Factor the GCF: −6m2 + 18m − 36.
2 answers:
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Given that the sample mean is μ=74 and sample standard deviation σₓ=.
Thge Z- score is .
Now we use the Z-score to calculate the required probability.
Refer to standard normal distribution table.
The required probability is
By using sin you can find BD. Sin is the opposite side/ hypotenuse. This can be simplified to BD = opposite (4) divided by sin(27). 27 is the angle.
Parts a and b are straight-forward. You add them in part a: 4x + 9 + 3x - 5 and you get 7x + 4. For part b, you are multiplying them (4x + 9)(3x - 5) by FOILing them: 
which simplifies to 
The last one is a composite; you are told to find a of b of x. The way you do that is to take your inside function and put that whole function into the other function every place you see an x, like this:
a(b(x))= 4(3x-5) + 9. Now distribute the 4 into the parenthesis to get 12x - 20 + 9, which simplifies to 12x - 11. And that's it!
The last one is a composite; you are told to find a of b of x. The way you do that is to take your inside function and put that whole function into the other function every place you see an x, like this:
a(b(x))= 4(3x-5) + 9. Now distribute the 4 into the parenthesis to get 12x - 20 + 9, which simplifies to 12x - 11. And that's it!