Suppose the number of leather bags produced by a certain firm, utilizing x units of raw materials and y units of labor, is given by the formula f(x, y) = 10x1/2y1/2. What happens to the production of bags if supplies of both raw materials and labor are tripled?
A. Production is increased by a factor of 9.
B. Production is increased by a factor of 6.
C. Production is increased by a factor of .
D. Production is increased by a factor of 3.
E. none of these
Answer: D
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Use the figure below to answer the following question(s).
The degree of vertex D is
A. .
B. 3.
C. 2.
D. 1.
E. none of these
Factor completely. If the polynomial cannot be factored, say it is prime.8x2 - 28x - 16
A. 4(2x - 1)(x + 4) B. (8x - 4)(x + 4) C. 4(2x + 1)(x - 4) D. prime
Solve.A bridge constructed over a river has a supporting arch in the shape of a parabola. The length of the road over the parabolic arch is 300 feet and the maximum height of the arch is 126 feet. Write the equation of the arch.
A. y = x2 + 126
B. y = x2 + 126
C. y = -x2 + 126
D. y = - x2 + 126
Find parametric equations for C, if C is the curve of intersection of the hyperbolic paraboloid z = y² - x² and the cylinder x² + y² = 4 oriented counterclockwise as viewed from above.
What will be an ideal response?