Answer:
the base value for X in the math world is 1... but you cant see it.
Step-by-step explanation:
1) The given equation is 3x-3y=15
To solve for y we subtract 3x both sides:
3x-3x-3y=-3x+15
-3y=-3x+15
With y term -3 is multiplied .We perform the opposite operation both sides that is divide by -3 both sides we have:
y=x-5
Option A :y=x-5 is the right answer.
2) |2x-1|=3
We can remove the absolute sign by forming equations taking both the positive and negative signs:
2x-1=3 or 2x-1=-3
Solving the two equations for x:
2x=3+1 or 2x=-3+1
2x=4 ,x=2. 2x=-2 , x=-1 .
Option a)x=2 or x=-1 is the right answer.
3) 2< 3x-1 ≤ 5
Adding 1 to all the sides we have:
3<3x≤ 6
Dividing by 3 :
1<x≤ 2.
We are given
Vertical asymptotes:
Firstly, we will factor numerator and denominator
we get

We can see that (x-3) is common in both numerator and denominator
so, we will only set x+3 to 0
and then we can find vertical asymptote


Hole:
We can see that (x-3) is common in both numerator and denominator
so, hole will be at x-3=0

Horizontal asymptote:
We can see that degree of numerator is 2
degree of denominator is also 2
for finding horizontal asymptote, we find ratio of leading coefficients of numerator and denominator
and we get
y=1
now, we can draw graph
Graph:
Answer:
n=37
Step-by-step explanation:
Two lines intersect and create vertical angles.
The vertical angles are 
We know that vertical angles (also called vertically opposite angles) are equal. Therefore:

Answer:
an + 1 = an + 2n -1 ,a 1=1
a8= 50
Step-by-step explanation:
an+1=an+2n-1,a1=1
a6=a5+2x5-1
a6=26
a7=26+11
a7=37
a8=37+13
a8=50