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3 years ago

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Mathematics

1 answer:

Gre4nikov [31]3 years ago

3 0

Answer:

1. (4,6)

2. (-1, 8)

3. Not enough information given.

Step-by-step explanation:

1. Reflecting the point over the y-axis will place the point (-4,6) 4 units on the other side of the axis. This would place it at (4,6) without changing the y-coordinate.

2. Reflections across the line y=x means y and x trade places. This will result in the point (8,-1) becoming (-1,8).

3. Not enough information about the shape is given. Need to know where it is now to know where it will go.

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75$

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3 years ago

The equation of a line is y=-2x+1. What is the equation of a line that is parallel to the first line and passes through (2,2)

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The answer is y=-2x+6

We know the slope of the given equation is -2. A parallel line must have the same slope as the original function. So if we plug in the coordinates and the slope into the point slope formula we get y=-2x +6

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8. There are 3 people who work full-time and are to work together on a project, but their total time on the project is to be equ

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Answer:

1/6 of the third workers time

Step-by-step explanation:

one of the people is budgeted for 1 /2 of his time to the project and a second person for 1/3 of her time

Let x be the third workers time

Let the completed job time = 1

Time taken for 3 workers to complete the job = 1

$\frac{1}{2}+ \frac{1}{3} + x= 1$

now we solve for x

LCD = 2*3 = 6

We multiply the whole equation by 6

$\frac{1}{2}*6+ \frac{1}{3}*6 + x*6= *6$

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3 years ago

An electronic manufacturing company has determined that the monthly cost of producing x units of its newest stereo is C(x) = 250

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Answer: The monthly marginal profit when 8250 units are produced and sold is 2,427,125 dollars

Step-by-step explanation:

C(x) = 2500 + 10x

D(x) = 60000 - x/1500

Use the demand equation to find the monthly revenue equation.

R(x) = x.D(x) = x(60000 - x/1500) = 60000x - x²/1500

Find the monthly profit equation

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45000x - x² - 3750000/1500

use it to compute the monthly marginal profit for a production level of 8250 units

P(8250) = 45000*8250 - 8250² - 3750000/1500 = 2,427,125

The monthly marginal profit when 8250 units are produced and sold is 2,427,125 dollars

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