MathDB

5

Part of 2003 AMC 10

Problems(2)

Root Product

Source:

1/2/2009
Let d d and e e denote the solutions of 2x^2\plus{}3x\minus{}5\equal{}0. What is the value of (d\minus{}1)(e\minus{}1)? (A)\ \minus{}\frac{5}{2} \qquad (B)\ 0 \qquad (C)\ 3 \qquad (D)\ 5 \qquad (E)\ 6
Vietaquadraticsalgebrapolynomial
Moeing the Lawn

Source:

1/4/2009
Moe uses a mower to cut his rectangular 90 90-foot by 150 150-foot lawn. The swath he cuts is 28 28 inches wide, but he overlaps each cut by 4 4 inches to make sure that no grass is missed. He walks at the rate of 5000 5000 feet per hour while pushing the mower. Which of the following is closest to the number of hours it will take Moe to mow his lawn? <spanclass=′latex−bold′>(A)</span> 0.75<spanclass=′latex−bold′>(B)</span> 0.8<spanclass=′latex−bold′>(C)</span> 1.35<spanclass=′latex−bold′>(D)</span> 1.5<spanclass=′latex−bold′>(E)</span> 3 <span class='latex-bold'>(A)</span>\ 0.75 \qquad <span class='latex-bold'>(B)</span>\ 0.8 \qquad <span class='latex-bold'>(C)</span>\ 1.35 \qquad <span class='latex-bold'>(D)</span>\ 1.5 \qquad <span class='latex-bold'>(E)</span>\ 3
geometry