Given that the steps are not shown, I am going to show you all the rigtht steps in detail and so you will be able to compare and tell which step from you list contains an error:
1) Traslation into algebraic language:
<span>“three less than the quotient of a number squared and nine, increased by eight”
3 - (n^2) / 9
2) Evaluate it when n = 6 (replace the value of n)
3 - (3^2) / 9
3) solve the parenthesis
3 - 9/9
4) divide 9/9
3 - 1
5) Subtract
2
</span>
Now you know all the steps and can tell which of the steps on the list is wrong.
Let x represent the amount of money he invested at 11% and y money he invested at 12%. Now we write system of equations:
x*1.11 + y*1.12 = 70 000 + 7900
x + y = 70 000
We will multiply second equation with 1.11
x*1.11 + y*1.11 = 77700
and subtract if from first:
0.01*y = 200
y = 20000
x = 70000 - 20000 = 50000
c^2 = a^2 + b^2 - 2*ab*Cos(C)
c = 16; a = 17; b = 8 (what you call a and b don't really matter. c does). Substitute.
16^2 = 17^2 + 8^2 - 2*17*8*Cos(C) Add the first 2 on the right.
256 = 289 + 64 - 282*cos(C)
256 = 353 - 282*cos(C)
Whatever you do, don't do any more combing on the right side. Subtract 353 from both sides.
-97 = -282 * cos(C )
Divide by 282
0.34397 = cos(C)
cos-1(0.34397) = C ; C = 69.88 degrees.
Do you need more help on this question? All of these are done the same way.
I don't know what rosters form is but the integers are -5, -4, -3, -2, and -1.
The students would show no regard for the money being spent because it is not their money