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:
Cube
Step-by-step explanation:
The base shape of a cube is a square
If you won 2 blue cards, then you lose 3 grey cards
If you won 4 blue cards, then you lost 6 grey cards (multiply by 2)
If you won 6 blue cards, then you lost 9 grey cards (multiply by 3)
If you won 8 blue cards, then you lost 12 grey cards (multiply by 4)
Answer: A) you lost 12 grey cards
Another way to see this answer is to solve the proportion below
2/3 = 8/x
2*x = 8*3
2x = 24
x = 24/2
x = 12
Answer:
(a)
(b) 21 miles
Step-by-step explanation:
(a) From the question,
b = 3a
c = 2b = 2 × 3a = 6a
The total length of the road = a + b + c = a + 3a + 6a = 10a
The fraction of the total length of the roads that is a
=
(b) If b is 7 miles longer than a, then
b - a = 7
3a - a = 7
2a = 7
a = 3.5
c = 6a = 6 × 3.5 = 21 miles
Answer:
Three possibilities include:
sqrt36 x sqrt64
sqrt144 x sqrt16
sqrt9 x sqrt256
Step-by-step explanation:
Take any two factors of 48 and square them,
Put these numbers into radical boxes and there you are.
Example:
6 x 8 = 48
so 6^2 = 36 and 8^2=64
and you have sqrt36 x sqrt64
Hope this helps