Answer:
12 ; 12 dollars
Step-by-step explanation:
Data provided in the question:
Revenue function, R = 12x
R is in dollars
Now,
The slope can be found out by differentiating the above revenue function w.r.t 'x'
thus,
=
or
slope = 12
Now, for the second case of selling one more unit i.e x = 1, the revenue can be obtained by substituting x = 1 in revenue function
therefore,
R = 12 × 1 = 12 dollars
Answer:
The length of each side is 4 m
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
64 = s^3
Take the cube root of each side
64 ^ (1/3) = s^3 ^ (1/3)
4 = s
The length of each side is 4 m
Total tickets sold = 800
Total revenue = $3775
Ticket costs:
$3 per child,
$8 per adult,
$5 per senior citizen.
Of those who bought tickets, let
x = number of children
y = number of adults
z = senior citizens
Therefore
x + y + z = 800 (1)
3x + 8y + 5z = 3775 (2)
Twice as many children's tickets were sold as adults. Therefore
x = 2y (3)
Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775 (5)
Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450
Answer:
The number of tickets sold was:
450 children,
225 adults,
125 senior citizens.
Answer:
p = -6.5
Step-by-step explanation:
<u>Given:</u>
<u>Solving for p:</u>
- 18+ 2 (3p – 8) = –37
- 18 + 6p - 16 = -37
- 6p + 2 = -37
- 6p = -37 - 2
- 6p = -39
- p = -39/6
- p = -6.5
Option 2 is correct in the list
C.
<span>Domain: {–4, 0, 8}; Range: {2, 1, 5, 10}
In the domain, there can only be values for which is possible for.
Like There is no 5 for the domain, because there is no x like that.
Hope this helps :)</span>
