What is the equation of the line parallel to the line y = 4 and passing through the point (2, -1)?

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

(x + 1)² = 4(y + 10)

Step-by-step explanation:

Equation of parabola:

(x - h)² = 4a(y - k)

with vertex(h, k) and focus (h, k + a)

vertex(h, k) = (-1, -10)

⇒h = -1 and k = -10

focus (h, k + a) = (-1, -9)

⇒ k + a = -9

⇒ -10 + a = -9

⇒ a = 10 - 9

⇒ a = 1

Equation of parabola:

(x - h)² = 4a(y - k):

(x - (-1))² = 4(1)(y - (-1))

= (x + 1)² = 4(y + 10)

Jeri's reservation wage is $39.8 per week. Jack's optimal choice of hours of leisure is 66.42 hours per week.

For Jeri's reservation wage, we need to find the wage rate at which she would be indifferent between working and not working. Her marginal utility of leisure is given as MUL = 451L^0.1, and her marginal utility of consumption is UU = 4C^0.5. To find the reservation wage, we equate the marginal utility of leisure to the marginal utility of consumption and solve for the wage rate.

Similarly, for Jack's optimal choice of hours of leisure, we need to maximize his utility by choosing the right balance between leisure and work. His marginal utility of consumption is given as MU C = L - 49, and his marginal utility of leisure is MU L = C - 162. We can set up a utility maximization problem by equating the marginal utilities of leisure and consumption and solve for the optimal hours of leisure.

The total number of employed males in the civilian labor force in the U.S. in 2020 can be obtained from the Bureau of Labor Statistics (BLS) website. Without the specific data available, we cannot provide an accurate answer to the number of employed males in 2020. It is recommended to refer to the BLS website or their published reports for the most up-to-date and accurate information.

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Answer:

y=2/3x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ratio 4:5 can be like a fraction.

Girls to boys, respectively, is 4:5.

This means for every 4 girls, there are 5 boys.

Now, to get an equivalent fraction you must multiply both the numerator and denominator by the same number.

In this problem, there are 20 girls, which represents the 4 in 4:5.

So we have 4 multiplying by what to get 20?

4x=20, x=5

Now, you must multiply the amount of boys by the same number you multiplied the girls.

5x5=25. There were 25 boys.

4/5=20/x

\(f(x)=3x^2+5\\g(x)=4x-2\\h(x)=x^2-3x+1\\\\f(x)+g(x)-h(x)=3x^2+5+4x-2-(x^2-3x+1)\\f(x)+g(x)-h(x)=3x^2+4x+3-x^2+3x-1\\f(x)+g(x)-h(x)=2x^2+7x+2\)

Answer:

4/13 hours

Step-by-step explanation:

Total pounds of lasagna = 4 1/3 pounds

Total time taken to cook = 1 1/3 hours

How many hours per pound did it take to cook the lasagna?

Hours per pound of lasagna = Total time taken to cook / Total pounds of lasagna

= 1 1/3 hours ÷ 4 1/3 pounds

= 4/3 ÷ 13/3

= 4/3 × 3/13

= 4/13 hours

It will take 4/13 hours to cook each pound of the lasagna

The cosecant function is neither odd nor even.

The cosecant function is the reciprocal of the sine function.

It can be expressed as csc(x) = 1/sin(x). Unlike the sine function, the cosecant function does not exhibit symmetry about the origin. Therefore, it is not an even function. Also, it does not satisfy the property of odd functions, where f(-x) = -f(x). Hence, it is not an odd function either.

In conclusion, the cosecant function is neither odd nor even. It does not have the symmetry of even functions and does not satisfy the property of odd functions. The cosecant function is an important trigonometric function used in various mathematical calculations and applications. It is used in trigonometric identities, calculus, and complex analysis. Understanding the properties and behavior of trigonometric functions is crucial in solving mathematical problems and developing mathematical models.

The cosecant function is neither odd nor even. It has its own unique properties and is widely used in various mathematical applications.

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Answer:

Chose Cosine

Step-by-step explanation:

This is because cos = adj/hyp

Hope this helps!!!

A graphical device used for enumerating sample points in a multiple-step experiment is a tree diagram.

