Use properties of logarithms to write the expression in terms of logarithms of x, y, z.log4   

A. 5 log4 x + 3 log4 y + log4 3
B. 5 log4 x - 3 log4 y - log4 3
C. (5 log4 x)(3 log4 y) - log4 3
D. 5 log4 x + 3 log4 y - log4 3


Answer: D

Mathematics

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A function f(x), a point x0, the limit of f(x) as x approaches x0, and a positive number ? is given. Find a number  such that for all x, 0 <  < ? ?  < ?.f(x) = 7x + 5, L = 19, x0 = 2, and ? = 0.01

A. 0.005 B. 0.007143 C. 0.002857 D. 0.001429

Mathematics

Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = -3x + 9y

A. Domain: all points in the xy-plane; range: all real numbers; level curves: lines  c > 0
B. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: lines  c ? 0
C. Domain: all points in the xy-plane; range: real numbers z ? 0 ; level curves: lines  c ? 0
D. Domain: all points in the xy-plane; range: all real numbers; level curves: lines 

Mathematics

Determine if the graph is symmetric with respect to the x-axis, y-axis, or origin.

A. y-axis B. y-axis, origin C. Origin D. x-axis, origin

Mathematics

Solve the problem.Let the supply and demand equations for a certain model of electric pencil sharpener be given by p = q and p = 18 - q ,where p is the price in dollars and q is the quantity of pencil sharpeners (in hundreds). Graph these equations on the same axes (graph the supply equation as a dashed line and the demand equation as a solid line). Also, find the equilibrium quantity and the equilibrium price.

A.

Equilibrium quantity: 950
Equilibrium price: $7
B.

Equilibrium quantity: 1350
Equilibrium price: $9
C.

Equilibrium quantity: 720
Equilibrium price: $10.80
D.

Equilibrium quantity: 1080
Equilibrium price: $7.20

Mathematics