The maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
<h3>How to determine the difference?</h3>
The function is given as:
f(x) = -0.5x^2 + 5x - 6
Differentiate the function
f'(x) = -x + 5
Set to 0
-x + 5 = 0
Make x the subject
x = 5
Substitute x = 5 in f(x)
f(5) = -0.5 * 5^2 + 5 * 5 - 6
f(5) = 6.5
The table is not given.
Hence, the maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
Read more about quadratic functions at:
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Answer: x = -1 and y = 5
Step-by-step explanation:
7x + 3y = 8 ........................... equation 1
4x - y = - 9 ............................ equation 2
Solving the simultaneous linear equation by substitution method , make y the subject of the formula from equation 2 , we have
y = 4x + 9 ............................. equation 3
substitute y = 4x + 9 into equation 1 , we have;
7x + 3 ( 4x + 9 ) = 8
7x + 12x + 27 = 8
19x + 27 = 8
subtract 27 from both sides
19x = -19
divide through by 19
x = -1
substitute x = -1 into equation 3 , we have
y = 4 ( -1) + 9
y = -4 + 9
y = 5
Therefore :
x = -1 and y = 5
M = 9
7 times 9 equals 63 and then you add 8 it equals 71.
7x9=63+8=71
You will need 3.333.... cups of rice to make 10 servings of casserole.
<u><em>Explanation</em></u>
The recipe which makes 6 servings of casserole, needs 2 cups of rice.
Suppose, you need 
cups of rice for making 10 servings of casserole.
Now, the equation according to <u>the ratio of "cups of rice" to the "servings of casserole" </u>will be.....
So, you will need 3.333.... cups of rice to make 10 servings of casserole.
The region that covers 23 km^2 has population of 1380 people
Step-by-step explanation:
The population is calculated using population density by multiplying the population density with the area.
Here,
Population density = d = 60 people per kilometer^2
Area = a = 23 km^2
So,
The region that covers 23 km^2 has population of 1380 people
Keywords: Population, Density
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