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sergiy2304 [10]
3 years ago
11

12n^3 + 16n^3 can someone please help me with this?

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Answer:

4n^{3} (3n^{2} + 4)

Step-by-step explanation:

Assuming the problem is asking you to factor out the formula, it can be done easily by finding a common number with the two givens.

4 goes into both 12 and 16 evenly, so we will use this to factor. But that's not all, we have the n-variable to worry about.

Look at the n-variable exponents in the problem, take the highest power that can go be subtracted from both and use that. We have a n^{5} and n^{3}. Since 5 can't go into 3, we must use 3 to factor.

Our factoring variable will therefore be 4n^{3}. Now, use this to simply divide and get the answer:

( 12n^{5} + 16n^{3} ) / 4n^{3}  = 4n^{3}(3n^{2} + 4)

So how did we get this? For the whole numbers, we have to divide: (12/4, 16/4). Next, we have to minus the exponents since we are dividing.

When dividing the 12 and 4, minus the n^{5} and n^{3} to get n^{2}. Get rid of the n^{3} term for the 16 and leave the 4. And there's your answer!

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hannahs exercise goal is to walk at least 6 1/2 miles this week. she has already walked 2 3/4 miles this week. write and solve a
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<h3>Finding the inequality:</h3>

We know that she already did walk 2 3/4 miles this week, and she wants to walk at least 6 1/2 miles.

So to reach that minimum, she needs to walk:

(6  1/2)mi - (2 + 3/4) mi = (3 + 3/4) mi

And she can walk that or more, so the inequality is:

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Where x represents how much she will walk this week.

If you want to learn more about inequalities, you can read:

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The trigonometric function's formula, which simulates the torque (tau) that the weight applied t minutes after Thomas attached it is

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The angular speed of the minutes hand is

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Following the application of weight, the torque as a function of time t is,

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