Answer: -1/2
Step-by-step explanation:
Answer:
adult tickets = 17, children tickets = 9
Step-by-step explanation:
Let x be the number of children and y the number of adults
Then given that 26 tickets are sold, we can write
x + y = 26 → (1)
Given that ticket cost was $194 we can write
5.5x + 8.5y = 194 → (2)
Rearrange (1) expressing y in terms of x by subtracting x from both sides
y = 26 - x → (3)
Substitute y = 26 - x into (2)
5.5x + 8.5(26 - x) = 194 ← distribute and simplify left side
5.5x + 221 - 8.5x = 194
- 3x + 221 = 194 ( subtract 221 from both sides )
- 3x = - 27 ( divide both sides by - 3 )
x = 9
Substitute x = 9 into (3) for corresponding value of y
y = 26 - 9 = 17
Hence number of adult tickets sold = 17
number of children tickets sold = 9

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.
Answer:
x-axis
Step-by-step explanation:
Answer:
1.
Part A: Yes, it is (a - b)².
Part B: a² - 2ab + b² => (x - 6)² = x² - 12x + 36.
Part C: x² - 12x + 36.
2.
Part A: Not a special product.
Part B: Binomial distribution => (x + 8)(x + 1) = x² + 9x + 8.
Part C: x² + 9x + 8.
3.
Part A: Yes, it is (a + b)²
Part B: a² + 2ab + b² => (3x + 2)² = 9x² + 12x + 4.
Part C: 9x² + 12x + 4.
4.
Part A: Yes, it is (a + b)(a - b), a difference of squares.
Part B: a² - b² => 4x² - 49
Part C: 4x² - 49
5.
Part A: Not a special product.
Part B: Binomial distribution => (x - 5)(2x - 5) = 2x² - 15x + 25.
Part C: 2x² - 15x + 25