Write the ordered pair for each point shown in the xy plane.
A. A = (1, 3), B = (5, 3)
B. A = (5, 18), B = (3, -5)
C. A = (1, 5), B = (3, -5)
D. A = (1, 5), B = (-5, 3)
Answer: D
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Change the Cartesian integral to an equivalent polar integral, and then evaluate.
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Solve the problem.The amount of water in a leaky bucket is given by the linear function , where y is in ounces and x is in minutes. Find and interpret the slope and y-intercept of the linear equation.
A. m = -7; The amount of water in the bucket decreases 7 ounces every minute. At x = 0, the amount of water in the bucket was 127 ounces.
B. m = 7; The amount of water in the bucket increases 7 ounces every minute. At x = 0 the amount of water in the bucket was 127 ounces.
C. m = 127; The amount of water in the bucket decreases 127 ounces every minute. At x = 0, the amount of water in the bucket was 7 ounces.
D. m = 127; The amount of water in the bucket increases 127 ounces every minute. At x = 0, the amount of water in the bucket was 7 ounces.
Provide an appropriate response.To graph a linear equation of the form ax + by = c, which two points are usually used? Why is a third point recommended?
A. The origin and one of the intercepts; because a miscalculation of the intercept will be revealed if the third point is not on the line through the first and second points. B. The origin and one of the intercepts; to make sure that the intercept is on the line C. The x- and y-intercepts; because it takes three points to define a line D. The x- and y-intercepts; as a check
Write a system of equations to describe the problem situation. Use guess and check to solve the problem.
Two of the top-price tickets and five of the lowest-price tickets for a Tim McGraw concert cost $660. Three of the top-price and three of the lowest-price tickets cost $900. Find the cost of the top-price ticket. A) Top-price ticket costs $270. B) Top-price ticket costs $105. C) Top-price ticket costs $230. D) Top-price ticket costs $280. E) Top-price ticket costs $250.