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kolezko [41]
2 years ago
7

HELP PLEASE?? picture included to understand the question

Mathematics
1 answer:
aleksklad [387]2 years ago
6 0

Answer:

$77, 456

Step-by-step explanation:

Let P(x) = profit

   P(x) = revenue - cost

⇒ P(x) = (952x - 0.68x²) - (-153x + 371450)

⇒ P(x) = -0.68x² + 1105x - 371450

Differentiate P(x)

⇒ P'(x) = -1.36x + 1105

Set P'(x) = 0 and solve for x:

⇒ -1.36x + 1105 = 0

⇒ 1.36x = 1105

⇒ x = 812.5

Therefore, maximum profit when x = 812.5

Substitute x = 812.5 into P(x):

P(812.5) = -0.68(812.5)²+ 1105(812.5) - 371450 = 77456.25

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The first step of simplifying the expression would be summing up the "i"s. They are separate ("+i" and "+5i") but you can still sum them up though they are apart. This is thanks to the commutative property of addition which allows summing the terms of an expression with several additions in whatever order it is prefered. Commutative means that the terms can be interchangeable. 
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3 years ago
A circle has a diameter of 12 units, and its center lies on the x-axis. what could be the equation of the circle? check all that
wariber [46]

The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle has a diameter of 12 units. Hence, radius = 12/2 = 6 units.

The center of the circle is at x axis (*, 0), the equation could be:

(x - 6)² + (y - 0)² = 6²

(x - 6)² + y² = 36

The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36

Find out more on equation at: brainly.com/question/2972832

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5 0
2 years ago
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3 years ago
Suppose that the functions p and q are defined as follows.
inessss [21]

The most appropriate choice for function can be given by

qop(3) =  \sqrt{15}+1

poq(3) =  2\sqrt{3} + 10

What is function?

A function from A to B is a rule that maps to each element of A a unique element of B.

A is called the domain of the function and B is called the co domain of the function.

We can do addition, subtraction, multiplication, division and composition on functions.

Let f and g be two functions

fog(x) = f(g(x)) and gof(x) = g(f(x))

This is known as composition of function.

Here,

p(x) = x^2 + 6\\q(x) = \sqrt{x} +1

qop(x) = q(p(x))

          =q(x^2+6)

          = \sqrt{x^2+6}+1

qop(3) = \sqrt{3^2+6}+1

          = \sqrt{15}+1

poq(x) = p(q(x))

          = p(\sqrt{x}+1)

          = (\sqrt{x}+1)^2+6

          = x + 1 + 2\sqrt{x} + 6

          = x + 2\sqrt{x} +7

poq(3) = 3 + 2\sqrt{3}  +7

               2\sqrt{3} + 10

               2\sqrt{3} + 10

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7 0
1 year ago
Richard mows 1/3 of his yard in 1/2 hour. how much of his yard would Richard mow in 1 hour
coldgirl [10]
Use decimals 1/3= 0.33 1/2=0.5 . 2/2= whole hour=1 multiply 1/3 times 2 and he would mow 0.66=2/6 of his yard in an hour.
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3 years ago
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