Multiply (x−3)(x+2)

Mathematics

2 answers:

Phantasy [73]4 years ago

4 0

We FOIL, multiply firsts, outers, inners and lasts, and add them all up.

(x-3)(x+2) = x·x + 2x - 3x + (-3)(2) = x² - x - 6

Answer: x² - x - 6

LenKa [72]4 years ago

3 0

Answer:

x^2 - x - 6

Step-by-step explanation:

(x - 3) (x + 2)

you can use the distributive property and multiply
first, you multiply the first x by the second x.
that would be x^2.
then, you multiply the first x by 2.
which is 2x. by now you should have x^2 + 2x.
now, you multiply -3 by the second x.
this equals -3x.
now, you have x^2 + 2x - 3x.
next, you multiply -3 by +2.
this would result in -6.
now combine all of the solutions you got and you should have:
x^2 + 2x - 3x - 6
the last step is to combine like terms.
x^2 is an only term, so leave that alone.
+2x and -3x are like terms. so, you want to add these.
that would remain as x^2 - x
now, -6 is an only term as well. so, just leave that in the end.
in conclusion, your answer is x^2 - x - 6

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Can someone show me how to do Mean absolute deviation

morpeh [17]

To find the mean of a set, add up all of the numbers and divide by how many numbers you have. For the first set:
$\mu=\frac{10.7+2.4}2=\frac{13.1}2=6.55$
For the second set:
$\mu=\frac{13.7+2.5}2=\frac{16.2}2=8.1$

To find the mean absolute deviation, (MAD) find the mean of the distances of each number from the mean.
For the first set:
$MAD=\frac{|10.7-6.55|+|2.4-6.55|}2=\frac{4.15+4.15}2=\frac{8.3}2=4.15$
For the second set:
$MAD=\frac{|13.7-8.1|+|2.5-8.1|}2=\frac{5.6+5.6}2=\frac{11.2}2=5.6$
Note that when you only have two data points the mean is directly between them, which is why the distances are the same.

The means-to-MAD ratio is simply that, divide one by the other and that's it.
For the first set:
$6.55\div4.15=1.57831325$
For the second set:
$8.1\div5.6=1.44642857$