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kaheart [24]
3 years ago
7

The profit a business earns by selling aa items is given by the polynomial function: p(x) =x(160 − x) − (100x +500). What is the

last term in the standard form of this polynomial? What does it mean in this situation?
Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0

Answer:

The last rem of the polynomial is -500          

Step-by-step explanation:

We have given that the profit a business earn by selling items is given by polynomial p(x)=x(160-x)-(100x+500)

We have to find the last term of the polynomial when it is written in standard form

For writing in standard form first we have to do operation on the polynomial

So p(x)=x(160-x)-(100x+500)=160x-x^2-100x-500=-x^2+60x-500

So the last rem of the polynomial is -500  

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Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
Gnom [1K]

Answer:

Student B is correct

Student A failed to distribute -4 and -6 when opening the brackets in the first step

Step-by-step explanation:

The solution Student A gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x + 6 = -12x + 1 - 4

-10x + 6 = -12x - 3

2x = -9

x = -4 _1 2 ( -4 1/2)

The solution Student B gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x - 24 = -12x - 6 - 4

-10x - 24 = -12x - 10

2x = 14

x = 7

Student B is correct.

Explanation of the error:

Student A failed to distribute -4 and -6 when opening the brackets in the first step.

That is,

2x - 4(3x + 6) = -6(2x + 1) - 4

To open this bracket, we will distribute, -4 and -6 so that we get

2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4

Then we will get

2x -12x -24 = -12x -6 -4

Adding the like terms

-10x - 24 = -12x - 10

Collecting like terms

-10x + 12x = -10 + 24

∴ 2x = 14

x = 14 / 2

Hence,

x = 7

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Step-by-step explanation:

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