If A = {1, 3, 5, 15}, B = {2, 3, 5, 7}, C = {2, 4, 6, 8} Then what is (A U B) ∩ C?
Firlakuza [10]
Answer:
![A\ u\ B\ n\ C = \{2\}](https://tex.z-dn.net/?f=A%5C%20u%5C%20B%5C%20n%5C%20C%20%3D%20%5C%7B2%5C%7D)
Step-by-step explanation:
Given
![A = \{1, 3, 5, 15\}](https://tex.z-dn.net/?f=A%20%3D%20%5C%7B1%2C%203%2C%205%2C%2015%5C%7D)
![B = \{2, 3, 5, 7\}](https://tex.z-dn.net/?f=B%20%3D%20%5C%7B2%2C%203%2C%205%2C%207%5C%7D)
![C = \{2, 4, 6, 8\}](https://tex.z-dn.net/?f=C%20%3D%20%5C%7B2%2C%204%2C%206%2C%208%5C%7D)
Required
Determine (A U B) ∩ C
First, we calculate A u B
![A\ u\ B = \{1,3,5,15\} \ u\ \{2,3,5,7\}](https://tex.z-dn.net/?f=A%5C%20u%5C%20B%20%3D%20%5C%7B1%2C3%2C5%2C15%5C%7D%20%5C%20u%5C%20%5C%7B2%2C3%2C5%2C7%5C%7D)
This means that we bring A and B together without repetition.
![A\ u\ B = \{1,2,3,5,7,15\}](https://tex.z-dn.net/?f=A%5C%20u%5C%20B%20%3D%20%5C%7B1%2C2%2C3%2C5%2C7%2C15%5C%7D)
Next:
![A\ u\ B\ n\ C = \{1,2,3,5,7,15\}\ n\ \{2,4,6,8\}](https://tex.z-dn.net/?f=A%5C%20u%5C%20B%5C%20n%5C%20C%20%3D%20%5C%7B1%2C2%2C3%2C5%2C7%2C15%5C%7D%5C%20n%5C%20%5C%7B2%2C4%2C6%2C8%5C%7D)
This means that we only get the common items
![A\ u\ B\ n\ C = \{2\}](https://tex.z-dn.net/?f=A%5C%20u%5C%20B%5C%20n%5C%20C%20%3D%20%5C%7B2%5C%7D)
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
graph y=x^2 and y=√x and y=x
graph is attached
gathmath
Answer:
6×10×12×16= ????? u must be fine the area of this cm ...
Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
- √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
- √9 simplifies to 3, so it is 3√5
Now we can simplify the operation in the parenthesis by combining like terms:
- 3√5 + √5
- √5 + √5 + √5 + √5
- 4√5
Now using the same rule as above, we can multiply the values:
Your solution is 4√10
X intercept : (5,0),(-3,0)
y intercept : (0,-15)
vertex: (1,-16)
i’m glad to help! mark me brainliest if i’m correct plss