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Musya8 [376]
3 years ago
11

What is the product of (2p + 7)(3p2 + 4p – 3)?

Mathematics
2 answers:
sveticcg [70]3 years ago
8 0

Answer:

6p^{3} +29p^{2} +22p-21

Step-by-step explanation:

This is a polynomial product where we have to apply distributive property and exponent properties (image is attached).

So, applying distributive property:

(2p + 7)(3p^{2}  + 4p-3)\\6p^{3}+8p^{2}-6p+21p^{2}+28p-21

Then, we reduce like terms:

6p^{3} +29p^{2} +22p-21

<h3><em>Therefore, the product is </em></h3>

6p^{3} +29p^{2} +22p-21

liraira [26]3 years ago
5 0
(2p + 7)(3p^2 + 4p - 3) = 2p(3p^2 + 4p - 3) + 7(3p^2 + 4p - 3) =
6p^3 + 8p^2 - 6p + 21p^2 + 28p - 21 =
6p^3 + 29p^2 + 22p - 21 <===
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Translate the given statement into propositional logic using proposition provided :
olya-2409 [2.1K]

Answer: m ⇒ e ∨ p

Step-by-step explanation:

First look at the statement and locate the connectives ( these are words which connect sentences such as: and, or, implies, is equivalent and not.) Each of these connectives have a symbol/ variable.  

  • In this case the connectives are "only if" and "or" these are important because we will not attach propositional variables to them, where:

⇒ = " only if"

∨ = "or"

  • Convert the phrases into variables where:

m = " You can see the movie"

e = "You are over 18 years old"

p = " you have the permission of a parent"

  • Construct the statement sequentially.

You can see the movie (m) only if (⇒) you are over 18 years old (e) or (∨) you have the permission of a parent (p)

  • Remove the phrases and you'll have your answer:

m ⇒ e ∨ p

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2 years ago
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3 years ago
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The following table shows the length and width of a rectangle: Length Width Rectangle A 3x 2 2x − 1 Which expression is the resu
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The perimeter of a rectangle is 10x + 2 which is a polynomial function. Option C is the correct answer.

<h3>What is a perimeter?</h3>

A perimeter is a closed path that outlines either a two-dimensional shape or a one-dimensional length.

Given that the length is 3x+2 and the width is 2x-1. The perimeter of a rectangle is given below.

P = 2 (L + W)

P = 2 ( 3x+2 + 2x-1)

P = 2 ( 5x +1)

P =10x +2

A polynomial function is a function that involves only positive integer exponents of a variable in an equation.

Hence we can conclude that the perimeter of a rectangle is 10x + 2 which is a polynomial function. Option C is the correct answer.

To know more about the perimeter, follow the link given below.

brainly.com/question/6465134.

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