Evaluate the expression for F = 0
14f=

Answer:

7      15

8      5       4

- 2      9        2

____________

  5          6          2

cross out the 8 and the 5

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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Answer:

Step-by-step explanation:

$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.

This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.

Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.

The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.

Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.

In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.

The total cost of making the handles is the product of the number of handles times the cost per unit:

Total cost = 65 potholders × $1.65/potholder = $107.25

The total revenue from selling the handles is the product of the number of handles times the selling price per unit:

Total revenue = 65 potholders x $2.12/potholder = $137.8

Elmo's profit is the difference between total revenue and total cost:

Profit = Total Revenue - Total Cost

Profit = $137.8 - $107.25 = $30.55

Profit = $30.55

Answer:

1.375 lbs

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function

Let's try point x = 0

So the vertex moves right

See attached

Answer:

160

Step-by-step explanation:

FEJ angle is the large angle and the number in red shows how big it is. Remember the whole thing is 180 degrees.

Answer:

About $150 billion US dollars to buy Venezuela

Step-by-step explanation:

It's a big place

             I do not believe this is correct, (I have been checking it), but here is my work and I hope it helps you to figure out the correct answer!

(It has been a bit since I've done this haha)

[Equation] \(A = d(\frac{(1+i)^{n}-1}{i})\)

[Plug-In] \(152,000 = d(\frac{(1+0.045)^{168}-1}{0.045})\)

          () 4.5% -> 0.045

          () 14 years * 12 = 168 months

This is where I loose confidence in it, just so you know:

[Addition] \(152,000 = d(\frac{(1.045)^{168}-1}{0.045})\)

[Exponent of 168] \(152,000 = d(\frac{(1,627.56)-1}{0.045})\)

[Subtract] \(152,000 = d(\frac{1,626.56}{0.045})\)

[Divide] \(152,000= 36,145d\)

[Divide Again] d = 4.2

(which doesn't sound right to me haha, 4 * 12 = 48 * 14 =672)

Have a nice day!

   I know this is not exactly what you are looking for and I am sorry, wanted to share with you what I had! (ノ^∇^)

- Heather

Answer:

0 belongs to the set of whole number,set of rational numbers,set of real numbers and integers

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

3(1 + 2(2)) - 2(1) + 10

3(1 + 4) - 2 + 10

3(5) - 2 + 10

15 - 2 + 10 = 13 + 10 = 23

Step-by-step explanation:

y=x-2....eqn1

x+y=12.....eqn2

now,

from eqn 1

y= x-2

again, putting value of y in eqn 2

in eqn 1

hope it helps..

Answer:

x = -15

Step-by-step explanation:

In fractional equations we cross multiply the expressions:

In cross multiplying the denominator of the first fraction is multiplied with the numerator of the second fraction and vice versa:

-2x = 30 divide both sides by -2

x = -15

Answer:

108 cm³

Step-by-step explanation:

Formula: V = w×h×l

Solution: V = whl = 4·3·9 = 108

Hence, the answer is 108 cm³

Answer:

function

Step-by-step explanation:

this graph is a function.

why?

if we draw a vertical line on all points of the function we can see that it only intersects ONCE. Therefore, it's a function. if it intersects more than once then it will not be a function

The Length is 5 inches and the Breadth is 15 inches

What is Perimeter?

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.

Solution:

Perimeter of Rectangle = 2*(Length + Breadth)

According to the question

Breadth = 3*Length

Perimeter = 40

40 = 2*(Length + 3*Length)

20 = 4*Length

Length = 5 inch

Breadth = 15 inch

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Answer: The old oak tree and the granite boulder are \(\sqrt{26}\) units apart.

Step-by-step explanation:

The distance between points (a,b) and (c,d) is given by :-

\(d=\sqrt{(c-a)^2+(d-b)^2}\)

Given: The position of oak tree = (1, 10)

The position of granite boulder = (-5,9)

The distance between oak tree and granite boulder  = \(\sqrt{(10-9)^2+(1-(-5))^2}\)

\(=\sqrt{(1)^2+(1+5)^2}\\\\=\sqrt{1+25}\\\\=\sqrt{26}\text{ units}\)

Hence, the old oak tree and the granite boulder are \(\sqrt{26}\) units apart.

Answer:

----------------------------

Divide the total amount by the cost per piece:

Since the carpenter can only buy whole pieces of wood, they can buy 30 pieces.

Each student will take=320/64

=5

So the answer is 5.

Hope it will be helpful to you...

✧◝(⁰▿⁰)◜✧

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Step-by-step explanation:

Since we have three sides and trying to find an angle, use Law of Cosines

\(c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(d) } \)

where c is

Solving for the angle d.

\( \cos {}^{ -1 } (( \frac{ {c}^{2} - {b}^{2} - {a}^{2} }{ - 2ab} ) = d\)

where d is in degrees

The angle d is the opposite of the side c.

It does not matter what a and b is(they can be either 4 or 5)

let

c=7

a=4

b=5

\( \cos {}^{ - 1} ( \frac{ - 1}{5} ) = d\)

This angle must be within 0 and 180

We get

\(d = 101.54\)

Answer:

i think is the answer is

sin(A+B)

Answer:

Numerator:

Divide by cos A cos B:

Denominator:

Divide by cos A cos B:

Connect all bits together to get:

the d1 = 2A/d2 and d2 = 2A/d1 are correct options.

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

The given A=a equals Start Fraction one-half End d1, d2, 2d1d2 where d1 and d2 are the lengths of the diagonals.

So the correct options are

d1 = 2A/d2

d2 = 2A/d1

Hence the d1 = 2A/d2 and d2 = 2A/d1 are correct options.

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Answer:

here you go (I can not draw a straight line)

Step-by-step explanation:

Answer:

i got y = 5x but not sure

Step-by-step explanation:

Answer: 40.27

Step-by-step explanation:

Let their September bill be x

Therefore, the October bill will be = x - 3.87.

Therefore, the addition of both bills will be:

x + (x - 3.87) = 237.75

x + x - 3.87 = 237.75

2x - 3.87 = 237.75

2x = 237.75 + 3.87

2x = 241.62

x = 241.62/2

x = 120.81

Therefore, September bill was 120.81

Since the 3 students share the bull equally, the amount owed by each will be:

= 120.81 / 3

= 40.27

Each person owes 40.27

The probability of getting someone in the 18-21 age bracket or someone who responds is 28.7%.

The total number of people in the 18-21 age bracket is 93. The number of people in this bracket who responded is 79. The number of people in this bracket who refuse to respond is 14. The total number of people in the 22-29 age bracket is 251. The number of people in this bracket who responded is 219. The number of people in this bracket who refuse to respond is 32.

A person is randomly selected from all the people surveyed. We need to find out the probability of getting someone in the 18-21 age bracket or someone who responds. Let the variables E1 and E2 represent the events.

E1 is the event of getting a person from the 18-21 age bracket.

E2 is the event of getting a person who responds.

P(E1∪E2) = P(E1) + P(E2) - P(E1∩E2)

P(E1∪E2) = (93/344) + [(79 + 219)/344] - (79/93)

P(E1∪E2) = 0.27035 + 0.86628 - 0.84946

P(E1∪E2) = 0.28717

Hence, the probability of getting someone in the 18-21 age bracket or someone who responds is 28.7%.

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Answer:

1  1/5

Step-by-step explanation:

1 and 1 fifth as a fraction.

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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Answer:

1539.38cm³

Step-by-step explanation:

V=πr2h=π·72·10≈1539.3804cm³