G(2w)=(2w)²-2(2w)+1
g(2w)=4w²-4w+1
For this case we have the following system of equations:
5x + 3y = 17
-8x - 3y = 9
The solution to this system can be written in matrix form as:
Ax = b
Where, A is a matrix that is given by:
A = [5 3; -8 -3]
The determinant of this matrix 2 * 2 is given by:
lAl = (5) * (- 3) - (3) * (- 8)
lAl = -15 - (-24)
lAl = -15 + 24
lAl = 9
Answer:
The determinant for solving this linear system is:
lAl = 9
Answer: I think this is the answer but I got 4877. Just substitute the value of the variable into the equation and simplify.
I hope this helps you and good luck! ☺
13. Pick a point and see which formula works.
Ay = -4, A'y = 7. Only the formula of selection D makes that translation.
14. Use the compound interest formula A = P*(1 +r/n)^(nt).
..1500*1.015^80 = 4935.99, matching selection C
15. The lid has a perimeter of 90", so the area of the sides is
.. 90" * 24" = 2160 in^2
The area of the lid is
.. 30" * 15" = 450 in^2
The gray area is (2160 -450) in^2 = 1710 in^2 larger, corresponding to selection C.
16. The only formula that maps (7, -1) to (21, -3) is that of selection D.
_____
The middle two problems are the only ones that require you to have prior knowledge. The others could be answered simply by seeing if the answers work.
Answer:
See below
Step-by-step explanation:
By definition:
We want to show that:
We substitute into the left side to get:
We apply exponential rule to get:
We expand:
