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amm1812
3 years ago
6

What is the solution to the system of linear equations? y=4x and y-4x=0​

Mathematics
1 answer:
musickatia [10]3 years ago
7 0

Answer:

  y = 4x; there are an infinite number of solutions

Step-by-step explanation:

Both equations describe the same relation between x and y. The system is "dependent", so has an infinite number of solutions. For any value of x, the solution is ...

  (x, y) = (x, 4x)

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Write the product as a sum: 14cos(39x)sin(19x)
charle [14.2K]

Recall that

sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)

sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)

Adding these together gives

sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)

To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :

7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

4 0
3 years ago
Please help !!
S_A_V [24]

Answer:

The top right graph.

Step-by-step explanation:

5 0
3 years ago
Y=7.5x, where y represents total money spent for tickets. Is it proportional or non-proportional.
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Proportional because there is no + x at the end<span />
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3 years ago
a jacket cost 4 times as much as a shirt. if the total cost of the jacket and shirt is $280, how much does the shirt cost ------
Vedmedyk [2.9K]

The answer I got was A.)$56.

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Comment if you need help on how I got that answer!

3 0
3 years ago
Peter Chibwe works at Company XYZ. The following information relates to his performance at work for a single week Deductions are
Colt1911 [192]

The question is related to Payroll Administration and Management.

Where the weekly gross is $10,000 the Net Pay is $ 7,240 while monthly Net Pay is $ 28,960.00.

<h3>What is Payroll Administration?</h3>

This is defined as the series of task required to organize the compensation an benefits of the employee for the period that they have spent working.

<h3>The solution is given below:</h3>

A) Note that the information given above is for a week. We are not given the gross wage. Hence we'd assume that the gross wage for the week is $10,000.

If gross pay is $10,000, Net Pay is calculated by removing deductions.

Deductions are:

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Employee Insurance = 1% of 10,000 = $100

Union Membership = $10

The Total Deduction thus is = 750 + 1,900 + 100 +10 = $2, 760.00

The Net pay =  Gross Pay Less Deductibles

= 10,000-7,760

Thus The Net pay = $ 7,240/Week.

His weekly net wage will be:

7,240 * 4 = $28,960.00/Month

B) The kind of remuneration method used by company XYZ is

Time Rate System. Under the time rate system, the worker is paid per hour, per day, per week, or per month.

It is normally used for workers who are engaged on highly skilled jobs or highly skilled services, for example, equipment testing, or inspection of operations, toolmaking, etc.

See the link below for more about payroll administration:

brainly.com/question/15858747


3 0
2 years ago
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