Algebra Help!?

Question

Refer to these sets for the questions below. A= (2,4,6,8) B= (1,3,5,9,11) C= (1,4,9)

1. Find. A U C.
A.(4)
B.(1,2,6,8,9)
C.(1,2,4,6,8,9)
D.(1,2,4,8,9)

2. Find. (B U C) upside down U A
A. ()
B.(1,4,9)
C.(1,2,4,6,8,9)
D.(4)

Simplify
3.(x^-4 y^-5 z^3)^-3

4. Select the letter of the pairs whose graphs are not perpendicular.

A. 2x-8y=9
12x-3y=7

B.3x+6y=8
y=2x-8

C.y=x-7
x+y=3

D.2y=3x+5
2x+3y=4

Answer 1

1. A ∪ C is the set of all elements that are in A or C or both. So it is {1, 2, 4, 6, 8, 9}.

2. (B ∪ C) ∩ A (note: you can use n for ∩)
= {1, 3, 4, 5, 9, 11} ∩ {2, 4, 6, 8}
This means the set of elements that are in both sets:
= {4}

3. (x^-4 y^-5 z^3)^-3 = (x^-4)^(-3) (y^-5)^(-3) (z^3)^(-3)
= x^(-4×-3) y^(-5×-3) z^(3×-3)
= x^12 y^15 z^-9.

4. A, since the first graph has gradient 1/4 and the second has gradient 4. Perpendicular lines have gradients that multiply to -1.

Answer 2

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