if f(x) = 3x-2 and g(x) =2x+1 find (f+g)(x)
A. 5x-1
B. 5x-3
C. x-1
D. x-3​

Answers

Answer 1
I think it is c because x-1 is true

Related Questions

You are given three dairy products to incorporate into a dairy plant. You need to understand how each fluid will flow, so you measure their rheological properties, I determine the relationship between shear stress and shear rate for each fluid. Based on the relationships shown below, identify each fluid as a Newtonian fluid, Bingham plastic, or Power-Law fluid. If you identify any as Power-Law fluids, also identify whether they are shear-thinning or shear-thickening fluids. Type of fluid a. t = 1.13 dy0.26 b. t = 4.97 + 0.15 du dy C. T = 1000 du dy

Answers

To identify each fluid as a Newtonian fluid, Bingham plastic, or Power-Law fluid, we need to analyze the relationships between shear stress (τ) and shear rate (du/dy) for each fluid.


a. For the first fluid, the relationship is given as t = 1.13 dy^0.26.

Since the exponent (0.26) is less than 1, this indicates that the fluid follows a Power-Law behavior. To determine if it is shear-thinning or shear-thickening, we can look at the value of the exponent.
If the exponent is less than 1, it indicates shear-thinning behavior. In this case, the exponent is 0.26, which is less than 1. Therefore, the first fluid is a Power-Law fluid and it is shear-thinning.


b. For the second fluid, the relationship is given as t = 4.97 + 0.15 du/dy.
This relationship is not in the form of a Power-Law or Bingham plastic. It is a linear equation with a constant term (4.97) and a coefficient (0.15) multiplying the shear rate (du/dy). Therefore, the second fluid is a Newtonian fluid.


c. For the third fluid, the relationship is given as T = 1000 du/dy.
This relationship is also not in the form of a Power-Law or Bingham plastic. It is a linear equation with a coefficient of 1000 multiplying the shear rate (du/dy). Therefore, the third fluid is also a Newtonian fluid.

To summarize:
- The first fluid is a Power-Law fluid and it is shear-thinning.
- The second and third fluids are Newtonian fluids.

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T is the midpoint SU find

T is the midpoint SU find

Answers

Answer: x = 5.5

Step-by-step explanation: Since a midpoint divides a segment into two congruent segments, ST and TU are congruent to each other.

This means that you can set up the equation 14x-6=12x+5 to isolate x. x=5.5

hii please help asap ill give brainliest thanks

hii please help asap ill give brainliest thanks

Answers

Answer:

robes were embroidered with strands of gold.

Step-by-step explanation:

based on archeological evidence

38. Evaluate the expression below for
x = 4
6(x + 7)
A 24 B 31 C 42 D 66

Answers

Answer:

D. 66

Hope this helps!!

Why do you think you can prove congruency with SSS but not with AAA Property. Explain your answer with figures.

Answers

In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.

In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.




Which represents the solution(s) of this system of equations?


(4, 4)

(–4, –12)

(4, 4) and (–4, 12)

(–4, 4) and (4, 12)

The first two steps in determining the solution set of the system of equations, y = x2 6x + 12 and y

Answers

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

in the linear multiple regression model with two independent variables, where EY IX, = x, X2 = xy) = Ro 1x1xxx, the interpretation of OA the same as in the simple regression model when X, was the only regressor O B is the predicted difference in between two observations for a change of X, by controlling for Xy O C is the predicted difference in between two observations with a unit difference in X, holding X, constant O D. is the predicted difference in between two observations with a unit difference in X, holding X, constant

Answers

The interpretation of OA in the linear multiple regression model with two independent variables, where E(Y|X1=x1,X2=x2) = β0 + β1x1 + β2x2, is the same as in the simple regression model when X1 was the only regressor. OA represents the intercept or the predicted value of Y when both independent variables are equal to zero.

What is predicted difference?

OB: OB represents the predicted difference in Y between two observations for a one-unit increase in X1, holding X2 constant. In other words, it shows the change in the predicted value of Y for a unit increase in X1, while controlling for the effect of X2.

OC: OC represents the predicted difference in Y between two observations for a one-unit increase in X2, holding X1 constant. It shows the change in the predicted value of Y for a unit increase in X2, while controlling for the effect of X1.

