Use an algebraic approach to solve the problem:A board 20 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board. 

A. 20 feet
B. 4 feet
C. 12 feet
D. –4 feet
E. 8 feet


Answer: E

Mathematics

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Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.223, 225, 300, 291, 289, 267, 171, 166, 141

A. 60.3 B. 28.8 C. 56.8 D. 64.4

Mathematics

Write the function in standard form and find the vertex.f(x) = x2 - 14x + 2

A. f(x) = (x - 7)2 - 47; (7, -47) B. f(x) = (x - 7)2 - 145; (7, -145) C. f(x) = (x + 7)2 + 149; (-7, 149) D. f(x) = (x + 14)2 + 394; (-14, 394)

Mathematics

Provide an appropriate response.Find the derivative of y = 5x(x2 - 3x) by using the Product Rule and by rewriting and then using the Constant Multiple Rule. Show that your answers are equivalent.

What will be an ideal response?

Mathematics

Solve the problem.Use the table to find the Monday close for Good.

A. 26
B. 26
C. 27
D. 27

Mathematics