A company makes video games. The price of a video game is modeled by the function p(x) = 30x + 2, where x is the number of years since the company started producing games. The number of video games they sell is modeled by the function s(x) = 500x + 250. To find the total revenue from their video games, the company should use what operation on the polynomials?

Addition

Subtraction

Multiplication

It cannot be determined

The volume of the prism is 927 cubic Inches.

This is defined as the measure of how much space there is within a three-dimensional object.

Area of Octagon A = 1/2 x apothem x perimeter

A= 1/2 x 4.83 x 4(8) = 77.28

Volume  = Area of the base × height

                = 77.28 x 12 = 927 cubic inches.

Read more about Volume of prism here https://brainly.com/question/23963432

To subtract[tex]\(\frac{11}{12} - \frac{5}{8}\), find a common denominator (24), then subtract numerators: \(\frac{11}{12} - \frac{5}{8} = \frac{7}{24}\)[/tex] in simplest form.

To subtract the fractions [tex]\(\frac{11}{12} - \frac{5}{8}\[/tex]), we need to find a common denominator.

The least common multiple (LCM) of 12 and 8 is 24.

Now, rewrite both fractions with the denominator 24:

[tex]\[\frac{11}{12} \times \frac{2}{2} = \frac{22}{24}\]\[\frac{5}{8} \times \frac{3}{3} = \frac{15}{24}\][/tex]

Now, subtract:

[tex]\[\frac{22}{24} - \frac{15}{24} = \frac{22 - 15}{24} = \frac{7}{24}\]So, \(\frac{11}{12} - \frac{5}{8} = \frac{7}{24}\)[/tex]

To cover 348 tiles when one bottle can cover 20 tiles, you divide 348 by 20 which equals 17.4, and then round up to 18 bottles since you can't buy a fraction of a bottle.

To determine how many bottles of paint are needed to cover 348 tiles when one bottle covers 20 tiles, you should divide the total number of tiles by the number of tiles that can be covered by one bottle. The calculation is as follows:

Divide 348 (the total number of tiles) by 20 (the number of tiles one bottle of paint can cover).

348 \/ 20 = 17.4

Since you can't buy a fraction of a bottle, you would need to round up to the next whole number. Therefore, you need 18 bottles of paint to cover all 348 tiles.

Answer:

kf(x)

Step-by-step explanation:

I got it right.

Final answer:

The system of equations 9x - 3y = 3 and 3x + 8y = -17 is solved using elimination. By multiplying the second equation by 3 and subtracting the first from the resulting equation, y is eliminated and found to be -2. Substituting y into one of the original equations then gives x as -1/3.

Explanation:

Solving a System of Equations by Elimination

To solve the system by elimination, we aim to eliminate one of the variables by combining the equations. We have the equations 9x - 3y = 3 and 3x + 8y = -17. Let's multiply the second equation by 3 to align the coefficients of x.

After multiplication, our system looks like this:

Now, subtract Equation 1 from Equation 2, which eliminates the x variable:

-3y - 24y = 3 - (-51)

-27y = 54

To find the value of y, divide both sides by -27:

y = -2

Now that we have y, we can substitute it back into one of the original equations to find x:

3x + 8(-2) = -17

3x - 16 = -17

3x = -1

x = -1/3

So the solution to the system is x = -1/3 and y = -2.

To round off or add zero to the calculated answer of 0.00001258 L and give a final answer with three significant figures, round up the last significant figure to 6.

In order to round off or add zero to the calculated answer and give a final answer with three significant figures, follow these steps:

To round off or add zero to the calculated answer to give a final answer with three significant figures, consider the following: For the value 0.00001258 L, the third significant figure is 5. Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the third significant figure. Therefore, the final answer is 0.0000126 L.

To round off or add zero to the calculated answer to give a final answer with three significant figures, consider the following:

For the value 0.00001258 L, the third significant figure is 5. Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the third significant figure. Therefore, the final answer is 0.0000126 L.

Answer:

the answer is a parabola

The line y = 4x + 2 is graphed and attached with the answer.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a equation that represents a line as -

y = 4x + 2

We can graph the given equation as shown in the figure attached.

Therefore, the line y = 4x + 2 is graphed and attached with the answer.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

On Saturday, 285 hamburgers were sold.

A simultaneous equation is anyone or more equations that can have the same number of unknowns and be solved concurrently. And an equation system is a simultaneous equation.

Given, a local hamburger shop sold a combined total of 510 hamburgers and cheeseburgers on Saturday.

Let x represents the number of hamburgers sold and y represents the number of cheeseburgers sold.

So, x + y = 510     {equation 1}

According to the question,

there were 60 more cheeseburgers sold than hamburgers.

x = y+ 60

We have a system of equations,

Substituting the value of x to the equation 1,

y+60+ y = 510

2y = 510 - 60

y = 450 / 2

y = 225

Then, x = 285

Therefore, 285 hamburgers were sold on Saturday.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2

Answer:

A

Step-by-step explanation:

The value of 'm' in the equation y=mx represents the slope of the line. However, without specific 'x' or 'y' values or a complete equation like y=mx+b, it is impossible to determine the value of 'm'.

The formula y=mx is the slope-intercept form of a linear equation where y is the dependent variable, m is the slope, and x is the independent variable. However, in this particular case, the equation provided is not complete in this form because there is no specific 'x' or 'y' value provided, and so it's not possible to calculate 'm' directly from this equation. Instead, in a more complete example, like y = 3x, you could identify 'm' as 3 by simply looking at the coefficient of 'x'. In order to clarify your equation, please provide either specific values of 'x' and 'y', or a complete equation in the format y = mx + b, where b is the y-intercept.

https://brainly.com/question/26464607

#SPJ2

Answer:

46

Step-by-step explanation:

Answer:  Option 'D' is correct.

Step-by-step explanation:

Since we have given that

sin 48° cos 15° - cos 48° sin 15°

As we know that,

[tex]\sin A\cos B-\cos A\sin B=\sin(A-B)[/tex]

So, we get that

[tex]A=48\textdegree\\B=15\textdegree[/tex]

Now, put it in the above expression.

[tex]\sin (A-B)=\sin(48-15)=\sin 33\textdegree[/tex]

Hence, Option 'D' is correct.

Answer:

Paul is 70 kg, John is 62 kg and David is 65 kg.

Step-by-step explanation:

Let x the mass for each person.

Paul = x

John is lighter than Paul, so John = x-8

David's mass is 5 kg less than John's, so David = x-5

Solution:

Make an equation.

x + (x-8) + (x-5) = 197

3x -13 = 197

3x = 197 + 13

3x= 210, then divide both side by 3, to get 70.

Do substitution to get a correct answer.

70+62+65= 197

197= 197