Provide the proper response.If two nonvertical lines have the same slope, they are
Fill in the blank(s) with the appropriate word(s).
Parallel
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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = 9
A. y = u9; u = 6x2 - - x;
= 9
8
B. y = u9; u = 6x2 - - x;
= 9
8
C. y = u9; u = 6x2 - - x;
= 9
8
D. y = 6u2 - - u; u = x9;
= 12x18 -
- x9
Express the set in the simplest interval form.(-2, 9] ? (0, ?)
A. (-2, 9] B. (-2, ?) C. [0, 9] D. (0, 9]
Solve the problem. POLLUTION Years since 1980Use the ordered pairs (2, 14.7), (6, 11.1), and (8, 12.3) to find a quadratic function that models the data. Round the values of a, b, and c to two decimal places.
A. y = -2.90x2 + 0.25x + 19.50 B. y = 0.25x2 - 2.90x + 19.50 C. y = -2.90x2 + 0.25x + 20.5 D. y = 2.9x2 - 0.25x + 19.50
Solve the problem.The strength S of a wooden beam with rectangular cross section is given by the formula S = kd3 sin2 ? cos ?where d is the diagonal length, ? the angle illustrated, and k is a constant that varies with the type of wood used. Let d = 1 and express the strength S in terms of the constant k for ? = 45°, 50°, 55°,
and 65°. Does the strength always increase as ? gets larger?
What will be an ideal response?