Find the x- and y-intercepts of f.f(x) = (x - 2)(x - 6)

A. x-intercepts: -2, -6; y-intercept: 12
B. x-intercepts: 2, 6; y-intercept: -8
C. x-intercepts: -2, -6; y-intercept: -8
D. x-intercepts: 2, 6; y-intercept: 12


Answer: D

Mathematics

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Graph.y2 - x2 - 4y + 12x - 57 = 0  

A.

B.

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D.

Mathematics

Solve the problem. Round to two decimal places unless otherwise indicated.In the following formula, y is the minimum number of hours of studying required to attain a test score of x: y = . How many hours of study are needed to score 86?

A. 5.58 hr B. 2.97 hr C. 100.91 hr D. 29.70 hr

Mathematics

Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?

A. 0.714 B. 0.222 C. 0.5 D. 0.2

Mathematics

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry.f(x) = 3(x + 2)2 - 5

A. vertex: (-2, -5)
axis of symmetry: x = -2
 
B. vertex: (-5, -2)
axis of symmetry: x = -5

C. vertex: (5, 2)
axis of symmetry: x = 5
 
D. vertex: (2, -5)
axis of symmetry: x = 2
 

Mathematics