OD: OD represents the predicted difference in Y between two observations for a one-unit increase in both X1 and X2. It shows the change in the predicted value of Y for a unit increase in both X1 and X2, while holding the other variable constant.

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Find the derivative of f(x) = -2x2 + 11x at x = 9.

Answers

Answer:

The value of the derivative at x = 9 is -25

Step-by-step explanation:

Here in this question, we are told to find the derivative of the given equation at the point where x = 9

What we need to do here is simply, differentiate f(x), then substitute that value x = 9 into the differentiated equation

In notation form, what we are to find is f’(9)

So;

f(x) = -2x^2 + 11x

f’(x) = -4x + 11

So therefore;

f’(9) = -4(9) + 11

f’(9) = -36 + 11

f’(9) = 11-36

f’(9) = -25

I need the answers ASAP show work pleas

I need the answers ASAP show work pleas

Answers

Answer:

1. 0.4

2. 2.67

3. 13/20

4. i thinks it's 2 i could be wrong lol

Step-by-step explanation:

Answer:

1.) 0.4  

2.) 2.6 with bar notation

Step-by-step explanation:

1.) divide 2 with 5

2.) turn it to a improper fraction and divide 8 with 3

The area of circle Z is 64 π ft. What is the value of r? r = 4 ft
r = 8 ft
r = 16 ft
r = 32 ft

The area of circle Z is 64 ft. What is the value of r? r = 4 ft r = 8 ft r = 16 ft r = 32 ft

Answers

Answer:

8 ft

Step-by-step explanation:

Area of a circle is given by πr² where r is the radius

Here we are given the area A and asked to find the radius

We have Area :
πr² = 64π

Dividing by π on both sides we get
r² = 64

r = ±√64

r = ±8

We can ignore negative values for radius and state that

r = 8 ft

each point of the plane is colored red or blue. show that there is a rectangle whose corners are all the same color

Answers

We can always find a monochromatic rectangle by reducing the problem to finding a monochromatic rectangle in a smaller area by moving the bottom of the rectangle up by one unit method.

What is rectangle?

A rectangle is a quadrilateral (a 2-dimensional shape with four sides) with four right angles. This means that opposite sides of a rectangle are parallel and congruent, and all four angles are equal to 90 degrees.

Let us consider a rectangle with sides parallel to the coordinate axes. Such a rectangle can be uniquely determined by two pairs of points that define its opposite corners. If all four of these points are the same color, then we have found a monochromatic rectangle. Otherwise, there are three cases to consider:

The two points at the top of the rectangle are the same color, and the two points at the bottom are the other color. In this case, we can reduce the problem to finding a monochromatic rectangle in a smaller area by moving the bottom of the rectangle up by one unit.

The two points on the left side of the rectangle are the same color, and the two points on the right side are the other color. In this case, we can reduce the problem to finding a monochromatic rectangle in a smaller area by moving the left side of the rectangle to the right by one unit.

Both pairs of points are of mixed color. In this case, we can reduce the problem to finding a monochromatic rectangle in two smaller areas by dividing the rectangle into four equal parts with a vertical or horizontal line.

By repeating this process on the smaller rectangles obtained in each case, we can eventually find a monochromatic rectangle. Since the rectangles we consider at each step have half the area of the previous ones, this process terminates after at most log_2(A) steps, where A is the area of the original rectangle.

Therefore, we can always find a monochromatic rectangle with this method.

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Complete question:

Each point in the x-y plane colored red or blue. show that there is a rectangle whose corners are all the same color.

Calculate Suppose that on each of the
4,500 dives Alvin has made, a new pilot and two new scientists were on board.
How many scientists have seen the
deep ocean through Alvin's windows? How
many people, in total, traveled in Alvin?

Answers

The calculation shows that 9,000 scientists have seen the deep ocean through Alvin's windows; and

a total of 13,500 people have traveled in Alvin over the course of its 4,500 dives.

What is the explanation for the above calculation?

1) If on each of the 4,500 dives Alvin carried a new pilot and two new scientists, then the total number of scientists who have seen the deep ocean through Alvin's windows is:

4,500 dives x 2 scientists per dive = 9,000 scientists

Therefore, 9,000 scientists have seen the deep ocean through Alvin's windows.

