The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?

Answers

Answer 1

Answer:

[tex]P(x) = 3x - 10[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 5x[/tex]

[tex]C(x) = 10 + 2x[/tex]

Required

Determine [tex]P(x) = (R - C)(x)[/tex]

In functions;

[tex](f - g)(x) = f(x) - g(x)[/tex]

So, we have:

[tex]P(x) = (R - C)(x)[/tex]

[tex]P(x) = R(x) - C(x)[/tex]

Substitute values for R(x) and C(x)

[tex]P(x) = 5x - (10 + 2x)[/tex]

Open bracket

[tex]P(x) = 5x - 10 - 2x[/tex]

Collect Like Terms

[tex]P(x) = 5x - 2x- 10[/tex]

[tex]P(x) = 3x - 10[/tex]


Related Questions

Help please, will mark you brainliest (Only if the answer is correct)

Answers

Answer:take numbers first, the Lcm is 24

Consider x, the highest power is 2

y, the highest power is 3

and z has 2 as its highest power.

:. The lcm is 24 x^2y^3z^2

Step-by-step explanation:

Answer:

this is me with another account, adding another anser just to mark you brainliest lol

Step-by-step explanation:

Which is the solution of this system of equations?
y=5x-8
3y=x+18
Answers:
x=7, y=3 x=4, y=12
x=3, y=7 x=0, y=6

Answers

Answer:y=12

Step-by-step explanation:

Answer:

y=12

Step-by-step explanation:

i hope it was helpful

Algerba 1 (polynomials) plss help

Answers

Answer:

Step-by-step explanation:

the coefficient is the number that is multiplied by x² so is 17

the constant term is the one without any x ( it does not change when x changes) so is -13

describe the horizontal and/or vertical shifts used to transform the equation y=|x| to the equation y=|x|+4

Answers

It will move 4 to the right horizontally

What are the solutions to 3n-1> 8 or 4n+3 < -1 ?

how would you write it in interval notation?

HELP ASAPPP PLZZZ​

Answers

Step-by-step explanation:

3n - 1 > 8 or 4n + 3 < -1

3n > 9 or 4n < -4

n > 3 or n < -1

Solution set: (-∞, -1) U (3, ∞).

convert 4 miles to feet
A. 21,120
B. 21,000
C. 22,000
D. 20,210

Answers

Answer: A. 21,120

Step-by-step explanation: Good luck! :D

The correct answer is A
A. 21,120

Please helppp meeeeeeeeeeeeeeeseseeedeeeeeee

Answers

Answer:

The solution x > 10 can be represented in two ways such as:

Interval Notation:        (10, ∞)Inequality Notation:     x > 10

Step-by-step explanation:

Let 'x' be the solution to the inequality

From the given line, it is clear that

x > 10

It means the value of x is greater than 10, which means the solution contains all the positive real numbers greater than 10.

From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 10 number.

The number 10 is not included; thus the number line indicates an open circle on 10, meaning 10 is not include in the solution.

Thus, the solution x > 10 can be represented in two ways such as:

Interval Notation:        (10, ∞)Inequality Notation:     x > 10


Find the equation of the straight line which passes through the point (2,3) and is
inclined at 30° to the positive direction of the x-axis.

Answers

Answer: y = 1.73*x - 0.46

Step-by-step explanation:

For a linear equation of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:

Tan(A) = a.

in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:

A + 30° = 90

A = 90° - 30° = 60°

Then the slope is:

a = Tan(60°) = 1.73

Then we have the equation:

y = 1.73*x + b

And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.

3 = 1.73*2 + b

3 - 1.73*2 = b = -0.46

Then the equation is:

y = 1.73*x - 0.46

HELLLPPP PLSSSSS(don’t answer if you aren’t serious this is important)

Answers

9514 1404 393

Answer:

∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠V

Step-by-step explanation:

The following angles are equivalent:

  Q = U = 45°

  R = T = W = 225°

  S = V = 90°

  X = 135°

Reflection, any rigid transformation, or any uniform dilation will not change the measures of the angles. That is, U = U', for example.

So, the true angle statements are ...

∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠V

The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.

Answers

Answer:

The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.

Step-by-step explanation:

The volume of the cylinder without the prism can be defined as the volume of the entire cylinder ([tex]V_{cy}[/tex]), measured in cubic centimeters, minus the volume of the prism ([tex]V_{pr}[/tex]), measured in cubic centimeters. That is:

[tex]V = V_{cy}-V_{pr }[/tex] (1)

[tex]V = \frac{\pi}{4}\cdot D^{2}\cdot h - l^{2}\cdot h[/tex]

[tex]V = \left(\frac{\pi}{4}\cdot D^{2}-l^{2} \right)\cdot h[/tex] (2)

Where:

[tex]D[/tex] - Diameter of the cylinder, measured in centimeters.

[tex]l[/tex] - Side of the square prism, measured in centimeters.

[tex]h[/tex] - Height of the square prism, measured in centimeters.

If we know that [tex]D = 2\,cm[/tex], [tex]l = 0.6\,cm[/tex] and [tex]h = 6\,cm[/tex], then the volume of the cylinder without the prism is:

[tex]V = \left[\frac{\pi}{4}\cdot (2\,cm)^{2}-(0.6\,cm)^{2} \right]\cdot (6\,cm)[/tex]

[tex]V \approx 16.690\,cm^{3}[/tex]

The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.

