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Mars2501 [29]
3 years ago
13

Factor -12x^6-60x^5-75x^4

Mathematics
1 answer:
lesya [120]3 years ago
6 0
-12x^6 - 60x^5-75x^4.......GCF = 3x^4
 3x^4(-4x^2 - 20x - 25)
3x^4(-2x - 5)(2x + 5) <==
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(a) The position of a particle at time t is s(t) = t^3 + t. Compute the average velocity over the time interval [7, 12].(b) Esti
ryzh [129]

Answer:

<h2>a) Average velocity = 278 units</h2><h2>b) Instantaneous velocity at t = 7 seconds is 148 units</h2>

Step-by-step explanation:

a) Average velocity is the ratio of displacement to time.

   We have

              s(t) = t³ + t

    t is in between 7 and 12

             s(7) =  7³ + 7 = 350

              s(12) = 12³ + 12 = 1740

    Displacement = 1740 - 350 = 1390

   Time = 12 - 7 = 5

  Displacement =  Average velocity x time

  1390 = Average velocity x 5

  Average velocity = 278 units

b) s(t) = t³ + t

   Differentiating

         v(t) = 3t² + 1

  At t = 7

          v(t) = 3 x 7² + 1 = 148 units

  Instantaneous velocity at t = 7 seconds is 148 units

8 0
3 years ago
A 32-ounce jar of a barbecue sauce costs $8.00, while an 8-ounce jar of the same
GrogVix [38]

Answer:

Jennifer would save $0.25 per ounce.

Step-by-step explanation:

With the 32-ounce jar, the price per ounce is $0.25 per ounce. With the 8-ounce jar, the price is $0.50 per ounce. Jennifer would do better to buy the 32-ounce jar, as she would save $0.25 per ounce with that choice.

8 0
3 years ago
Is it a,b,c, or d?<br><br> Which type of fallacy?
Luden [163]

Answer:

The correct answer is False Dilemma

Step-by-step explanation:

Other examples Include

Person A: I am against going to war!

Person B: Since you are against going to war, you must be against our troops

3 0
3 years ago
Read 2 more answers
Find the number of years it would take for $1200 to earn simple interest of $324 at an annual interest rate of 6% per year
topjm [15]

ANSWER

It would take 45 good years

<u>EXPLANATION</u>

We calculate simple interest using the formula,

I=\frac{P\times T\times R}{100}


From the question,


I=324 dollars


R=6%

and

P=120 dollars


We substitute into the above formula

324=\frac{120\times T\times 6}{100}


324=\frac{720\times T}{100}

324\times100=720\times T


\frac{324\times100}{720}=T



\frac{324\times10}{72}=T


45=T


Therefore it would take 45 years.





7 0
4 years ago
In the diagram shown, line "AB" is parallel to line "CD".<br><br>Find Z​ ​
erica [24]

Answer: z is 78

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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