Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb (yz7)

A. 7 logb yz
B. 7 logb y + 7 logb z
C. logb y + 7 logb z
D. logb y + logb7z


Answer: C

Mathematics

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Solve using Cramer's rule.

A. (-1, 9) B. (0, 9) C. (0, 8) D. No solution

Mathematics

Define T: R2 ? R2 by T(x) = Ax, where A is the matrix defined below. Find the requested basis B for R2 and the corresponding B-matrix for T.Find a basis B for R2 and the B-matrix D for T with the property that D is an upper triangular matrix.A =  

A.
B = , D = 
B.
B = , D = 
C.
B = , D = 
D.
B = , D = 

Mathematics

The graph of an exponential function is given. Select the function for the graph from the functions listed.

A. f(x) = 2x + 1 B. f(x) = 2x + 1 C. f(x) = 2x - 1 D. f(x) = 2x

Mathematics

Provide an appropriate response.Give an example which demonstrates that subtraction is not commutative.

What will be an ideal response?

Mathematics