If cost is represented by C(x)=1.8x+10,000 and revenues are represented by R(x)=8.5x, which equation could be used to find the break-even point?

Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

Answer:

one thousand five hundred and niethree .

Step-by-step explanation:

You just use words instead of numbers.

For f(x)= 3x required values of the function are f(-3)=-9, f(0)=0, f(3)=9

What is the value of a function?

A function gives exactly one output to each input .  f(2) means that we should find the value of our function when x equals 2. f(x) is the value of the function

Given function is f(x)= 3x

Then f(-3) = 3(-3) =-9

f(0) = 3(0) =0

f(3) = 3(3) =9

Therefore, values of the function at x = -3,0,3 are -9,0,9 respectively

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The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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Answer:

-7x -1

Step-by-step explanation:

-x - (1 + 6x)

Distribute the minus sign

-x - 1 - 6x

Combine like terms

-7x -1

Answer:

0

Step-by-step explanation:

1×2÷√(3)×√(3)÷2 - √(3)×1÷√(3)

1-1

0

for more refer to the image

Answer:

(Most common) Function evaluated at \(x\) is equal to six times \(x\) minus five

(Alternative) Function in terms of \(x\) is equal to the product of six and \(x\) minus five

Step-by-step explanation:

Let \(f(x) = 6\cdot (x-5)\), there are several form to represent this expression in mathematical term. One of the most common forms is the following:

Function evaluated at \(x\) is equal to six times \(x\) minus five

Another form could be this:

Function in terms of \(x\) is equal to the product of six and \(x\) minus five

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Step-by-step explanation:

here's the answer

Hope it helps◉‿◉

Answer:

x = 2

Step-by-step explanation:

7x -4 = -4x + 18

11x - 4 = 18

11x = 22

x = 2

Let's check

7(2) -4 = -4(2) + 18

14 - 4 = -8 + 18

10 = 10

So, x = 2 is the correct answer.

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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Answer: y=45

Step-by-step explanation:

y/27 is 9 times as much as 5/3, (because 9 times 3 equals 27, the denominator) and according to that logic, 5 x 9 = 45!

just ask if you need more info :3

Answer:

x is equal to 5

Step-by-step explanation:

1. The finance charge on the loan is $9,920.

2. The total deferred payment price of the airplane is $39,120.

To find the finance charge on the loan, we need to first determine the amount financed. George Bell made a 15% down payment on the airplane, so the amount financed is:

= $29,200 - (0.15)($29,200)

= $29,200 - $4,380

= $24,820

The total amount of payments made over the life of the loan is:

= $579/month x 60 months

= $34,740

The finance charge on the loan is:

= $34,740 - $24,820

= $9,920.

The total deferred payment price of the airplane is the sum of the down payment and the total amount of payments made over the life of the loan. The down payment is 15% of the purchase price which is:

= 0.15 * $29,200

= $4,380

The total amount of payments made over the life of the loan is:

= $579/month * 60 months

= $34,740

The total deferred payment price of the airplane is:

= $4,380 + $34,740

= $39,120.

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Answer:4

Step-by-step explanation:

Observe the quantities, ie. see what happens if you increase one or decrease the other.

To simplify imagination, expose one quantity. I will expose y.

1.

\(-\frac{y}{4}=2x\implies y=-8x\)

So what is their variation or proportion? If I increase x then y is getting more and more negative. So is this direct or inverse or nothing? It is direct.

2.

\(14x=\frac{14}{y}\implies y=x, y\neq0\) again if I increase x then y will match, will also increase. This is again direct.

3.

\(y=\frac{13}{x}, x\neq0\) this time if I increase x, y will get smaller. When x is exactly 13, y will be 1 and when x is 10000, y will be 0.0013. This is inverse. One quantity gets really small when other quantity gets really big.

4.

\(y=x-2\) if I increase x then y will also increase even though by slightly less (-2) it will still increase. However since there is no multiplication this is not a direct variation nor is it inverse. It is nothing/no-variation.

Hope this helps :)

The mean and the standard deviation, from the frequency table, are given as follows:

The frequency table gives the number of times that each observation appears.

The mean of a data-set is given by the sum of all observations divided by the number of observations, hence it is given as follows:

Mean = (1 x 13 + 2 x 12 + 3 x 5)/(13 + 12 + 5) = 1.73.

The standard deviation is given by the square root of the sum of the difference squared between each observation and the mean, divided by the number of observations, hence it is given as follows:

Standard deviation = sqrt((13 x (1 - 1.73)² + 12 x (2 - 1.73)² + 5 x (3 - 1.72)²)/30) = 0.73.

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dy/dt is \(-\frac{(21x^2+2y)\frac{dx}{dt}}{2x+9y^2}\)

What is differentiation?

Differentiation is a method of finding the derivative of a function. Differentiation is a process, in mathematics, where we find the instantaneous rate of change in function based on one of its variables. The most common example is the rate change of displacement with respect to time, called velocity.

We can find the dy/dx as shown below:

7x^3+2xy+3y^3=3

differentiating with respect to t.

