The limit is x---->4-
The negative show that x approaches from the left
Now
As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.
Let's pick a Number
Say 3.99
Substitute this... You have
3.99/3.99-4
3.99/-0.01
If we choose x to be 3.999
we will have
3.999/-0.001
Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY
Why?
As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result
In our case... The denominator is negative... So it Will Approach a very Huge Negative Number
Hence
Answer.. X WILL APPROACH NEGATIVE INFINITY.
Vertical asymptotes are the zeroes of the denominator of a function
The denom. is x-4
Equate to zero to get the asymptote
x-4=0
x=4
Hence... There will be a vertical asymptote at x=4.
Have a great day!
Answer:
28
Step-by-step explanation:
Here is the complete question used in answering this question :
Three-fourths of the boats in the marina are white. 4/7 of the remaining boats are blue , and the rest are red . If there are 9red boats, how many boats are in the marina?
We first have to determine the fraction of the boats that are red
1 - ( + )
1 -
1 -
1 - 1
= 9/28
so, 9/28 of the boats are red
let b represent the total number of boats
9/28 x b = 9
to find b, divide both sides of the equation by 28/9
b = 28
Since perimeter means adding all 4 sides, you divide 86 divided by 4 equals = 21.5. Then do 21.5 + 21.5 which equals 43. And 43 + 43 = 86. So two sides are 21.5, and the other two sides are 43. So 21.5 < 43. 21.5 is the shortest sides. Hope this Helps!
It's 3.00 boom son gghjjj