Tell whether the equation has one solution, no solution, or infinitely many solutions. 3x - 7 = 3(x - 3) + 2​

Answers

Answer:3x-7=3(x-3)+2

3x-7=3x-9+2

3x-7=3x-7

Group like terms

3x-3x=-7+7

0=0

Step-by-step explanation: the above calculations implies that, the equation has no solution, since all the unknown variables also vanish to zero.

.......... .. ........ I..

Answers

What but what’s even the question
.......... | ..... | .. |

A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but
then the store advertised a 30% markdown on the system. Answer parts a and b.
a. Find the current sale price.
The sale price is $0
Round to the nearest cent as needed.)
NEEED HELP ASAP

Answers

Answer: a. The sales price $568.40

b.the price for the club members is $511.56

Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u

Which could be the degree of the function represented by the graph?
A. 5
B. 1
C. 3
D. 4

Answers

Answer:

C

Step-by-step explanation:

What is a power function and what restrictions does it have?

Answers

Answer:

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JJ

Answers

Answer:

its

Step-by-step explanation:

i cant explane

PLEASE DUE IN 5 MIN
Charlie is trying to choose between two bike rental companies, Jokes and Spokes and Wheeling. Jokes and Spokes charges $25 initial fee and an additional $5 for each hour rented. Wheeling charges an initial fee of $18 and an additional $6 for each hour rented.

The total cost to rent a bike from Jokes and Spokes can be represented by the equation c = 5h + 25, where h represents the number of hours rented and y represented the cost in dollars.

The total cost to rent a bike from Wheeling can be represented by the equation c = 6h +18, where h represents the number of hours rented and y represented the cost in dollars.

For how many hours of rental is the amount charged by the two companies the same? What is the cost, in dollars, of renting the bike for this many hours?

Answers

7 hours and $60

Step-by-step explanation:

25+5x7=60 and 18+6x7=60

Use SUBSTITUTION to solve the system
y=4x
2y-2x=12

Answers

1 Substitute
y
=
2
x

10
y=2x−10 into
y
=
4
x

8
y=4x−8.
2
x

10
=
4
x

8
2x−10=4x−8

2 Solve for
x
x in
2
x

10
=
4
x

8
2x−10=4x−8.
x
=

1
x=−1

3 Substitute
x
=

1
x=−1 into
y
=
2
x

10
y=2x−10.
y
=

12
y=−12

4 Therefore,
x
=

1
y
=

12



x=−1
y=−12

(2, 5) and (-4, 5)
If these points are graphed on a coordinate plane, what is the distance between them, in units?

Answers

Answer:6 units

Step-by-step explanation:

) What are the solutions of -1<=x-3<4 ?​

Answers

The solutions are 1!42

question : fine the location of points a after a translation of 9 units up? Can someone please help me ?

Answers

Answer:

(-1,3)

Step-by-step explanation:

count 9 up

Answer: -1,3 not sure

Step-by-step explanation:

help me out? please !

Answers

Answer:

trapezoid

Step-by-step explanation:

please please please help​

Answers

Answer:

See below.

Step-by-step explanation:

Slope of parallel line is -3/2.

Slope of perpendicular line is 2/3

Answer

see below

step-by-step explanation
slope of parallel lines is -3/2.
Slope of Perpendicular line is 2/3.

Darron bought a new PS5. He made a down payment of $300, and he will pay $50 each month until the phone is paid off. Which equation represents the relationship between x, the number of monthly payments Darron has made, and y, the total amount he has paid?
A. y= 50x + 300

B. y= -50x + 300

C. x= 50y + 300

D. y= 50x – 300

Answers

Answer:

A

x=months y=total payment

vote brainliest

Which of the following is true of the data set represented by the box plot?
box plot with point at 16, min at 33, Q1 at 40, median at 52, Q3 at 55, max at 78, and point at 86
The greatest value in the set is 79.
The data is evenly distributed throughout the middle half.
The data has an IQR of 45.
Removing the outliers would not affect the median.

Answers

Answer:

D. Removing all the outliers would not effect the median

Step-by-step explanation:

Among the choices provided above the one that is true of the data set represented by the box plot is Removing the outliers would not affect the median.

(credits to  

Maddycolgrove and Answer Expert Verified Brainly User)

If the diameter of a circle is 80m, then what is the radius of the circle

Answers

Answer:

40m

Step-by-step explanation:

Radius is half of diameter

What is the value of the expression 3x2 – 2y, if x - -2 and y = -4. 0 20 52 O-8 02​

Answers

Answer:

I think the answer is 20....I'm so sorry if that is wrong :[

The given expression at {x} = - 2 and {y} = -4 evaluates to 20.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the expression -

3x² - 2y

The given equation is -

3x² - 2y

For {x} = - 2 and {y} = -4, we can evaluate the expression as -

3(-2)² - 2(-4)

3 x - 2 x - 2 - 2 x - 4

3 x 4 + 8

20

Therefore, the given expression at {x} = - 2 and {y} = -4 evaluates to 20.

To solve more questions on functions, visit the link below-

brainly.com/question/30194223

#SPJ7

Help pls yall i will give brainliest

Answers

Answer:

B.

Step-by-step explanation:

24/80 expressed as percent rounded to the nearest whole number is?

Answers

Answer:

0.3

Step-by-step explanation:

3/10

3x10^-1

24 is 30% of 80, so 30%

the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? ​

Answers

Answer:

H = 11.3 or 11.4

Step-by-step explanation:

[tex]\frac{11sin46}{sin44}[/tex] = 11,3908...

[tex]\frac{11sin46}{sin44}=11,3[/tex]

(Im not sure)

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