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
Vika [28.1K]
3 years ago
15

For which values of P and Q does the following equation have infinitely many solutions ?

Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Answer:

(P, Q) = (-75, 57)

Step-by-step explanation:

The equation will have infinitely many solutions when it is a tautology.

Subtract the right side from the equation:

Px +57 -(-75x +Q) = 0

x(P+75) +(57 -Q) = 0

This will be a tautology (0=0) when ...

P+75 = 0

P = -75

and

57-Q = 0

57 = Q

_____

These values in the original equation make it ...

-75x +57 = -75x +57 . . . . . a tautology, always true

You might be interested in
Mary buys a 10-meter spool of thread for sewing. She uses 210 centimeters. How much is left on the spool in centimeters?
Margaret [11]

100 cm = 1 meter

210 cm = 2.1 meters (multiply both sides by 2.1)

Mary uses 2.1 meters of thread so far, meaning she has 10-2.1 = 7.9 meters left

7.9 meters = (7.9 m)*(100 cm/1 m) = 790 cm

--------------------------------------

Alternate route:

10 meters = (10 m)*(100 cm/1 m) = 1000 cm

Mary uses 210 cm out of 1000 cm total, so she has 1000-210 = 790 cm left.

--------------------------------------

<h3>Answer: 790 cm</h3>
6 0
3 years ago
During a recent rainstorm, 8 centimeters of rain fell in Dubaku's hometown, and 2.362, points, 36 centimeters of rain fell in El
kolezko [41]

Answer:

Hence, 5.64 centimeters of more rain fell in Dubaku's town than in Elliot's town.

Step-by-step explanation:

The amount of rain that fell in Dubaku's hometown is: 8 centimeters.

Amount of rain that fell in Elliot's hometown is: 2.36 centimeters.

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 centimeters.

7 0
3 years ago
If a man can run p miles in x minutes, how long will it take him to run q miles at the same rate?
shusha [124]
The answer will be qx
8 0
3 years ago
Read 2 more answers
Giovanni bought 30 shares of Stock XYZ at the close price of $6.31. He
Diano4ka-milaya [45]

Answer:

Use the explantion to answer your question

Step-by-step explanation:

Amount he paid for first 20 shares

= $25 + (20 x $10.51)

= $25 + $210.20

= $235.20

Amount he paid for next 20 shares

= $25 + (20 x $8.93)

= $25 + $178.60

= $203.60

Thus, total amount paid

= $235.20 + $203.60

= $438.80

3 0
3 years ago
Read 2 more answers
f 4 adult females are randomly​ selected, find the probability that they have pulse rates with a mean less than 81 beats per min
Darya [45]

Answer:

The answer is 0.9726

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Please help!!!
    11·1 answer
  • Brian "bicycle kicked" a soccer ball up from a height of 4ft off the ground with an initial upward velocity of 34 feet/sec. As t
    10·1 answer
  • As part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket. The probabi
    9·1 answer
  • What is the graph of y= 3/4x - 3
    7·1 answer
  • Express 24.357 in unit form
    14·1 answer
  • Distance Between Two Ships Two ships leave the same port at noon. Ship A sails north at 14 mph, and ship B sails east at 18 mph.
    12·1 answer
  • Which of the following is a simple event?j
    6·2 answers
  • Find the surface area of the prism. Enter your answer in the box. A rectangular prism with dimensions 6 meters by 3 meters by 12
    5·1 answer
  • Comcast charges $50 plus $0.50 for each additional special channel. Charter charges $65 plus $0.30 for each additional channel.
    13·1 answer
  • What is the circumference of this circle?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!