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Questions in mathematics
[Done] Consider the quadratic equation \( y = -3x^2 - 2x + 4 \). A. Find the value of the discriminant. B. How many real roots does the equation have? C. Does the vertex of the graph of the equation lie above, on, or below the x-axis?
[Done] You made lemonade and iced tea for a school fair. You made 15 gallons of lemonade and 60% is gone. About 52% of the iced tea is gone. The ratio of gallons of lemonade to gallons of iced tea was 3:2. a. How many gallons of lemonade are left? b. How many gallons of iced tea did you make? c. About how many gallons of iced tea are left?
[Done] Because of the unexpected cold weather, the cost of tomatoes increased by 50 percent in one month. If the cost after the increase was 60 cents per pound, what was the cost before the increase?
[Done] An accurate clock shows exactly 3:00 PM. In how many minutes will the minute hand catch up with the hour hand?
[Done] Solve \(\frac{4}{x + 1} - \frac{1}{x} = 1\) over the real numbers.
[Done] You got the following scores on 3 tests: 84, 82, 98. What score must you get on the 4th test if you want to average a 90% for the 4 tests? A. 94 B. 95 C. 96 D. 97 E. 98
[Done] Find two numbers that add up to 180.
[Done] Which of the following linear equations, when graphed on a coordinate grid, has the steepest slope? A. [tex]y = \frac{1}{4}x - 7[/tex] B. [tex]y = \frac{7}{3}x - 2[/tex] C. [tex]y = 9x + \frac{2}{3}[/tex] D. [tex]y = 6x + \frac{5}{9}[/tex]
[Done] The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse? A. 42.5 centimeters B. 65 centimeters C. 9.2 centimeters D. 35 centimeters
[Done] Val walks \( \frac{2}{3} \) miles each day. Bill runs 10 miles once every 4 days. In 4 days, who covers the greater distance?
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