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DIA [1.3K]
3 years ago
13

What expression is equivalent to the polynomial given. (4x+3)(3x-8)

Mathematics
2 answers:
alexandr1967 [171]3 years ago
5 0

=  > (4x + 3)(3x - 8) \\  \\  =  > 4x \times 3x - 4x \times 8 + 3x \times 3 - 8 \times 3 \\  \\  =  > 12 {x}^{2}  - 32x + 9x - 24 \\  \\  =  > 12 {x}^{2}  - 23x - 24
olya-2409 [2.1K]3 years ago
3 0
The equivalent polynomial is 12x^2 -23x - 24.

You can get this by multiplying the two parenthesis by each other. 

 First start by multiplying the two front numbers:
4x * 3x = 12x^2

Then multiply the outermost numbers:
4x * -8 = -32x

Then multiply the innermost numbers:
3x * 3 = 9x

Then multiply the last numbers: 
3* -8 = -24

Now combine all of them to get the above polynomial. 
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Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea
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Answer: 56,900\left( 0.919\right)^x

Step-by-step explanation:

Given

Marcos purchased a sailboat for \$56,900

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After 1 year it is

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after another year it becomes

\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2

After x years it is

\Rightarrow 56,900\left( 1-0.081\right)^x

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