An animal food company must produce 200kg. of a mixture consisting of ingredients x1 and x2 daily. x1 costs rs.3/-per kg. and x2 rs.8/-per kg. no more than 80 kg. of x1 can be used and at least 60 kg. of x2 must be used. formulate a lp. model to minimize the cost.

The table shows values for functions f(x) and g(x) . x f(x)=3x g(x)=2x+1 −2 19 −3 −1 13 −1 0 1 1 1 3 3 2 9 5 what is the solution to f(x)=g(x) ? select each correct answer.

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

The length of triangle base is 26. a line, which is parallel to the base divides the triangle into two equal area parts. find the length of the segment between triangle legs.