2) To calculate the total number of people who traveled in Alvin, we can add the number of pilots and scientists on each dive and multiply by the number of dives:

4,500 dives x (1 pilot + 2 scientists)

= 4,500 x 3

= 13,500 people

Therefore, a total of 13,500 people have traveled in Alvin over the course of its 4,500 dives.

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The ________________ manages water resources in a 16-county region that stretches from Orlando to the Florida Keys, serving a population of 8.1 million (hint: Remember the water conservation calculator

Answers

South Florida Water Management

The South Florida Water Management District is a regional governmental agency that manages the water resources in the southern half of the state, covering 16 counties from Orlando to the Florida Keys and serving a population of 9 million residents.

Water management is the control and movement of water resources to minimize damage to life and property and to maximize efficient beneficial use. Good water management of dams and levees reduces the risk of harm due to flooding.

Water management is the activity of planning, developing, distributing and optimum use of water resources under defined water polices and regulations.

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Please help giving brainliest!

Please help giving brainliest!

Answers

C) -5,-2,1,4,6 is the correct answer

Answer:

the third one

Step-by-step explanation:

-5 is the least out of all of them and 6 is the greatest so then you can put the numbers in between

could you help me with 11% and 9% thank you Assuming that the current interest rate is 10 percent, compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000. What happens when the interest rate goes to 11 percent? What happens when the interest rate goes to 9 percent?

Answers

As the interest rate increases from 10 percent to 11 percent, the present value of the bond decreases from $1,074.47 to $1,058.31. Conversely, when the interest rate decreases to 9 percent, the present value increases to $1,091.19. This is because the discount rate used to calculate the present value is inversely related to the interest rate, meaning that as the interest rate increases, the present value decreases, and vice versa.

To compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000, we need to discount the future cash flows (coupon payments and face value) by the appropriate interest rate.

Step 1: Calculate the present value of each coupon payment.
Since the bond has a 10 percent coupon rate, it pays $100 (10% of $1,000) annually. To calculate the present value of each coupon payment, we need to discount it by the interest rate.

Using the formula: PV = C / (1+r)^n
Where PV is the present value,

C is the cash flow,

r is the interest rate, and

n is the number of periods.

At an interest rate of 10 percent, the present value of each coupon payment is:
PV1 = $100 / (1+0.10)^1 = $90.91

Step 2: Calculate the present value of the face value.
The face value of the bond is $1,000, which will be received at the end of the fifth year. We need to discount it to its present value using the interest rate.

At an interest rate of 10 percent, the present value of the face value is:
PV2 = $1,000 / (1+0.10)^5 = $620.92

Step 3: Calculate the total present value.
To find the present value of the bond, we need to sum up the present values of each coupon payment and the present value of the face value.
Total present value at an interest rate of 10 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,074.47

When the interest rate goes to 11 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 11 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,058.31

When the interest rate goes to 9 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 9 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,091.19

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If TU = x + 3, UV =18, and TV= 3x-17 what is TU

If TU = x + 3, UV =18, and TV= 3x-17 what is TU

Answers

Answer:

TU = 22

Step-by-step explanation:

\(3x -17 =x+3+18\\3x-17=x+21\\3x=x+21+17\\3x=x+38\\3x-x=38\\2x=38\\x=\frac{38}{2}\\ x=19\\\)

TU=x+3

TU=19+3

TU=22

Answer:

Step-by-step explanation:

We can start by using the fact that TV = TU + UV. Substituting the given values, we have:

TV = TU + UV

(3x - 17) = (x + 3) + 18

Simplifying and solving for x:

3x - 17 = x + 21

2x = 38

x = 19

Now that we have the value of x, we can find TU using the given equation:

TU = x + 3

TU = 19 + 3

TU = 22

Therefore, TU = 22 units.

The figure above is maddie's bedroom .maddie is going to paint just the walls blue how many square feet will be painted blue

The figure above is maddie's bedroom .maddie is going to paint just the walls blue how many square feet

Answers

just add them minus. and go back to the blue wall

fine the value of a.

fine the value of a.

Answers

the value of a is 12 thanks have a nice day

Answer:   a = -3

==================================================

Work Shown:

The point (1, -3) is on the blue graph p(x) = a|x|

This means x = 1 and y = -3 pair up.

Use these two values to find 'a'

p(x) = a|x|

y = a|x|

-3 = a*|1|

-3 = a*1

-3 = a

a = -3

The negative 'a' value will apply the reflection over the x axis. The fact that |a| = 3 is larger than 1 indicates the graph is vertically stretched by a factor of 3.