A tree diagram is a visual representation that helps organize and enumerate all possible outcomes or sample points in a multi-step or sequential experiment. It consists of branches or lines that represent different choices or events at each step of the experiment, and the branches split and multiply as the experiment progresses. The final outcomes or sample points are represented as endpoints of the branches.

Tree diagrams are commonly used in probability theory and statistics to calculate probabilities and analyze complex experiments involving multiple stages or events. They provide a clear and systematic way to visualize and enumerate all possible outcomes, making them a helpful tool in analyzing and solving probability problems.

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Answer:

6 Meters

Step-by-step explanation:

If the car is driving at a constant velocity of 36 m/s and accelerates at -6.0 m/s ^2 to a stop, then the distance of the car decelerates to a stop in 6 seconds.

a=v/t ->>> 6= 36/t

Answer:

option 2

Step-by-step explanation:

its easier because you can transfer the y to the other side and it gets easier.

2x = -10y

x = 2/-10 y

x = -5y

Answer:

2x + y = -10

Step-by-step explanation:

2x + y = -10

y = -2x - 10

This can then be substituted for y, for the first equation.

Answer: You will owe $1,098.06 in intrest.

Answer:

its A

Step-by-step explanation:

-x²+x+(4x²-x-1)

-x²+x+4x²-x-1

-x²+4x²-1

3x²-1

Answer:

B x = 5

20 ÷ 4 equals 5... you need to get x by it self.

Answer: y = 10 + x / 5

Step-by-step explanation:

Answer:

y = 0.2x + 2

Step-by-step explanation:

Hello!

Add x to both sides

Divide both sides by 5

The equation for y is y = 0.2x + 2.

The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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Answer:

Step-by-step explanation:

Lets assume the following binary numbers:

a=101,b=10

1)a-b=101-10=91

2)a*b=1010

3)a/ba= ie=b*a=1010

a/ba=101/1010=0.1

4)a-b=101-10=91

5)a/b=101/10=10.1

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Solving the assumed pairs of binary numbers for the operations such as addition, subtraction , multiplication and divisions give 9,090 , 10,212,111 and 9.99

What is binary number?

A binary number system is one of the four types of number system. In computer applications, where binary numbers are represented by only two symbols or digits, i.e. 0 (zero) and 1(one). The binary numbers here are expressed in the base-2 numeral system. For example, (101)2 is a binary number

Lets assume the following binary numbers:

a=10101, b=1011

1) a-b=10101-1011=9,090

2) axb=10,212,111

3) a/b= 10101 / 1011 = 9.99

4) a + b = 10101 +1011 = 11,112

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The complete question is :

calculate  a−b, a×b , and a÷b, a+b,  for the following pairs of binary numbers : for a=10101 and b=1011.

Answer:

It's C.

Explanation:

I took a test on this

Answer: the length is 6 feet. The width is 2 feet

Step-by-step explanation:

The garden pool is rectangular in shape.

Let L represent the length of the rectangular garden.

Let W represent the width of the rectangular garden.

The area of a rectangle is expressed as L× W. The area of the rectangular garden pond is 12ft^2. It means that

L× W = 12 - - - - - - - - - - 1

The length of the pool needs to be 2ft more than twice that width. This means that

L = 2W + 2 - - - - - - - - - - - 2

Substituting equation 2 into equation 1, it becomes

W(2W + 2) = 12

2W^2 + 2W = 12

2W^2 + 2W - 12 = 0

W^2 + W - 6 = 0

W^2 + 3W - 2W - 6 = 0

W(W + 3) - 2(W + 3) = 0

W - 2 = 0 or W + 3 = 0

W = 2 or W = - 3

Since the Width cannot be negative, then the width is 2 feet

Substituting W = 2 into equation 2. It becomes

L = 2×2 + 2 = 6 feet

If you only have $10 and the book costs $20, No, you cannot buy the book. However, if you have $25, Yes, you can afford the book and still have $5 left after the purchase.

In scenario A, where you have $10 and the book costs $20, you cannot buy the book. The cost of the book exceeds the amount of money you have, leaving you $10 short. In this case, you would need to find an additional $10 in order to afford the book.

In scenario B, where you have $25 and the book costs $20, you can buy the book. With $25, you have enough funds to cover the full price of the book. After purchasing the book, the remaining amount found by subtraction of the cost of the book from the amount you have (ie) the remaining amount = the amount you have - the cost of the book = $25 - $20 = $5

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The given question is

You want to read a certain book.

