Answer:
-39
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
This sequence has first term a1=9 and common difference d=(7.5-9) = -1.5. Then the 33rd term is ...
a33 = 9 -1.5(33 -1) = 9 -48 = -39
The 33rd term is -39.
Answer:
x>2
Step-by-step explanation:
5-x<2(x-3)+5
5-x<2x-6+5
5-x<2x-1
6-x<2x
6<3x
x>2
Answer:
D. 29
Step-by-step explanation:
180 - 151 = 29
Multiply the first equation by -2. It turns into 4x+18y=50 and the other one stays -4x-9y=-23. Then you "eliminate" the equations by "adding" them. Set it up like this:
4x+18y=50
+
-4x-9y=-23
4x-4x= 0. 18y-9y= 9y and 50-23= 27
SO: 9y= 27 and y= 3
And then you plug that in to one equation: 4x +18(3)= 50. 4x= 50-(18*3)
4x= -4, so x=-1.
Plug it back in to check!
Hope this helps. Happy solving! :)
