Answer:
Domain: all real numbers
Range: less than/equal to -2
Answer:
8 and 6
Step-by-step explanation:
If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.
You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.
The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.
Next, we add 10 to both sides. This gives 8x=64.
From there, we isolate the x by dividing both sides by 8, giving x=8.
To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).
This comes to y=8-2, therefore y=6.
**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!
The next term is double the previous term, so that the 
-th term is given recursively by
This rule tells us that
and so on, with the explicit rule
for 
.
If 512 is the 
-th term in the sequence, then
Answer:
See attached graph
Step-by-step explanation:
