Answer:
No solution
Step-by-step explanation:
Simplify the left side.
−
3
x
−
10
=3
(
3
−
x
)
Simplify
3
(
3
−
x
).
−
3
x
−
10
=
9
−
3
x
Move all terms containing x to the left side of the equation.
−
10
=
9
Since
−
10
≠
9 , there are no solutions.
No solution
Area = 140
16 x 8 = 128
16-12 = 4
(6x4)/2 = 12
128 + 12= 140
Answer:
a) The demand function is

b) The nightly revenue is

c) The profit function is

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
Step-by-step explanation:
a) Lets find the slope s of the demand:

Since the demand takes the value 79 in 7, then

b) The nightly revenue can be found by multiplying q by p

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
Volume of the prism:
V = B · h, where B stays for the area of the base and h stays for the height of the prism. And we know that d1 = 8, d2 = 6
B = ( d1 · d2 ) / 2 = ( 8 · 6 ) / 2 = 48 / 2 = 24
V = 24 · 16 = 384
Answer:
The volume of the prism is 384 cubic units.
Answer:
<h3>Hope it helps...</h3><h3>have a great day/night</h3>