(<em>A</em> ∩ <em>B</em>)' is the complement of <em>A</em> ∩ <em>B</em>, or the set of all elements in the universal set <em>U</em> that do not belong to <em>A</em> ∩ <em>B</em>.
<em>A</em> ∩ <em>B</em> is the intersection of <em>A</em> and <em>B</em>, or the set of all elements common to both <em>A</em> and <em>B</em>.
We have
<em>A</em> = {q, s, u, w, y}
<em>B</em> = {q, s, y, z}
so that
<em>A</em> ∩ <em>B</em> = {q, s, y}
Then
(<em>A</em> ∩ <em>B</em>)' = {r, t, u, v, w, x, z}
which makes (c) the answer.
Answer:
2nd graph (in the attached pics)
Step-by-step explanation:
Graphically, the <em>x-intercepts of the graph of a quadratic function are its zeroes. </em>
There can be
- no zeroes (where graph doesn't cut the x-axis at all),
- 1 zero (where graph touches the x-axis at one point only), and
- 2 zeros (where the graph cuts the x-axis at 2 points)
Looking at the figures, the 2nd graph has no real zeroes, <em>because the graph doesn't cut the x-axis at all!</em>
<em />
So, the answer is the second graph.
Answer: 75 feet
Step-by-step explanation:
From the question, we are informed that two similar rectangles have a scale factor of 3:2 and that the perimeter of the small rectangle is 50 feet.
The perimeter of the large rectangle measured in feet will be calculated as:
= 3/2 × 50
= 150/2
= 75 feet
48m^5n: 3*2^4*m^5n
81m^2n^2: 3^4m^2n^2
GCF: 3*m^2n