Help plz using rational exponents.

Help plz using rational exponents.

Answers

Answer:

3. -3

4. 9

5. -5

Step-by-step explanation:

I can’t write radicals but fraction exponents change the number into a radical. Numerator being the power of the number and denominator being the type of root it is.

(1 point) find the minimum sample size needed to be 99% confident that the sample variance is within 50% of the population variance.

Answers

The minimum sample size need for the given condition is 14

What is Confidence Level in Statistics?

The proportion of likelihood, or certainty, that the confidence interval will include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.

Solution:

The minimum sample sixe required when,

Confidence Level = 99%

Variance = 50%

Generally going through the table

Minimum sample size is

X = 14

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(1 point) find the minimum sample size needed to be 99% confident that the sample variance is within

which of the following statements is NOT true?
A. the ratios of the vertical rise to the horizontal run of any two distinct nonvertical parallel lines must be equal.
B. if two distinct nonvertical lines are parallel, then two lines must have the same slope.
C. Given two distinct lines in the cartesian plane, the two lines will either intersect of they will be parallel
D. Given any two distinct lines in the cartesian plane, the two liens will either be parallel or perpendicular

Answers

The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.

A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.

B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.

C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.

D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.

Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.

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taking a cruise is a costly discretionary expense. in a recent year, the top five cruise lines in the world had this many passengers: 4,133,000 2,369,000 1,295,000 928,000 679,000 round your answers to the nearest integer. a. the computations will be easier to work if you view this problem in terms of thousands of passengers. represent each number in terms of thousands of passengers. place your answer in the same order as above using a semicolon in between the numbers. b. what is the mean number of passengers for these five cruise lines? (give the full number.) c. what is the range? (give the full number.) d. what is the standard deviation? (give the full number.)

Answers

a. The number of passengers for each cruise line in thousands:

4,133,000 passengers ÷ 1,000 = 4,133 passengers

2,369,000 passengers ÷ 1,000 = 2,369 passengers

1,295,000 passengers ÷ 1,000 = 1,295 passengers

928,000 passengers ÷ 1,000 = 928 passengers

679,000 passengers ÷ 1,000 = 679 passengers

So, the answer is 4,133; 2,369; 1,295; 928; 679.

b. The mean number of passengers can be found by adding the number of passengers for each cruise line and then dividing the total by the number of cruise lines, which is 5.

(4,133 + 2,369 + 1,295 + 928 + 679) ÷ 5 = 10,514 ÷ 5 = 2,102.8 passengers

So, the mean number of passengers is 2,102.8 passengers.

c. The range is the difference between the highest and lowest number of passengers, which is:

4,133 - 679 = 3,454 passengers

So, the range is 3,454 passengers.

d. The standard deviation can be calculated using the formula for the standard deviation of a sample. However, this calculation is quite complex and requires a significant amount of mathematical knowledge and computational resources. Without access to those resources, the standard deviation cannot be calculated

The standard deviation is a measure of the amount of variation or dispersion from the mean. It shows how spread out the values in a set of data are. To calculate the standard deviation, the difference of each value from the mean is squared and then divided by the number of items in the set. The standard deviation provides a way to quantify the degree of variation of the values around the mean. It is a useful tool for understanding how much each value in a set deviates from the average.

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Express the following number as fraction with fraction with rational denominator ​

Answers

Answer:

I need the picture

Step-by-step explanation:

wheres the picture my guy

Answer:

you never posted the number so we can't put it into a fraction.

What percentage of the data in a normal distribution is more than 1 standard deviation above the mean?

Answers

34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

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can you give y=2x a verbal situation for me

Answers

Answer: The number of doughnuts that Teresa has, y, is 2 times the number of doughnuts Thomas has, x.

Step-by-step explanation: If Teresa had 10 doughnuts, Thomas would have 5, and if Thomas had 10 doughnuts, Teresa would have 20.

A fair, 20-sided die with sides labeled 1 through 20 is rolled.

Consider the following events, and then answer the question.

A: rolling an even number
B: rolling a multiple of 4
C: rolling a number greater than 11
D: rolling a factor of 20

Which probability is the smallest?

