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balu736 [363]
3 years ago
12

What is the product of 2X plus 3 and 4X squared minus 5X plus 6

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0
The product of something means multiplying the terms together.

(2x+3) (4x^2-5x+6)

Secondly you need to distribute the terms to each other (Think of problems like FOIL)

2x * 4x^2 + 2x(-5x) + 2x * 6 + 3 * 4x^2 + 3(-5x) + 3 * 6

Then you must take into account that some of the numbers are negative. (minus-plus rules!)

2x * 4x^2 - 2x * 5x + 2x * 6 + 3 * 4x^2 - 3 * 5x + 3 * 6

Now is the tricky part of simplifying everything. 

2x * 4x^2 = 8x^3 

2x * 5x = 10x^2

2x * 6 = 12x

3 * 4x^2 = 12x^2

3 * 5x = 15x

3 * 6 = 18

8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18

Then you group like terms.

8x^3 - 10x^2 + 12x^2 - 3x + 18

8x^2 + 2x^2 - 3x + 18

The trickiest part of this is distributing all of the terms within the parentheses, once you've done that, it's smooth sailing!


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Possible solution for 4+x+2-2x=5
MrRissso [65]

Answer:

x=1

Step-by-step explanation:

For algebra always start by rewriting it.

4+x+2-2x=5

Then ask yourself is there any like terms we can combine, and here yes there is. 4 and 2 and x and -2x. Now lets combine them and rewrite.

6-x=5

Now lets get x alone and the quickest way is to subtract 6 to the other side

6-x=5

-6    -6

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Your answer is

x=1

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3 years ago
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Step-by-step explanation:

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3 years ago
Krystal’s poster project for reading class is 2 feet high and 1 1 2 feet wide. Her friend Victoria’s poster is 4 feet high and 1
Bess [88]

The area of Victoria's poster is twice the area of Krystal's poster.

<h3>How compare the areas of two similar posters</h3>

The two areas are shown in the image attached below. Each poster represents a rectangle and the ratio between the two areas (r_{A}), no unit, is defined by the following formula:

r_{A} = \frac{w_{V}\cdot h_{V}}{w_{K}\cdot h_{K}}     (1)

Where:

  • w_{V} - Width of Victoria's poster, in feet.
  • h_{V} - Height of Victoria's poster, in feet.
  • w_{K} - Width of Krystal's poster, in feet.
  • h_{K} - Height of Krystal's poster, in feet.

If we know that h_{V} = 4\,ft, w_{V} = 1.5\,ft, h_{K} = 2\,ft and w_{K} = 1.5\,ft, then the ratio between the two areas is:

r_{A} = \frac{(4)\cdot (1.5)}{(2)\cdot (1.5)}

r_{A} = 2

The area of Victoria's poster is twice the area of Krystal's poster. \blacksquare

To learn more on ratios, we kindly invite to check this verified question: brainly.com/question/1504221

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2 years ago
-2 x 3/7<br> please help me!
Dimas [21]

Step-by-step explanation:

-2 x 3/7 = (-2 x 3) /7

= -6/7

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3 years ago
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