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Chapter 5: Problem 87
Explain how to solve a system of equations using the substitution method. Use \(y=3-3 x\) and \(3 x+4 y=6\) to illustrate your explanation.
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A person invested 6700 dollar for one year, part at 8%, part at 10%, and the remainder at 12% .$ The total annual income from these investments was 716 dollar. The amount of money invested at 12% was 300 dollar more than the amount invested at 8% and 10% combined. Find the amount invested at each rate.
Find the partial fraction decomposition of $$ \frac{4 x^{2}+5 x-9}{x^{3}-6 x-9} $$
write the partial fraction decomposition of each rational expression. $$ \frac{x^{2}+2 x+7}{x(x-1)^{2}} $$
On a recent trip to the convenience store, you picked up 1 gallon of milk, 7 bottles of water, and 4 snack-size bags of chips. Your total bill (before tax) was dollar 17.00 dollar. If a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs 2.00 dollar more than a bottle of water, how much does each item cost?
write the partial fraction decomposition of each rational expression. $$ \frac{x}{(x-3)(x-2)} $$
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