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:
Hello, hope this will help:)
Answer:
x= 14
Step-by-step explanation:
First (and only) we subtract 17 from both sides :
17 + x - 17 = 31 - 17
x = 31 - 17
x = 14
Hope this helped and have a good day
Answer:
z = 42
Step-by-step explanation:
The question can be answered in 2 steps as follows:
Step 1: Calculation of the constant of the variation
The equation for the joint variation can be given as follows:
z = cxy ................... (1)
Where;
z = 60
c = constant = ?
x = 5
y = 6
Substituting the values into equation (1) and solve c, we have:
60 = c * 5 * 6
60 = c * 30
c = 60 / 30
c = 2
Step 2: find z when x = 7 and y = 3
Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:
z = 2 * 7 * 3
z = 42
