Write an equivalent expression. Use an associative law.a + (b + 7)

A. (b + 7) + a
B.  a + (7 + b)
C. (a + b) + 7
D.  a(b + 7)


Answer: C

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) = mx, m > 0, L = 6m, x0 = 6, and ? = 0.05

A. ? = 6 + 
B. ? = 6 - m
C. ? = 
D. ? = 0.05

Mathematics

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -  = 1

A. center at (0, 0)
transverse axis is x-axis
vertices at (-10, 0) and (10, 0)  
foci at (- 2, 0) and (2, 0)
asymptotes of y = - 5 and y = 5
B. center at (0, 0)
transverse axis is x-axis
vertices at (-2, 0) and (2, 0)  
foci at (-10, 0) and (10, 0)
asymptotes of y = - 5 and y = 5
C. center at (0, 0)
transverse axis is y-axis
vertices at (0, -2) and (0, 2)  
foci at (- 2, 0) and (2, 0)
asymptotes of y = - 5 and y = 5
D. center at (0, 0)
transverse axis is x-axis
vertices at (-2, 0) and (2, 0)  
foci at (- 2, 0) and (2, 0)
asymptotes of y = - 5 and y = 5

Mathematics

Add or subtract as indicated. Write the answer in simplest form.-  + 

A.
B. 1
C. 0
D. undefined

Mathematics

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation. 3x - 3 ? -12 or 3x - 3 ? 0

A. [-3, ?)
 
B. (-?, -3] ? [1, ?)
 
C. (-?, 1]
 
D. [-3, 1]
 

Mathematics