Answer:
Step-by-step explanation:
The same space of this experiment is the possible outcomes of selecting two out of the three breakfast. let the sample space = B
the sample space = {(cereal and egg), (cereal and fruit), (fruit and egg), (fruit and cereal), (egg and fruit), (egg and cereal)}
b) A = {(cereal and egg), (cereal and fruit), (egg and cereal), (fruit and cereal)}
A ⊆ B =n(A) ≤ n(B) (4≤6) = {(cereal and egg), (cereal and fruit), (egg and cereal), (fruit and cereal)} ⊆{(cereal and egg), (cereal and fruit), (fruit and egg), (fruit and cereal), (egg and fruit), (egg and cereal)} where a subset means all the element of A can be found in B.
Answer:
A. 2.2402
Step-by-step explanation:
Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 10 x = 24 ( subtract 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2, since
- 12 × 2 = - 24 and - 12 + 2 = - 10, thus
(x - 12)(x + 2) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
x + 2 = 0 ⇒ x = - 2
Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:
You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:
2. Substitute it into the first equation and solve for "m":
3. Substitute the value of "m" into and evaluate, in order to find the value of "o". This is:
<span>1 - 2.25x</span>⁸ =
1² - (1.5x⁴)² =
(1 + 1.5x⁴)(1 - 1.5x⁴)
