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On the production line, it takes John 2 minutes less time than Mark to assemble a watch. Working together they can assemble 5 watches in 12 minutes. How long does it take John to assemble a watch working alone?
Find the dimension of the solution space of the following homogenous system of linear equations
Deduce the sequence of transformations needed to create the graph of the function y=-3(x-3)^2 - 5.We would start with the absolute value function y = |x| and the sequence of transformations would be.
The population of a city is 50,000 in 2008 and is growing at a continuous yearly rate of 4.5%. Give the population of the city as a function of the number of years since 2008. Sketch a graph of the population against time.
Why are there usually two solutions in quadratic equations? Under what situation would one or more solutions of a rational equation be unacceptable?
a camp director expects 100 children to enroll at 350.00 but by giving a 20 decrease in price he expects 10 more to
A disk jockey can play 7 songs during his program. If there are 13 songs to chose from, in how many different orders can the song be arranged?
Apply the guidelines for Graphing Polynomials to graph
Find the vertex and intercepts of function f(x)=x2+x-2. Graph the linear equation y=2/3(x)-2. Find the x and y intercepts of 4x+3y=-12.
A high school purchases two workbooks for every textbook, and two journals for every workbook. If the school purchases 301 total items, how many of each do they need?
Solve the given system by the substitution method.4x + y = 217x - 2y = 18
Profit & loss problem of one variable quadratic equation.
FIND and PROVE a formula for the inverse hyperbolic tangent, arctanh(x). The formula should involve a natural logarithm. Also, check the answer by substituting the definition of tanh x into your inverse formula and simplify. Show all work please.
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