1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ExtremeBDS [4]
3 years ago
14

In the figure, PR = 15x – 11 and PQ = 3x + 6. Find QR in terms of x.

Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer: 12x - 17

Step-by-step explanation:

To find QR subtract PQ from PR

15x-11 -(3x+6) ---> 15x - 11 - 3x -6 = 12x -17

You might be interested in
What is the volume of this prism 10mm 8mm 12mm 3mm 2mm
Solnce55 [7]

Answer:

5760 mm

Step-by-step explanation:

just multiply lol

3 0
2 years ago
What is scatter plots
Mumz [18]

Answer: When the data given is spread across the graph at random in no certain order

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What are the intercepts of x^2+y-9=0
Dmitry_Shevchenko [17]

Answer:

Zeros

x = -3   point (-3 ,0)

x = 3   point (3 ,0)

Step-by-step explanation:

Using a graphing calculator, we can easily check the intercepts of the equation

y  = -x^2 +9

8 0
3 years ago
If you have a decimal answer, round to the nearest tenth!<br> 2/3c−4=8
Alenkasestr [34]

Answer:

= 18

Step-by-step explanation:

7 0
2 years ago
A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are ​C(x)=74,000+80x
SOVA2 [1]

Answer:

a) $675000

b) $289000 profit,3300 set, $190 per set

c) 3225 set, $272687.5 profit, $192.5 per set

Step-by-step explanation:

a) Revenue R(x) = xp(x) = x(300 - x/30) = 300x - x²/30

The maximum revenue is at R'(x) =0

R'(x) = 300 - 2x/30 = 300 - x/15

But we need to compute R'(x) = 0:

300 - x/15 = 0

x/15 = 300

x = 4500

Also the second derivative of R(x) is given as:

R"(x) = -1/15 < 0 This means that the maximum revenue is at x = 4500. Hence:

R(4500) = 300 (4500) - (4500)²/30 = $675000  

B) Profit P(x) = R(x) - C(x) = 300x - x²/30 - (74000 + 80x) = -x²/30 + 300x - 80x - 74000

P(x) = -x²/30 + 220x - 74000

The maximum revenue is at P'(x) =0

P'(x) = - 2x/30 + 220= -x/15 + 220

But we need to compute P'(x) = 0:

-x/15 + 220 = 0

x/15 = 220

x = 3300

Also the second derivative of P(x) is given as:

P"(x) = -1/15 < 0 This means that the maximum profit is at x = 3300. Hence:

P(3300) =  -(3300)²/30 + 220(3300) - 74000 = $289000  

The price for each set is:

p(3300) = 300 -3300/30 = $190 per set

c) The new cost is:

C(x) = 74000 + 80x + 5x = 74000 + 85x

Profit P(x) = R(x) - C(x) = 300x - x²/30 - (74000 + 85x) = -x²/30 + 300x - 85x - 74000

P(x) = -x²/30 + 215x - 74000

The maximum revenue is at P'(x) =0

P'(x) = - 2x/30 + 215= -x/15 + 215

But we need to compute P'(x) = 0:

-x/15 + 215 = 0

x/15 = 215

x = 3225

Also the second derivative of P(x) is given as:

P"(x) = -1/15 < 0 This means that the maximum profit is at x = 3225. Hence:

P(3225) =  -(3225)²/30 + 215(3225) - 74000 = $272687.5

The money to be charge for each set is:

p(x) = 300 - 3225/30 = $192.5 per set

When taxed $5, the maximum profit is $272687.5

3 0
2 years ago
Other questions:
  • One month,ruby worked 6 hours more than Isaac, and Svetlana worked 4 times as many hours as ruby. Together they worked 126 hours
    15·1 answer
  • Solve each inequality 1 &lt; x -2
    6·2 answers
  • Identify the conclusion of the conditional statement.
    12·2 answers
  • How to find the area of a regular polygon with only the apothem ?
    7·2 answers
  • Which of the following best explains the main purpose of short-term
    6·1 answer
  • A restaurant is open 24 hours a day. The manager wants to divide the day into work shifts equal length. The shifts should not be
    7·1 answer
  • Solve the equation.<br><br> q+59=16<br> Thx!
    12·2 answers
  • Question 1
    5·1 answer
  • I need to check my answers
    7·2 answers
  • Find the value of x, and please explain how you got x
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!