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Archeology Archeologists use coordinate grids to record locations of artifacts. Jonah recorded that he found one old coin at (41, 37), and a second old coin at (5, 2). Each unit on his grid represents 0.25 feet. How far apart were the coins? Round your answer to the nearest tenth of a foot.
Find the length t to the nearest tenth. √3
5
t
House Painting A house painter leans a 34-foot ladder against a house with the bottom of the ladder 7 feet from the base of the house. Will the top of the ladder touch the house above or below a windowsill that is 33 feet off the ground?
Graph the function y = 4x2.
Generalize What is the factored form of a2m + 2ambn + b2n?
Shopping Roger has $40 to buy CDs. The CDs cost $5 each. He will definitely buy at least 3 CDs. How many CDs can Roger buy? Use inequalities to solve the problems.
Multi-Step A summer school program has a budget of $1000 to buy T-shirts. TwentyfreeT-shirtswillbereceivedwhentheyplac_etheirorder.Thenumberof
1000
T-shirts y that the program can get is given by y = x + 20, where x is the price
per T-shirt.
a. What is the horizontal asymptote of this rational function?
b. What is the vertical asymptote?
c. If the price per T-shirt is $10, how many T-shirts can the program receive?
Suppose the area of a rectangle is represented by the expression 4x2 + 9x + 2. Find possible expressions for the length and width of the rectangle.
Simplify the expression 6√ 8 · √ 5.
608
Saxon Algebra 1
