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mamaluj [8]
2 years ago
14

Find the coefficient of x2 in (3x2 – 5) (4 + 4x2), expand using algebraic expressions and answer

Mathematics
1 answer:
Scilla [17]2 years ago
7 0

Answer:

- 8

Step-by-step explanation:

Given

(3x² - 5)(4 + 4x²)

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

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

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

= 12x^{4} - 8x² - 20

The coefficient of the x² term is - 8

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Five molecules have speeds of 2.8, 3.2, 5.8, 7.3, and 7.4 m/s. their root-mean-square speed is closest to
frosja888 [35]
The complete question in the attached figure

we know that

the root mean square speed, is the square root of the average (mean) of all of the square of the speeds of individual particles in a gas.

step 1
find the  square of the speeds of individual particles
2.8²----> 7.84
3.2²---->10.24
5.8²----> 33.64
7.3²----> 53.29
7.4²---> 54.76
average=[7.84+10.24+33.64+53.29+54.76]/5-----> 159.77/5----> 31.954

step 2
find the square root of the average
√31.954=5.65

therefore

the answer is
the option b) 5.7 m/s

7 0
2 years ago
in june , a camp has 325 campers and 26 counselors, in july,265 campers leave and 215 new campersarrive.How many counselors does
Lostsunrise [7]

Answer:

  • <u>22 counselors</u>

<u></u>

Explanation:

<u>1. Ratio of campers to counselors in june:</u>

  • number of campers: 325

  • number of counselors: 26

  • Ratio = number of campers / number of counselors

  • Ratio = 325 campers / 26 counselors

<u />

<u>2. Ratio of campers to counselors in july:</u>

  • number of campers = 325 - 265 + 215 = 275

  • number of counselors = x (unknown)

  • Ratio = 275 campers / x

<u />

<u>3. Equivalent ratios:</u>

  • 325 campers / 26 counselors = 275 campers / x

Solve for x:

  • x = (26counselors/325campers) × 275campers = 22 counselors ← answer

3 0
1 year ago
Quinn and randy both opened savings accounts with $50. Quinn deposited $25 each week for 4 weeks . randy deposited more than $25
Illusion [34]
Your answer is D because his line needs to be slightly above +25 each time 50+25=75 so his line would be above 75
4 0
1 year ago
Which of the following values are in the range of the function graphed below?
Elanso [62]
Hello!

The range is all of the y-values of the function. As we can see, the function is at y-values 0, -2,-4 and -6.

Therefore, our answers are 0 ,-2 and -6.

I hope this helps!
4 0
2 years ago
Read 2 more answers
-5 + 3g + (-3) - 8g = -18
Greeley [361]

Answer:

the answer is g=2

Step-by-step explanation:

hope this helps!!!

3 0
1 year ago
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