First, you have to represent each given set by listing their elements. Observe:
• D = {x | x is a whole number}
D = <span>ℤ
</span>D = {..., – 3, – 2, – 1, 0, 1, 2, 3, ...}
• E = {x | x is a perfect square between 1 and 9}
("between" does not include the boundaries)
E = {x | x is a perfect square, 1 < x < 9}
E = {x | x = k², k ∈ ℕ and 1 < x < 9}
E = {2²}
E = {4}
• F = {x | x is an even number, 2 ≤ x < 9}
F = {2, 4, 6, 8}
So,
D ∩ F
= {..., – 3, – 2, – 1, 0, 1, 2, 3, ...} <span>∩ {2, 4, 6, 8}
</span>
= {2, 4, 6, 8} ≠ {4, 6}
Therefore, that statement is false.
I hope this helps. =)
Answer:
x=71 and y=19
Step-by-step explanation:
First, we write out the first sentence as an equation. This is x+y=90. We also know that x=3y+14 because of the second sentence. Using this, we can substitute x in the first equation with what it is (3y+14). This makes the new equation 3y+14+y=90. Then, we collect like terms by adding the 'y's together - making 4y+14=90. We need to make the letters on one side and the numbers on the other. To do this, we subtract 14 from each side, making 4y=76. We want to find out what 'y' is by itself (not multiplied by four) so we divide each side by 4. This means that we have found out that y=19 because 76÷4=19. Now, it is time to solve x. Using our new knowledge that y=19, we can replace y in the equation x+y=90 with 19 so now we have x+19=90. This is the same as 90-19=x and we know that 90-19=71, so x must be 71. In conclusion, x=71 and y=19.
I hope this helps, have a great day!
85.8 is the answer to this question
Answer:
<em>2 and 6/10 </em>or<em> 2 and 3/5</em>
Step-by-step explanation:
qazxwsdcerfvtbgynhumjilkop
The kite will be 7 inches wide because to go from 8 to 28 you multiply by 3.5 so you do the same to the 2.Concluding that your answer will be 7 inches wide
