A
substitute x = 3h into f(x)
f(3h) = 2(3h)² + 3(3h) - 4 = (2 × 9h²) + 9h - 4 = 18h² + 9h - 4
Let x: number of tickets that sold on Friday, y: number of tickets that sold on Saturday night
16x+28y=24232
x+y=1090
x=1090-y,
so 16(1090-y)+28y=24232
17440-16y+28y=24232
12y=6792
y=566. As a result, there will be 566 tickets sold on Saturday night. Hope it help!
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
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olve the d
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Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
brainly.com/question/26740257
Answer:
$1.75 cost of the funnel cake and $4.25 cost of the ice cream cone.
Step-by-step explanation:
x = cost of the ice cone cone
y = cost of the funnel cake
3x + 4y = 19.75 multiply (-2) ⇔ -6x - 8y = -39.50
5x + 8y = 35.25 do not change ⇔ +<u> 5x + 8y = 35.25</u>
-x = -4.25
x = 4.25 cost of the ice cream cone
Substitute into the second equation x = 4.25 and solve for y
5(4.25) + 8y = 35.25
21.25 + 8y = 35.25
8y = 14
y = 1.75 cost of the funnel cake
