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aleksandrvk [35]
3 years ago
9

The sum of -4x^3+x^2 and -x^3+4x+8

Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0

Answer: -5x³ + x² + 4x + 8

Step-by-step explanation

This is a polynomial expressions of third order.

The equation

(-4x³ + x² ) + (- x³ + 4x + 8)

Adding them together according to their order, we now have

( -4x³ + (-x³) + x² + 4x + 8 )

-4x³ - x³ + x² + 4x + 8

-5x³ + x² + 4x + 8

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3 years ago
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Can you simplify 8/15+1/6
belka [17]

Answer:

Yes and the answer is 16/5

Step-by-step explanation:

Find the reciprocal of the divisor

Reciprocal of 1/6 : 6/1

Now, multiply it with the dividend

8/15 ÷ 1/6 = 8/15 × 6/1

And after that you get 48/15 but after reducing the fraction, the answer is 16/5. ( In mixed form, 3 1/5 )

I hope this helps and I am a middle school student answering this question.

5 0
2 years ago
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A store sells black ink pens for $5 and red ink pens for $4. John wishes to buy 20 pens but doesn’t wish to spend more than $92.
Zina [86]

Answer:  4r + 5(20-r) \le 92

=======================================

Explanation:

r = number of red pens

4r = cost of buying r red pens

example: if r = 10, then 4r = 4*10 = 40 is the total cost of buying 10 red pens

If John buys r red pens, then he must buy 20-r black pens so that r and 20-r add to 20.

John buys 20-r black pens, and at $5 each, so it will cost 5(20-r) dollars for just the black pens alone.

In total, John spends 4r + 5(20-r) dollars for all the pens (red & black)

We want $92 be the most he spends. This is the ceiling or highest value possible.

Therefore,

4r + 5(20-r) \le 92

--------------------

Extra info:

If you want to solve for r, then

4r + 5(20-r) \le 92

4r + 5(20)+5(-r) \le 92 distribute

4r + 100 - 5r \le 92  

100 - r \le 92

100-r+r \le 92+r add r to both sides

100 \le 92+r

100-92 \le 92+r-92 subtract 92 from both sides

8 \le r

r \ge 8

So John must buy at least 8 red pens. The most he can buy is 20 red pens since he wants 20 pens total.

8 0
3 years ago
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Hope this helps, even though I do feel that it could be wrong. Welp, I gave it my best shot.

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N76 [4]

Answer: 68 degrees

To get this answer, you multiply 34 by 2 to get 34*2 = 68. I'm using the inscribed angle theorem. This says that the arc measure is two times that of the inscribed angle, where the inscribed angle cuts off the arc.


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