CoolStuffYT

1) Factor out (a      )(3a      )

See the multiples of -8 and have them add up to -10 when one of them is multiplied by 3.

You get \((a-4)(3a+2)\)

2) The multiples of -3 are 1, -3 and -1, 3 and after trying out we get \((15x^2+3)(2x-1)\)

3) We see that we can do a difference of squares. \((4+5\sqrt x)(4-5\sqrt x)\) .

4) This equals \(4(a^2-4a+4)-81=4a^2-16a+16-81=4a^2-16a-65\)

Factor \(4a^2-16a-65=(2a+5)(2a-13)\) .

You are very welcome!

:P

(also thanks PartialMathematician for pointing out a mistake!)

This is not exactly worded correctly. Technically, the square area has a maximum area of \(1.5625m^2\) as  \((5/4)^2=1.5625\) .

The minimum area is \(0m^2\) because \((0.0...1)^2=0\).

You are very welcome!

:P

When we graph the points we see that the Line of Best Fit is extremely close to all the points, but not perfect.

Therefore, it is a High Positive Correlation.

Expand \(x^2(x^2+4y^2)\) to \(x^4+4x^2y^2\) , now subtract \(2x^2y^2\) from it and get \(x^4+2x^2y^2\) , which is the first answer.

Second, we've already expanded it so put \(x^4+4x^2y^2\) in the second blank, and same with the third blank because they are the same.

You are very welcome!

:P

Wow, now I get it, thanks Melody (and everyone else too)!