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____ [38]
2 years ago
9

This is the last one i need help on, please help

Mathematics
1 answer:
Arlecino [84]2 years ago
6 0

Answer:

options 4 and 6 I believe

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Here are two expressions whose product is a new expression, :
Vera_Pavlovna [14]

Answer:

1. Fill in the box with 1

2. Fill in the box with -2

Step-by-step explanation:

Expression:

(-2x^3 + [\ ]x)(x^{[\ ]}+1.5) = A

Solving (1): Fill in the box to make it a polynomial.

To make it a polynomial, we simply fill in the box with a positive integer (say 1)

Fill in the box with 1

(-2x^3 + [1]x)(x^{[1]}+1.5) = A

Remove the square brackets

(-2x^3 + x)(x^1+1.5) = A

(-2x^3 + x)(x+1.5) = A

Open bracket

-2x^4 - 3x^3 + x^2 + 1.5x = A

Reorder

A = -2x^4 - 3x^3 + x^2 + 1.5x

The above expression is a polynomial.

This will work for any positive integer filled in the box

Solving (2): Fill in the box to make it not a polynomial.

The powers of a polynomial are greater than or equal to 0.

So, when the boxes are filled with a negative integer (say -2), the expression will cease to be a polynomial

Fill in the box with -2

(-2x^3 + [-2]x)(x^{[-2]}+1.5) = A

Remove the square brackets

(-2x^3 - 2x)(x^{-2}+1.5) = A

Reorder

A = (-2x^3 - 2x)(x^{-2}+1.5)

Open brackets

A = -2x-3x^3-2x^{-1}-3x

Collect Like Terms

A = -3x^3-2x-3x-2x^{-1}

A = -3x^3-5x-2x^{-1}

Notice that the least power of x is -1.

Hence, this is not a polynomial.

3 0
3 years ago
PLEASE HEL MUST BE DONE URGENTLY
LekaFEV [45]
Y = x + 2 is closest to what I believe is the solution.

If the club begins with 2 members, then +2  MUST appear in the formula.

If the club adds 2 members every week, then the total number of members would be

f(x) = y = 2 + 2(x-1), where x is the number of weeks.

Test this:  If x = 1, then y = 2+2(1-1) = 2 + 0  = 2.  This is correct.  The club began with 2 members in week 1

8 0
3 years ago
Read 2 more answers
40 gallons water is used completely fill 6 fish tanks . If each tank hold the same amount of water
Lana71 [14]

Answer:

Step-by-step explanation:

40/6=6.66666667

7 0
3 years ago
Name the values of the 5s in 5,500
Mademuasel [1]

Answer:

5 thousand and 5 hundred.  

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the percent of the number 60% of 20
In-s [12.5K]

Step-by-step explanation:

60% of 20 = 12

5 0
3 years ago
Read 2 more answers
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