Plz show work and help me

Mathematics

2 answers:

dybincka [34]3 years ago

7 0

I'm sorry but that is a hard question,I hope someone gives you a good answer unlike me.you probably don't want my answer though cause I'm pretty dumb.good luck with everything :)

vodomira [7]3 years ago

6 0

ok that is easy but it is sideways so I cant read it well I am dislexic

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I need help with this question, please. This is non graded.

zaharov [31]

The rule of the volume of the rectangular prism is

$V=L\times W\times H$

L is the length

W is the width

H is the height

From the attached picture we can see

L = (2x - 3)

W = (x + 1)

H = (3x + 4)

We will substitute them in the rule above

$V=(2x-3)(x+1)(3x+4)$

We will multiply the first 2 brackets, then multiply the answer by the 3rd bracket

$\begin{gathered} (2x-3)(x+1)=(2x)(x)+(2x)(1)+(-3)(x)+(-3)(1) \\ (2x-3)(x+1)=2x^2+2x-3x-3 \\ (2x-3)(x+1)=2x^2-x-3 \end{gathered}$

Multiply this answer by the 3rd bracket

$\begin{gathered} (2x^2-x-3)(3x+4)= \\ \left(2x^2\right)\left(3x\right)+\left(2x^2\right)\left(4\right)+\left(-x\right)(3x)+(-x)(4)+(-3)(3x)+(-3)(4)= \\ 6x^3+8x^2-3x^2-4x-9x-12= \\ 6x^3+5x^2-13x-12 \end{gathered}$

Then the volume of the prism is