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sdas [7]
3 years ago
6

What is the sum of the polynomials?

Mathematics
2 answers:
ipn [44]3 years ago
8 0

Answer: Last option is correct.

Step-by-step explanation:

Since we have given that

7x^3-4x^2+2x^3-4x^2

We need to find the sum of the polynomials:

So, we first collect the like terms:

7x^3-4x^2+2x^3-4x^2\\\\=7x^3+2x^3-4x^2-4x^2\\\\=9x^3-8x^2

Hence, the sum of polynomials is 9x^3-8x^2

Therefore, Last option is correct.

lubasha [3.4K]3 years ago
6 0
9x^3 - 8x^2 is the answer. to solve this you must distribute the sign across each parenthetical and then add the like terms (all cubed x variables added to cubed variables and all squared x variables added to squared variable)
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A chemist has a 40% alcohol solution and a 25% alcohol solution. How much of each should he mix together to get 50 liters of a 3
ludmilkaskok [199]

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33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution

Step-by-step explanation:

Set up two equations...

Let x represent the number of Liters of the 40% solution

Let y represent the number of Liters of the 25% solution

We need 50 liters total, so

x + y = 50

and we need the 50 L to be 35% solution, so

0.4x = 0.25y =  0.35(50)  

Solve the first equation for one variable...

x = 50 - y             (subtract y from both sides in equation 1)

Now substitute that value into the second equation...

0.4(50 - y) + 0.25y = 17.5      (x becomes 50 - y, 0.35(50) = 17.5)

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20 - 0.4y + 0.25y = 17.5

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