\(7\frac{d(x^3)}{dt} +2\frac{d(xy)}{dt}+3\frac{y^3}{dt}=0\)

\(7\frac{3x^2dx}{dt}+2y\frac{dx}{dt}+2x\frac{dy}{dt}+3\frac{3y^2dy}{dt}=0\)

\(21\frac{x^2dx}{dt}+2y\frac{dx}{dt}+2x\frac{dy}{dt}+9\frac{y^2dy}{dt}=0\)

\((21x^2+2y)\frac{dx}{dt}+(2x+9y^2)\frac{dy}{dt}=0\)

\((21x^2+2y)\frac{dx}{dt}=-(2x+9y^2)\frac{dy}{dt}\)

\(-\frac{(21x^2+2y)\frac{dx}{dt}}{2x+9y^2}=\frac{dy}{dt}\)

\(\frac{dy}{dt}=-\frac{(21x^2+2y)\frac{dx}{dt}}{2x+9y^2}\)

Hence, dy/dt is \(-\frac{(21x^2+2y)\frac{dx}{dt}}{2x+9y^2}\)

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Answer:

The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

Step-by-step explanation:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We have the point (-6,8) and a slope of -5/3.

Step 1: Use the point-slope formula to find the equation of the line in point-slope form.

y - y1 = m(x - x1)

where x1 and y1 are the coordinates of the given point.

y - 8 = (-5/3)(x - (-6))

Simplify this equation:

y - 8 = (-5/3)(x + 6)

Step 2: Convert the equation to slope-intercept form.

Distribute (-5/3) to get:

y - 8 = (-5/3)x - 10

Add 8 to both sides:

y = (-5/3)x - 2

This is the equation of the line in slope-intercept form. Therefore, the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

answer to the question is 250 newtons

the answer is actually 200 newtons

Using doubles plus one Number sentence of 7 + 7 + 1 is equal to 15 it is done by simply adding 1 to the given number.

Doubles plus one fact is used to add numbers which are next to each other. for example a number given is 8 + 8 we have to evaluate it by using doubles one fact so 8 + 8 = 8 + 8 + 1 = 17.

The sum of 7 + 7 can be determined by using doubles plus one fact as:

Simply add 1 in 7 + 7 to get the result required.

7+ 7 + 1 = 15

Therefore by using doubles plus number sentence one fact the sum of 7 + 7 + 1is equal to 15.

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Answer:

x = 16°

Step-by-step explanation:

What we know:

∠JML = 47°

∠JKL = (7x + 21)°

∠JML is an inscribed angle

∠JKL is an inscribed angle

Inscribed angles are half of the value of their intercepted arc

So if m∠JML = 47° then mArc JL is double that or 94°

And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so

mArc JL + Arc JML = 360°

94 + Arc JML = 360

Subtract 94 from both sides to isolate Arc JML

Arc JML = 266°

So if Arc JML = 266° then it's intercepted inscribed angle is half of that.

Arc JML ÷ 2 = ∠JKL

266 ÷ 2 = ∠JKL

133 °= ∠JKL

Now we can use this value and set it equal to the expression to find the value of x

(7x + 21) = 133

Subtract 21 from both sides to isolate the x

7x = 112

Divide both sides by 7

x = 16

Answer:

C must be acute, and ABC cannot be constructed

Step-by-step explanation:

24 degrees is under 90 degrees making angle c an acute angle.

ABC cannot be contructed because a triangle makes up of 180 degrees, and ABC does not make up 180 degrees.

Have a great day friend! :D

Answer:

C must be acute.

Step-by-step explanation:

The smaller the length of the side, the smaller is the angle opposite it, so C must be < 27.

The implications of Constructivist approach in teaching mathematics is that it helps the students to develop a better way to comprehend the content of what they are being taught.

A constructive approach of teaching mathematics believes that students construct knowledge rather than just passively take in information.

A constructive approach of teaching also believes that students integrate new knowledge with existing knowledge to create a deeper understanding of the mathematics being taught to them.

Therefore, constructive approach of teaching can help the students to comprehend the content of what they are being taught.

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The value of m ∠ABD will be;

⇒ ∠ ABD = 50°

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

In the diagram, the parallel lines are cut by transversal BC.

And,  BD bisects ∠ABC and m∠3 = 80.

Now,

Since, The parallel lines are cut by transversal BC.

Hence, We get;

⇒ ∠ 3 + ∠ 2 = 180°

⇒ 80° + ∠ 2 = 180°

⇒ ∠ 2 = 180 - 80

⇒ ∠ 2 = 100

And, We have;

⇒ ∠ 2 = ∠ ABC

⇒ ∠ ABC = 100°

Since, BD bisects ∠ABC.

Hence, We get;

⇒ ∠ ABD = 100 / 2

⇒ ∠ ABD = 50°

Thus, The value of m ∠ABD = 50°

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Answer:

a rectangle is having 4 lines of symmetry but a trapezium is having 2 lines of symmetry

The quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.

By the above discussion we conclude that the quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.

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The required sample size of the given value is 577.

What is margin of error?

The formula to calculate the sample size  :-

n = (p(1-p)((Zα/₂)/E)²

Given :  Estimated proportion  p = 0.60

Margin of error : E = 0.04

Significance level : α = 1-0.95 = 0.05

Critical value : Zα/₂ = 1.96

Now, the required sample size will be :-

n = (0.60)(0.11)(1.96/0.04)²

= 6.6 * (0.0784)²

= 0.57744

Hence, the required minimum sample size of the given is 577.

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Answer:

15% markup

Step-by-step explanation:

5% markup would be $1. Since 20*5% or 20*.05=1

We can multiply it by 3 to find the percent for $3 markup. Which is 15% or 0.15