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
Setler79 [48]
2 years ago
8

Find the coefficient of x2 in ( 4+ 4x2)( 3x2–5).

Mathematics
1 answer:
algol132 years ago
8 0

Answer:

- 8

Step-by-step explanation:

Given

(4 +4 x²)(3x² - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

4(3x² - 5) + 4x²(3x² - 5) ← distribute parenthesis

= 12x² - 20 + 12x^{4} - 20x² ← collect like terms

= 12x^{4} - 8x² - 20

with coefficient of x² term being - 8

You might be interested in
Jada walks up to a tank of water that can hold up to 10 gallons.When it is active, a drain empties water from the tank at a cons
worty [1.4K]

Answer:

<em>Part A)</em><em>The amount of water in the tank is changing at </em><em>-2/3 gallons per minute. </em>

<em>Part B) </em><em>it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) </em><em>The water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

Step-by-step explanation:

<em>Information fetching:</em>

  • Tank of water can hold up-to 10 gallons.
  • When it is active, a drain empties water from the tank at a constant rate.
  • 7 gallons of water present in the tank when Jade first saw
  • 5 gallons of water left after 3 minutes

<em>Part A) At what rate is the amount of water in the tank changing?</em>

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be <em>-2/3 gallons per minute. </em>Hence, <em>the amount of water in the tank is changing at </em><em>-2/3 gallons per minute. </em>

<u><em>Note</em></u><u><em>: </em></u><u>negative sign indicates the number of gallons of water are decreasing.</u>

<em>Part B) How many more minutes will it take for the tank to drain completely.</em>

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

    m = 5 (3/2)

      = 15/2

      = 7.5 minutes

<em>So, it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) How many minutes before Jada arrived was the water tank completely full</em>

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

    (2/3) (m) = 3

    m = 3(3/2) = 9/2

        = 4.5 minutes

<em>So, the water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

<em />

<em>Keywords: time rate of change, time</em>

<em> Learn more about time rate of change from brainly.com/question/6279456</em>

<em> #LearnwithBrainly </em>

3 0
3 years ago
4+ (b+0) + =<br><br><br><br> i need help guys
EleoNora [17]
Easy dude.
This simplifies to 4+b

      Glad to help,
               104
4 0
3 years ago
Class a had a mean score of 7.8 and a standard deviation of 1 class b had a mean score of 8.1 and a standard deviation of 0.2 wh
Karo-lina-s [1.5K]

Class 2 scored better on average

<h3>How to determine which class scored better on average?</h3>

The averages and the standard deviations are given as:

Class 1

Mean score = 7.8

Standard deviation = 1

Class 2

Mean score = 8.1

Standard deviation = 0.2

As a general rule, the smaller the standard deviation; the better the average

Class 2 has a smaller deviation

Hence, class 2 scored better on average

Read more about standard deviation at:

brainly.com/question/28061243

#SPJ1

6 0
2 years ago
The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?
MatroZZZ [7]

Answer:

a. x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8

Step-by-step explanation:

Given that

8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9

Now

if one is added i.e.

2d^5 - c^3d^2 + 8cd^4 + 1

Now let us assume the other polynomial be x

So,

8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 = x  + (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\x = 8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 - (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\

x = (8d^5 - 2d^5) + (-3c^3d^2 + c^3d^2) + 5c^2d^3+ (-4cd^4-8cd^4) + (9-1)\\\\x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8

8 0
3 years ago
Read 2 more answers
Which feature is not used to help animals stay safe?
Vadim26 [7]
Answer to the question

C. Lungs
3 0
3 years ago
Read 2 more answers
Other questions:
  • How do you graph -y &lt;= 3x
    5·2 answers
  • Ray feeds his dog 0.12 kilogram of dry dog food each day. He wants to buy the smallest bag that has enough food to feed his dog
    6·1 answer
  • It costs $0.05 to send a text message and $0.10 to send a picture on your cell phone. You spend $4 and send five more text messa
    5·1 answer
  • What is the Median of this?
    5·2 answers
  • Can you guys help me on this one or like answer it
    10·2 answers
  • A storage box without a top is 18 inches long , 15 inches wide ,and 10 inches high , The outside of the box is painted yellow .
    7·1 answer
  • .86971 rounded to the 10th
    8·1 answer
  • If 2/5 of my money =60 what is 1/5 of my money​
    5·2 answers
  • Find the surface area of the triangular prism
    12·1 answer
  • The sum of two numbers is 18 and their difference is 4 what are the two numbers?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!