Y = 3bx - 7x
y = x(3b - 7)
Assuming 3b - 7 ≠ 0, divide both sides by 3b - 7.
Solution:
Since this parabola intersects the center, its formula is:
y = ax². Given that it opens downward, the coefficient a must be negative.
Thus, the equation can be expressed as:
y = - ax², with the axis of symmetry located at x = 0.
The height measures 84 ft when the parabola's opening is 42 ft wide.
This indicates that for the height y, the corresponding x-values are +21 and -21 (due to symmetry).
To find a, let's substitute y and x with their respective values:
y = - ax²
84 = - a(21)²
84 = - a(441), leading to a = - 84/441 ↔ a = - 4/21.
Therefore, the final equation is: y = -4/21 x².
137 paquetes de vasos, aunque el último solo tiene 7 vasos, es necesario para asegurar que no queden sin empacar.
Answer:
The artist begins to profit when n > 8.18
That means the quantity of necklaces must exceed 8.18.
Step-by-step explanation:
Given
let n represent the number of necklaces
booth fee= $135
The expense for materials per necklace = $4.5n
the overall selling price for all necklaces = $12n
total costs= booth fee + material costs = $135 + 4.5n
profit = selling price - total costs
12n > 135 + 4.50n
By solving for n, we find
12n=135 + 4.50n
12n + 4.5n = 135
16.5n = 135
n = 135/16.5
n = 8.18
Hence, the artist achieves profits when n > 8.18.