Answers

Answer:
B. Rolling a multiple of 4

Explanation:
Rolling A even number has 10/20 chances
Rolling a multiple of 4 has 5/20 chances
Rolling greater than 11 has 9/20 chances
Rolling a factor of 20 has 6/20 chances
A. 2,4,6,8,10,12,14,16,18,20
= 10/20
B. 4,8,12,16,20
=5/20
C. 12-20
=9/20
D. 1,2,4,5,10,20
=6/20


Answer is B

given the functions f(x)=1x−2 1 and g(x)=1x 5 9. which statement describes the transformation of the graph of function f onto the graph of function g?
A.The graph shifts 8 units left and 7 units up.
B.The graph shifts 8 units right and 7 units down.
C.The graph shifts 7 units left and 8 units up.
D.The graph shifts 7 units right and 8 units down.

Answers

The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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A fisheries research report gives the following regression equation for the relationship between the length(L) in cm and weight (W) in grams, of the gracile lizardfish, a small marine fish that lives in the Indian Ocean:
lnW=!5.36+3.216lnL
What is the predicted weight of a lizardfish that was 12 cm long, based on this model?13.80 gram

Answers

The predicted weight of a lizardfish that is 12 cm long, based on the given model, is approximately 13.80 grams.

The predicted weight of a lizardfish that is 12 cm long, based on the given regression model lnW = -5.36 + 3.216lnL, is approximately 13.80 grams.

To calculate the predicted weight, we substitute the value of L = 12 cm into the regression equation. Taking the natural logarithm of both sides, we get:

lnW = -5.36 + 3.216ln(12)

Evaluating the right-hand side of the equation, we have:

lnW ≈ -5.36 + 3.216ln(12)

≈ -5.36 + 3.216(2.48491) [ln(12) ≈ 2.48491]

≈ -5.36 + 7.99604

≈ 2.63604

Taking the inverse of the natural logarithm (exponential function), we find:

W ≈ e^(2.63604)

≈ 13.80 grams

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A firm will break even (no profit and no loss) as long as revenue just equals cost. The value of x (the number of items
produced and sold) where C(x) = R(x) is called the break-even point. Assume that the below table can be expressed as
a linear function.
Find (a) the cost function, (b) the revenue function, and (c) the profit function.
Fixed cost Variable cost Price of item
(d) Find the break-even point and decide whether the
$200
$15
$25
product should be produced, given the restrictions on According to the restriction, no more than 19 units can be sold. sales.
Inco
(a) The cost function is C(x) =

Answers

(a) The cost function is C(x) = 200 + 15x

(b) The revenue function is R(x) = 25x

(c) The profit function is P(x) = 10x - 200

(d) The break-even point is x = 20. Since the restriction is that no more than 19 units can be sold, the product should not be produced.

How to calculate the cost function, revenue function, profit function, and break-even point?

We shall determine the functions in the following way:

Given:

Fixed cost = $200

Variable cost = $15

Price of item = $25

(a) The cost function

C(x) = Fixed Cost + Variable Cost per unit * Number of units produced

C(x) = 200 + 15x

(b) The revenue function:

R(x) = Price per unit * Number of units sold

R(x) = 25x

(c) The profit function:

P(x) = R(x) - C(x)

P(x) = 25x - (200 + 15x)

P(x) = 10x - 200

(d) To find the break-even point, we shall set the profit function = 0 and solve for x:

P(x) = 0

10x - 200 = 0

10x = 200

x = 20

Therefore, the break-even point is 20 units. The restriction is that no more than 19 units can be sold, so, it is not profitable to produce this product.

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A certain school's enrollment increased 6% this year over last year's enrollment. If the school now has 1378 students enrolled, how many students were enrolled last year?
A. 1295
B. 1300
C. 1350
D. 1460
E. 1500

Answers

If the school now has 1,378 students enrolled, last year, the number of students enrolled was B. 1,300.

How is the number of students determined?

Using the mathematical operations of addition, subtraction, division, and multiplication, we can determine the number of students.

Mathematical operations help us to determine unknown values, given a known domain.

Data and Calculations:

Increase in school enrollment over last year's = 6%

Enrollment for the current year = 1,378

Let last year's enrollment = 100%

And the current year's = 1.06 (100 + 6)

Therefore, the enrollment last year = 1,300 (1,378/1.06)

Thus, the enrollment (number) last school year was B. 1,300.

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