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!
There are 60 minutes in one hour. So 5/12 of 60 minutes (1 hr) is 25 minutes.
There are 36 inches in one yard. So 2/3 of 36 inches (1 yard) is 24 inches.
Hope this helps.
The inverse would be y=-1/2x+3 because the inverse is the negative of the function. to make the function negative make the slope negative and keep the y-intercept.
I hope I've helped!
Answer:
24
Step-by-step explanation:
In a deck of 52 cards, there are 4 kings and 4 queens
Selection of 3 kings out of 4 = 4 C 3 = 4
Selection of 2 queens out of 4 = 6
So, total number of selections = 4 x 6 = 24
Answer:
29 Minutes
Step-by-step explanation:
The original speed is given in miles per hour (like a car), but the answer is asking for miles per minute, so we must convert the speed into miles per minute first. To do this, we set up this equation: 
which equals 
. We can then divide the desired number of miles by the speed in miles per minute. Here is the eqaution for this 
. The miles cancel and you are just left with 29.1 minutes after you divide 4.9 by 0.168333333. Hope this helps!
