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3 years ago

Use the substitution method to solve the system of equations. Choose the

Mathematics

1 answer:

Irina-Kira [14]3 years ago

6 0

Step-by-step explanation:

Y=9

Replace y in the equation:x+9=3

X=9-3=6

So it's D(6,9)

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A store has been selling 300 Blu-ray disc players a week at $600 each. A market survey indicates that for each $40 rebate offere

timurjin [86]

Answer:

75 $

Step-by-step explanation:

According to problem statement p(300) = 600

And we know that with a rebate of 40 $, numbers of units sold will increase by 80 then if x is number of units sold, the increase in units is

( x - 300 ) , and the price decrease

(1/80)*40 = 0,5

Then the demand function is:

D(x) = 600 - 0,5* ( x - 300 ) (1)

And revenue function is:

R(x) = x * (D(x) ⇒ R(x) = x* [ 600 - 0,5* ( x - 300 )]

R(x) = 600*x - 0,5*x * ( x - 300 )

R(x) = 600*x - 0,5*x² - 150*x

R(x) = 450*x - (1/2)*x²

Now taking derivatives on both sides of the equation we get

R´(x) = 450 - x

R´(x) = 0 ⇒ 450 - x = 0

x = 450 units

We can observe that for 0 < x < 450 R(x) > 0 then R(x) has a maximum for x = 450

Plugging this value in demand equation, we get the rebate for maximize revenue

D(450) = 600 - 0,5* ( x - 300 )

D(450) = 600 - 225 + 150

D(450) =

D(450) = 600 - 0,5*( 150)

D(450) = 600 - 75

D(450) = 525

And the rebate must be

600 - 525 = 75 $

5 0

3 years ago

Can a linear function be continuous but not have a domain and range of all real numbers

vovangra [49]

Yes. As long as it is linear, it will be continuous no matter the numbers. Now, I have no idea what a "real" number is, but I hope this helped.

5 0

4 years ago

4. Determine whether each sample is biased or unbiased. Include your reason why for full credit!

AnnyKZ [126]

Answer:

4) Unbiased; 5) Biased

Step-by-step explanation:

4) states that the audience of the poll was "random" people meaning it's a good foundation of data as they weren't chosen for the employee noticing their specific affiliation with being overjoyed with the product (as the question doesn't say) or for not liking (have complaints about it) the product.

5) The audience of the poll is fans of a sports team--definitely biased because they'll say they love the 49ers being a fan for them. Leads to skewed results not representing a portion of a population accurately.

8 0

3 years ago

Just before her party starts, Jane fills a cooler with 80 cups of ice. She also starts filling glasses with ice, 0.8 cups each.

Fofino [41]

The equation that shows how the total number of cups of ice used, y, depends on the number of glasses filled, x, is $y = 0.8x + 80$