Multiply and write in standard form:<br> (2x)(x^2 - 6x + 3)<br> Show all work for full credit.

What is the expression and answer

swat32

Answer:

Step-by-step explanation:

<em>L</em> is 2* <em>W</em> so L=2W

perimeter= 2w+2l

plug in whats given to get

perimeter=2w+4w 4w is because L is *2 of W so that makes L=2w

36=6w

36/6=6

6w/6=w

w=6

6*2=12=L

now we have 6*12=72=Area

3 0

3 years ago

Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each

emmasim [6.3K]

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

$A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2$

Jake wants to increase the area by 50%, so the new area would be:

$A'=168(1.5) \\ \\ A'=252ft^2$

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

$(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives$

Finally:

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

6 0

3 years ago

Help I really need to do this

coldgirl [10]

I'm so sorry if this is wrong but it might be 24.

4 0

3 years ago

Solve forx.<br> (2x - 1) (5x+3) = 0

Elena L [17]

See photo for answer

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

5 0

3 years ago

Read 2 more answers

You have a 20% off coupon to use at the store. Your total was $80 before the discount. H

12345 [234]

Answer:

C) $64

Step-by-step explanation:

(80 x 20)/100 = $16.00

Final Price:

80 - 16.00 = $64.00

4 0

3 years ago

Multiply and write in standard form: (2x)(x^2 - 6x + 3) Show all work for full credit.