Answer:
68003
Step-by-step explanation:
The answer is: 2 times taller than the person
Explanation: 6/15=height of lamp/(15+15); 6/15=height of lamp/30; height of lamp=(30/15)6=2×6, 2 times taller.
(Lamp is 12 feet tall)
I think you meant to say

and not "4 times y" on the right side (which would lead to a complex value for y when x = 0). Note that when x = 0, the equation reduces to ln(y) = 0, so that y = 1.
Implicitly differentiating both sides with respect to x, taking y = y(x), and solving for dy/dx gives


Note that when x = 0 and y = 1, we have dy/dx = 3.
Differentiate both sides again with respect to x :

No need to simplify; just plug in x = 0, y = 1, and dy/dx = 3 to get

Answer:
Sabrina bought 6 yellow bananas and 3 green bananas
Step-by-step explanation:
Let
Green bananas = x
Yellow bananas = y
Green bananas = $14.00
Yellow bananas = $12.00
Total cost = $114.00
x + y = 9 (1)
14x + 12y = 114 (2)
From (1)
x = 9 - y
Substitute x = 9 - y into (2)
14(9 - y) + 12y = 114
126 - 14y + 12y = 114
- 14y + 12y = 114 - 126
-2y = -12
Divide both sides by -2
y = -12 / -2
= 6
y = 6
Substitute y = 6 into (1)
x + y = 9
x + 6 = 9
x = 9 - 6
= 3
x = 3
Sabrina bought 6 yellow bananas and 3 green bananas
The least amount an artist could show is 2 (since they have to show more than 1)
30 / 2 = 15
15 artists could be featured