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
scoundrel [369]
3 years ago
7

How much p² – q² + 2pq is less than -2p² -2q² + 7pq +10 ?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0

Answer:   3p² + q² - 5pq - 10 < 0

<u>Step-by-step explanation:</u>

p² - q² + 2pq < -2p² - 2q² + 7pq + 10

since you didn't specify what to solve for, move everything from the right side to the left side of the inequality symbol using inverse operations.

(p² + 2p²) + (- q² + 2q²) + (2pq - 7pq) + (- 10) < 0

    3p²      +        q²        +      -5pq       +   -10  < 0

3p² + q² - 5pq - 10  < 0

You might be interested in
"If Jason reads7 1/2 pages in 1/4 hour, what is his average reading rate in pages per hour?
Paul [167]
The answer would be 30 pages
7 0
3 years ago
Read 2 more answers
A ball is dropped from a height of 600 feet. The function describing the height of the ball at t seconds after it dropped is <im
bekas [8.4K]

The average velocity of the object after during the first three seconds is: 48m/s

The time at which the instantaneous velocity equals the average velocity within the first three seconds is 1.5 seconds.

<h3>What is instantaneous and average velocities?</h3>

Instantaneous velocity  is the speed of an object at a particular point in time.

Average velocity is the velocity of an object after covering a certain distance for a period of time

Analysis:

Given

initial height = 600 feet

Height with respect to time = f(t) = -16t^{2} + 600

a) Height at t = 0 = 600 feet

    Height at t = 3 seconds = f(3) = -16(3)^{2} + 600 = 456 feet

Distance travelled  = 600 - 456 = 144 feet

Average velocity = distance travelled/time taken  = 144/3 = 48 feet/seconds

b) instantaneous velocity at time t = \frac{df(t)}{dt} = \frac{d(-16t^{2} + 600) }{dt} = -32t

  when instantaneous velocity equal average velocity

     -32t = -48

      t = 1.5 seconds

In conclusion, the Average velocity after 3 seconds is 48 feet per seconds and the time taken for the average velocity to equal the instantaneous velocity is 1.5 seconds.

Learn more about instantaneous and Average velocity: brainly.com/question/13372043

#SPJ1

7 0
2 years ago
What is 2 1/8 take away 1/2​
goblinko [34]

The equation is 2\frac{1}{8} - \frac{1}{2} .

1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)

The new equation is \frac{17}{8} -\frac{4}{8} . Subtract the numerators.

17 - 4 = 13 or 13/8

The improper fraction \frac{13}{8} simplifies to 1\frac{5}{8} .

<h2>Answer:</h2>

1\frac{5}{8}

Hope this helps :)

5 0
3 years ago
A conclusion which is arrived at by Inductive reasoning is called a _____?​
Ann [662]

Answer: A conclusion you reach using inductive reasoning is called conjecture.

Step-by-step explanation: Examining several specific situations to arrive at a conjecture is called inductive reasoning.

5 0
3 years ago
Write an algebraic equation to represent the problem:
Alex73 [517]

Answer:

20%

Step-by-step explanation:

That’s because 3/15 = 1/5, which is 20%

8 0
2 years ago
Read 2 more answers
Other questions:
  • Please Solve this answer 9c+4=-23
    9·2 answers
  • Solve the following problem.
    10·1 answer
  • Pedro had $14.90 in his wallet. He spent $1.25 on a drink. How much does he have left? Estimate the answer by rounding to the ne
    7·1 answer
  • Mike can plow a field in 12 hours and his brother Phil can plow it in 15 hours. How long will it take them to plow it if they us
    9·1 answer
  • Plz help I'll give brainlest!!
    6·1 answer
  • Solve the following linear equation. Explain every step in the process.
    7·2 answers
  • If the product of x^2a-1/y^3b+4 and x^7b-4/y^10-a is x^24/y^19 find the value of a and b
    13·1 answer
  • Please help with this math question
    7·1 answer
  • Which associations best describe the scatter plot?
    6·2 answers
  • Answer if you can please
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!