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:
X=36
Step-by-step explanation:
3x+72=180
3x=180-72
3x=108
x=36
ANSWER
The correct answer is C
EXPLANATION
We want to find the value of
This is the same as:
We cancel out the common factors to get:
We simplify to get:
The correct answer is C
$2.38/0.40 lb = $5.95/1 lb
The spinach cost $5.95 per pound.
Answer:
Descriptive statistics <u>describe data from surveys and case studies,</u> while inferential statistics <u>determine if data can be generalized to other populations</u>.
Step-by-step explanation:
Let's look at the definition of each type of Statistics
Descriptive Statistics, as the name says, describes, properties or characteristics (that can be gathered through surveys and case studies), using mathematical methods for tendency and dispersion.
Inferential statistics, as the name states, infers, if samples from a larger data set have behaviors that can be then extrapolated to the larger group.
