Answer:
the answer is below
Step-by-step explanation:
Demand seems to be based on price.
Therefore we must consider two things:
that "x" is equal to the price and that "y" is equal to the average attendance.
Thus:
the two points would be:
(x1, y1) = (10,27000)
(x2, y2) = (6.39000)
The slope of a straight line is given by:
m = (y2-y1) / (x2-x1)
we replace:
m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000
The equation of a straight line can be expressed like this
y = m * x + b.
where
m is the slope and b is the y-intercept.
we replace
y = -3000 * x + b.
To solve for b, replace x and y with the value of one of the points on the line.
We choose (6.39000). and we replace:
39000 = -3000 * 6 + b
39000 = -18000 + b
39000 + 18000 = b
b = 57000.
if we replace we have:
the equation becomes y = -3000 * x + 57000
since it is the demand and * x is the price.
t = d (x), therefore the equation becomes
d (x) = -3000 * x + 57000.
d (x) = 57000 - 3000 * x.
when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.
So:
when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.
when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.
The demand function D(q) we are looking for is given by D(q) = -3q + 351,000.
We're looking for a linear demand function D(q) of the form D(q) = aq + b, where q is the quantity or number of spectators.
We have two pieces of information here:
1) When the ticket price is $10, the average attendance is 27000, which gives us the equation: 10 * 27000 = a * 27000 + b, i.e 270,000 = 27,000a + b.
2) When ticket price is lowered to $6, the average attendance rose to 39000, which gives us the equation: 6 * 39000 = a * 39000 + b, i.e 234,000 = 39,000a + b.
Let's solve this system of equations to find the values of a and b.
To isolate a, we can subtract the second equation from the first: 270,000 - 234,000 = 27,000a - 39,000a, this simplifies the equation to 36,000 = 12,000a.
So, we divide both sides by 12,000 to solve for a:
a = (270,000 - 234,000) / (27,000 - 39,000) = -3.
So, the coefficient of q in our demand function is -3.
Now, let's find b by plugging in the value of a into the first equation.
Thus, b is equal to 270,000 - (27,000 * -3), which gives
b = 270,000 + 81,000 = 351,000.
At this point, we have the values for our coefficients a and b as -3 and 351,000, respectively.
Therefore, the demand function D(q) we are looking for is given by D(q) = -3q + 351,000.
To know more about demand function:
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thank you sm!
Answer:
To find the composite function (f ◦ g)(x), we need to substitute g(x) into f(x) and simplify.
Given:
f(x) = x
g(x) = -2x + 3
To find (f ◦ g)(x), we substitute g(x) into f(x):
(f ◦ g)(x) = f(g(x))
Substituting g(x) into f(x), we get:
(f ◦ g)(x) = f(-2x + 3)
Since f(x) = x, we replace f(-2x + 3) with (-2x + 3):
(f ◦ g)(x) = -2x + 3
Therefore, the composite function (f ◦ g)(x) is -2x + 3.
Naomi has 43 red beads. 7 white beads times 6 equals 42. 42 plus 1 equals 43. Sometimes you just need to guess and check using common sense. Otherwise an equation would be x+(6x+1)=50, which would be 7x+1+50. Then you simplify to 7x=49 and get x=7. Then multiply by 6 and add 1 to get 43
Answer:
I got to say Post Malone.
Step-by-step explanation:
1. He isn’t afraid to be relatable:
2. He brings his quirks to his Interviews:
3. His music breaks multiple genres:
4. The success of his first album:
7. He’s only 22: