Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log3

A. 5log3x + 7log3y
B. 7log3y - 5log3x
C. log3
D. 5log3x - 7log3y


Answer: D

Mathematics

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Solve the equation .  Restrict your attention to the horizontal span of 0 to 10. Round your answer to two decimal places if necessary. ?

A. 8.07 B. 6.36 C. 5.38 D. 7.13

Mathematics

Motorville Auto Parts pays salespeople as follows: $488 per week plus a commission of 1.1% on sales above $15,000 through $25,000 with 1.4% paid on sales in excess of $25,000. Find the gross earnings of the salesperson. (No commission is paid on the first $15,000 of sales.)EmployeeTotal SalesJohnson, S.$22,400

A. $734.40 B. $569.40 C. $81.40 D. $1302.00

Mathematics

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(x + 4)2 - 9(y + 2)2 = 9

A. center at (-2, -4)
transverse axis is parallel to x-axis
vertices at (-5, -4) and (1, -4)
foci at (-2 - , -4) and (-2 + , -4)
asymptotes of y + 4 = - (x + 2) and y + 4 = (x + 2)
B. center at (-4, -2)
transverse axis is parallel to x-axis
vertices at (-5, -2) and (-3, -2)
foci at (-4 - , -2) and (-4 + , -2)
asymptotes of y + 2 = - 3(x + 4) and y + 2 = 3(x + 4)
C. center at (-4, -2)
transverse axis is parallel to y-axis
vertices at (-4, -5) and (-4, 1),
foci at (-4, -2 - ) and (-4, -2 + ),
asymptotes of y - 2 = - 3(x - 4) and y - 2 = 3(x - 4)
D. center at (-4, -2)
transverse axis is parallel to x-axis
vertices at (-7, -2) and (-1, -2)
foci at (-4 - , -2) and (-4 + , -2)
asymptotes of y + 2 = - (x + 4) and y + 2 = (x + 4)

Mathematics

Use the zero-product property to solve the equation.2x(y - 11) = 0

A. x = 0 or y = ± 11
B. x = 0 or y = 11
C. x = 0 or y = - 
D. x = 0

Mathematics