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Use algebra to solve these two simultaneous equations, Show each step of your working clearly. y = 6,5x + 40, y = 4,5x + 80 find x and y?
A cruise line offers a trip for $2000 per passenger. If at least 100 passengers sign up, the price is reduced for all the passengers by $10 for every additional passenger (beyond 100) who goes on the trip. The boat can accommodate 250 passengers...
dominic arrived at work and went behind the counter at the north end. as he faced out over the counter north was to his
If k = L = m = 0, explain why the system must be consistent. What can be said about the point of intersection of the three lines if the system has exactly one solution?
Sketch the parabola and find the vertex.
Let f(x) = x^p - alpha E F [x] be irreducible, and let alpha be a root of f in an extension field. Show that if F (alpha)/F is a Galois extension, then g(x) = x^p - 1 splits in the field F.
an aquarium holding african cichlids is 6 inches higher than it is wide. its length is 27 inches and its volume is 7560
If a,b are positive integers with greatest common divisor d and least common multiple m, show aZ+bZ=dZ and aZ intersect bZ=mZ
Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. How far does the tip of the minute hand travel during tha..
In your own words, explain the process of factoring a trinomial with a leading coefficient that is not equal to one. Why is this process more difficult than when the leading coefficient is equal to one?
Write a short paragraph on using variables as "place holders" for numbers. Explain why using variables is so important and explain the meaning of an equation as a sentence translated into the language of mathematics.
Create a rule such that f(x1,y2)=x2 and f(x2,y3) = x3. The rule must be such that after the sequence has been created, if you are given x3,y3,x2 and y1, then x1 and y2 can be determined i.e y2 = g(x2,x3)
A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do you have?" How many gold coins does the rich merchant have?
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