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2 years ago

Could someone please help answer this, please no spam, will give brainliest, thank you!

Mathematics

1 answer:

Jobisdone [24]2 years ago

4 0

Answer:

$x>-5$

Step-by-step explanation:

$\frac{-1}{5} x+1$

Subtract 1 from both sides

$\frac{-1}{5} x+1-1$

Simplify

$\frac{-1}{5} x$

Multiply both sides by -1, which reverses the inequality also

$\frac{-1}{5} x(-1)>1(-1)$

Simplify

$\frac{1}{5} x>-1$

Multiply both sides by 5

$5*\frac{1}{5} x>5(-1)$

Simplify

$x>-5$

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What are the dimensions of the matrix?

emmasim [6.3K]

Answer:

4 x 3

Step-by-step explanation:

The order of a matrix is given by stating the number of rows followed by the number of columns.

The matrix here has 4 rows and 3 columns thus order is

4 x 3

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3 years ago

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.

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3 years ago

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Answer:

Step-by-step explanation:

6 0

3 years ago

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andreyandreev [35.5K]

Answer:

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2 years ago

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2 years ago

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