Answer:
O U ⊆ A ∪ B True
O U ⊆ A ∩ B False
O A ∪ B ⊆ U True
O B ⊆ U True
O A ⊆ U True
O A ∩ B ⊆ U True
Step-by-step explanation:
To prove the first part
Remember that any set is a subset of the universal set. Therefore it is true that
Now, given any 
it is true that
Now according to the information given initially
And then you know that
Therefore 
and using double inclusion
.
Now using the information just exposed
O U ⊆ A ∪ B True
O U ⊆ A ∩ B False
O A ∪ B ⊆ U True
O B ⊆ U True
O A ⊆ U True
O A ∩ B ⊆ U True
Solve by using the quadratic formula.
x=1+-i√5 / 6
Answer:
Step-by-step explanation:
<u>Standard for of quadratic equation:</u>
<u>We have </u>
<u>Sum of the roots </u>
- x₁ + x₂ = - b/a = -(-5)/2 = 2.5
<u>Product of the roots </u>
<u>We have:</u>
<u>The square of the above is:</u>
- (x₁ - x₂)² = (x₁ + x₂)² - 4x₁x₂
<u>Substitute known values and solve for c:</u>
- 0.25² = (2.5)² - 4(c/2)
- 2c = 6.25 - 0.0625
- 2c = 6.1875
- c = 3.09375
Answer:
30 dollars
Step-by-step explanation:
they give you the equation already of E(h) = 10h with h being hours. So, if she tutors for 3 hours then 10(3) would equal 30 dollars.