A. This book costs $ 20. If you only have$ 10, can you buy the book?

B. If you have $ 25, can you buy the book?

Answer:

Well if you are saying another way to write 35/11 that would be in a decimal which is 3.18182

Answer:

l=95

Step-by-step explanation:

Perimeter is all the sides add up. So the equation if you know two of the sides, it should be: 338=(2*74)+(2*l)

Answer:

Step-by-step explanation:

the perimeter is 2w plus 2l

so 338 = 74(2)+2l

338 = 148+2l

190=2l

l=95

your length would be 95 m

The Area of the Parallelogram is approximately: 13 square units.

We have a rectangle, remember that the area of a rectangle of length L and width W is equal to:

Area = W * L

Here we can define the length as the distance AB.

A = (3, 6) and B = (6, 5).

Then the distance between these points is:

L = √[(3 - 6)² + (6 - 5)²]

L = √10

The width is the distance AD, then:

A = (3, 6) and D = (2, 2), so we have:

W = √[(3 - 2)² + (6 - 2)²]

W = √17

Area = √10 * √17

Area = √(10 * 17)

Area = √170

Area = 13 square units.

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a.) The Assessed value is $43,830

b.) Annual Tax is $2,848.95

Define marked price

'Marked price' is the general price of the thing without any discount. 'discount' is a percentage of the marked price.

Given,

Assessment rate = 45%

Tax rate is $65 per $ 1000 of assessed value

Marked value = $97,400

a.)

To obtain assessed value,

calculate the 45% of $97,400 like that

45/100 = x/97,400

cross multiply the ratios

100x = 45 * 97,400

x = (45 * 97,400) / 100

x = 45 * 974

x = 43,830

Hence,the Assessed value is $43,830

b.)

Find yearly real estate tax,

Assessed value = $43,830

Tax rate is = 65 / 1000 of assessed value

                 = 0.065 * 43830

                 = 2,848.95

Hence, the  annual tax is $2,848.95

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The height of the building is 30 feet.

Annette is standing with a tree directly between her and a building. She stands so that, in her eyes, the top of the tree appears to "touch" the top of the building.  

The distance between her and the tree is 30 ft, the distance between the tree and the building is 15 ft, and the tree is 20 ft tall.

Therefore, the height of the building can be calculated as follows:

The situation forms two right angle triangle.

Therefore, using similar triangle ratio,

20 / 30 = x / 45

where

Hence,

45 × 20 = 30x

900 = 30x

x = 900 / 30

x = 30

Therefore,

height of the building  = 30 ft

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Answer:

17.95

Step-by-step explanation:

There is exactly one intersection point between the two functions within the interval -360° ≤ x ≤ 360°. Therefore, the equation tan(x) = 100x has one solution in this interval.

The equation tan(x) = 100x is a transcendental equation, which means it involves a trigonometric function (tan) and a polynomial function (100x) and cannot be solved algebraically. However, we can determine the approximate number of solutions by analyzing the behavior of the functions involved.

In this case, we are looking for solutions in the interval -360 ≤ x ≤ 360. To visualize the equation, we can plot the graphs of y = tan(x) and y = 100x on the same coordinate plane.

The graph of y = tan(x) is a periodic function that oscillates between positive and negative infinity as x approaches certain values. These values are called asymptotes. In the interval given, the graph of y = tan(x) will have infinitely many vertical asymptotes at x = -90°, 90°, 270°, etc.

On the other hand, the graph of y = 100x is a straight line with a positive slope of 100. It intersects the y-axis at the origin (0, 0).

To find the number of solutions to the equation tan(x) = 100x, we need to count the number of times the graph of y = tan(x) intersects or touches the graph of y = 100x within the given interval.

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Answer:

a) 110 mm

b) y = 11x

Step-by-step explanation:

The unit rate for  6 CD at 66 mm is

66mm / 6 CD  = 11 mm per CD

a) 10 CD's

66 mm      x mm

---------  = ------------

6 CD            10 CD

Using cross products

66 * 10 = 6x

660 = 6x

Divide by 6

660/6 = x

110 mm for 10 CD's

b)   y =  11 x

We use the rate and multiply by the number of cases to get the height