and x is the number of years after 1980. Be careful with units! Assuming this model continues to hold, in what years are the number of pieces of junk mail expected be 300 thousand? Show your work, and round to the nearest year.

Q: context of the problem. For the KORIK company, the monthly profits obtained by spending x dollars…

A: Given query is to find the x for maximum profit.

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A:

Q: Determine the quadratic function f whose graph is given.     The vertex is (3,−4) and the other…

A: Given :- The vertex is (3,−4) and the other given point is (2,-1).

Q: Graph the following quadratic function and determine its domain and range .   f(x) = ( x + 2)^3

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Q: The population of a certain country was approximately 75 million in 1900, 175 million in 1950, and…

A: We have to find quadratic equation and population in 2050

Q: The fuel efficiency y (in miles per gallon) for a certain fullsize car at various speeds x (in miles…

A: The fuel efficiency y (in miles per gallon) for a certain fullsize car at various speeds x (in miles…

Q: The table shows projections for the female population of a country (in millions). Year Female…

A: The objectives are to  1) Estimate a quadratic function fx=ax2+bx+c that gives female population in…

Q: The population of a certain country was approximately 50 million in 1900, 150 million in 1950, and…

A: Given that the data The population of a certain country was approximately 50 million in 1900, 150…

Q: f(x)=(x-6)²-2 a. f(x)=(x-2)²-6 f(x)=(x+6)²-2 f(x)=(x+2)²+6 b. C. d.

A: We have to match the graph with the equation.

Q: Ms. Miranda runs a cookie and cupcake business. When she sells “x” items per year, the income is…

A:

Q: Find a formula for the quadratic function with a vertex of (5,0) while f(6)=2

A: Given,           A formula for the quadratic function with a vertex of 5,0 while f6=2.We know that,…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.