Answer:
r = sqrt[ ( -3 - (-6))^2 + (5-4)^2 ] = sqrt(3^2 + 1^2)= sqrt(10)
Step-by-step explanation:
Answer:
y=f(x)
y=5x
y=3x
are examples of function
Step-by-step explanation:
definition of a function
if there is one to one relation between a relation
then it is defined as a function
for example
y=5x is a function
because when we put some value of x it gives back only one value of y as output.
y=±5x is not a function because one value of x gives two values(positive and negative) values of y hence not a function.
5^-2 = .04
5^5 = 3125
.04 x 3125 x 5 = 625
The surface to be paint is 4 * 12*8.5= 408 ft squared
1 gallon.......75 ftsquared
x gallon.......408 ft squared
------------------------------------
x= 408/75= 5,44 gallons
Using the vertex of a quadratic function, it is found that:
a) The revenue is maximized with 336 units.
b) The maximum revenue is of $56,448.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
The demand function is given by:
p(x) = 336 - 0.5x.
Hence, the revenue function is:
R(x) = xp(x)
R(x) = -0.5x² + 336x.
Which has coefficients a = -0.5, b = 336.
Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
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