Answer:
y = 3x + 1
Step-by-step explanation:
substitute the variables in y=mx+b
(5) = 3(-2) + b
5 = -6 + b
add 6 on each side
1 = b
I'll abbreviate
and
, so the identity to prove is

On the left side, we can simplify a bit:


Then

So the establish the original equality, we need to show that

Combine the fractions:

We can rewrite the denominator as

then using the fact that
, we get

so that we have

as desired.
Answer:
10
Step-by-step explanation:
5 to the power of 2 is 25, and -3 times 5 is -15, so 25-15=10
Answer:
16
Step-by-step explanation:
The common ratio is 36/54 = 2/3.
So the next term is 2/3 (24) = 16.
Answer:
x=1
y=0
Step-by-step explanation:
(x-1)=-2x+2
3x-1=2
3x=3
x=1
-2(1)+2
-2+2=0