Write an equation for a function that has a graph with the given characteristics.The shape of y = ?x? is reflected across the y-axis. This graph is then vertically stretched by a factor of 5.7. Finally, the graph is shifted 7 units downward.

A. f(x) = 7?-x? - 5.7
B. f(x) = 5.7?-x? + 7
C. f(x) = -5.7?x? - 7
D. f(x) = 5.7?-x? - 7


Answer: D

Mathematics

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Solve the problem.A nutritionist is preparing a meal for a patient. The meal should contain 575 calories, 42.5 g of protein, and 370 mg of vitamin C. The nutritionist prepares a meal of roast beef, baked potatoes, and broccoli according to the data in the following table: How many servings of each food are needed in order to satisfy the requirements?

A. Roast beef: 1; baked potato: ; broccoli: 3
B. Roast beef: 1; baked potato: 1; broccoli: 3
C. Roast beef: ; baked potato: ; broccoli: 3
D. Roast beef: 1; baked potato: 1; broccoli: 3

Mathematics

Find the extreme values of the function subject to the given constraint.  

A. Maximum: 400 at    minimum: -400 at  
B. Maximum: 400 at    and    minimum: -400 at    and  
C. Maximum: 400 at    minimum: 0 at  
D. Maximum: 400 at    and    minimum: -400 at    and  

Mathematics

Solve.A person burns 11.3 calories per minute while walking. One must burn about 3500 calories in order to lose 1 lb. How many pounds would the person lose by walking for 3 hours? Round your answer to the nearest hundredth.

A. 0.41 lb B. 0.01 lb C. 5.81 lb D. 0.58 lb

Mathematics

Use simple probability to complete the exercises.A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5),  (5, 1),  (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}. Find the probability of getting two numbers whose sum is greater than 9.

A.  
B. 6
C.  
D.  

Mathematics