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3 years ago

What is the value of 6n - 2 when n = 3?12 16 12 7 6

Mathematics

1 answer:

svet-max [94.6K]3 years ago

4 0

Answer:

the answer is 16

Step-by-step explanation:

We already know that n = 3, so let's put 3 instead of n:

6(3) - 2

Then, we need to get rid of the parenthesis:

6 * 3 = 18

We got 18 - 2.

Finally, we simplify:

18 - 2 = 16

And we're done!

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A rectangle has a length that is three feet more than twice it’s width. If the area of the rectangle is 90 square feet, then alg

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Answer:

$Length=27feet\\Width=12 feet$

Step-by-step explanation:

Let, the length of the rectangle be 'L'

and, width of the rectangle be 'W'

length=2*Width+3

$L=(2W+3) feet\\\\$

Area of the rectangle= 90 square feet

Area of a rectangle = Length*Width

$90=(2W+3)*W\\\\2W^2+3W=90\\\\2W^2+3W-90=0\\\\$

Using Factorization Method to solve quadratic equation:

$2W^2-12W+15W-90=0$

Taking common from the equation:

$2W(W-12)+15(W-12)=90\\\\(W-12)(2W+15)=0\\\\W-12=0\\\\W=12 feet$

$2W+15=0\\\\2W=-15\\\\W=-7.5 feet$

The Width cannot be negative, therefore Width(W)=12 feet

$Length=2*Width+3\\\\=(12*2)+3\\\\=24+3\\\\=27 feet$

$Length=27feet\\Width=12 feet$

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