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Consider the equation (x - 1)(x + 2) = 5(x - 1).
First, solve this equation by dividing each side of the equation by x-1.
Second, solve the equation by first "FOIL"ing the left side, then simplifying by bring all terms to the left side of the equation, and then finally solve using factoring.
Two motorcycles travel toward each other from cities that are about 665 km apart at rates of 110 km/hr and 80 km/hr. They started at the same time. In how many hours will they meet?
A rectangular room has a width of "w" feet and a length that is three feet more than twice the width. If the perimeter of the room is 69 feet, determine the dimensions of the room.
15 swallows flew 380 miles south to escape the cold. After resting for a day they flew another 800 miles towards the coast. How many miles did each swallow fly? How many did they fly altogether?
1. Write two ways of each algebraic expression in words. (a) m + 7 (b) z - 11 (c) 5 × a (d) b ÷ 9
Probabilities of Selecting Multiples of Fixed Numbers. Let N = 1000 and let S = {1, 2, ... , N}. Let D_i = {m belongs to S: i|m} for integers i between 1 and N.
The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travel 310 miles in the same time it takes the freight train to travel 260 miles. Find the speed of each train.
The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.22 mm.
Number probability Each of the numbers 0 through 22 is written on a piece of paper and all of the pieces of paper are placed in a hat
The percent concentration of a drug in the bloodstream x hours after administered is given by k(t)=t/(t^2+9). On what time interval is the concentration of the drug increasing?
How fast is the height of the water increasing when the water has filled 2 feet of the deep end?
find a linear programming problem consisting of only two constraints with one objective function.identify the decision
The following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x.
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