First, we have to add the fractions.
1/3 + 1/4 = 7/12
12 - 7 = 5
She earns 5/12 of her paycheck on Wednesday
V=pi*r^2*h/3
=> h=3V/(pi*r^2)
V=6pi^2 cm^3
r=3 cm
h=3V/(pi*r^2)=6*pi^2 / (pi*3^2) = 2pi cm
Height = 2 pi cm
It's talking about box and whisker plot
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You stop at 2 decimal points. If the 3rd decimal is bigger than 5, add 1 to the 2nd and if it's less than 5, keep it as it is.
For example:
2.663 --> 2.66
6.788 --> 6.79
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.
1) Multiply the binomial by itself.
(3x - 2)^2 = (3x - 2)(3x - 2) =
Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)
= 9x^2 - 6x - 6x + 4
= 9x^2 - 12x + 4
2) Use the square of a binomial pattern
The square of a binomial is
(a - b)^2 = a^2 - 2ab - b^2
a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.
You have
(3x - 2)^2,
where the first term is 3x, and the second term is -2
square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x
Put it all together, and you get
9x^2 - 12x + 4
just like we got above with the other method.
