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4 years ago

6

The length of a rectangle is 3/2 units greater than its width. If the width is w, which expression gives the perimeter of the re

ctangle in terms of its width?

2 answers:

faltersainse [42]4 years ago

7 0

W+w+(3/2+w)+(3/2+w)=perimeter
4w+6/2=perimeter

Vlada [557]4 years ago

3 0

The answer would be:
P=2W+(W+3/2)*2
P=2W+2W+3
P=4W+3

Width is w
Length is w+3/2

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Solve the inequality: 2x + 10 > 16

tino4ka555 [31]

Answer:

x > 3

Step-by-step explanation:

<u>Move the Constant to the right</u>

2x > 16 - 10

<u>Subtract the numbers</u>

2x > 6

<u>Divide both sides of the inequality by 2</u>

x > 3

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3 years ago

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Multiply the following polynomial and write the resulting polynomial in descending order. (3x-8)(2x^2+4x-9)

Step2247 [10]

$(3x-8)(2x^2+4x-9)=6x^3+12x^2-27x-16x^2-32x+72=6x^3-4x^2-59x+72$

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3 years ago

Which factorization is incorrect? 1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4)(x + 1)2 2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)2 3) 2

Andru [333]

Answer:

The second option is the incorrect:

2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2

Step-by-step explanation:

Let's check each one of the factorizations:

1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4)(x + 1)^2

(x + 4)(x + 1)^2 = (x + 4)(x2 + 2x + 1) = x3 + 6x2 + 9x + 4

x3 + 5x2 + 4x + x2 + 5x + 4 = x3 + 6x2 + 9x + 4

This one is correct.

2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2

(d – 1)(2d – 3)^2 = (d - 1)(4d2 - 12d + 9) = 4d3 - 16d2 + 21d - 9

4d3 – 4d2 – 9d + 9 = 4d3 - 16d2 + 21d - 9

This one is incorrect.

3) 27h3 – 8k3 = (3h – 2k)(9h2 + 6hk + 4k2 )

(3h – 2k)(9h2 + 6hk + 4k2 ) = 27h3 - 8k3

This one is correct.

4) 64 – 9t2 = (8 + 3t)(8 – 3t)

(8 + 3t)(8 – 3t) = 64 - 9t2

This one is correct.

So the incorrect option is the second one.

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3 years ago

Im having a hard time on this question and I hope you can help.

Masja [62]

The answer would be x ≠ 0

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

First start with the left side, doing distributive property

So... -2(x) = -2x and -2(5) = -10 Therefore on the left side you now have -2x -10

Next do the same on the right side

-2(x) = - 2x and -2(-2) = 4 so you have -2x + 4 + 5 and you add 4 and 5, leaving you with -2x + 9

Now that you have simplified both sides the problem now looks like this:

-2x - 10 = -2x + 9

Because you have equal terms on both sides (-2) those cancel out so you have -10 = 9

Just from looking at this we know that the statement is false because -1o does not equal 9

*The symbol, "≠" means not equal to"

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3 years ago

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