Answer:
4
Step-by-step explanation:
lim (x^2 - 4) / (x - 2)
x --> 2
When we plug x =2, we get
(2^2 - 4) / (2 - 2)
= (4 - 4)/(2 - 2)
= 0 /0
Which is undefined.
Now we have to use L'hospital rule. Which says we need to differentiate the numerator and the denominator and apply the limit.
When we differentiate x^2 -4, we get 2x
When we differentiate x -2, we get 1
lim 2x/1
x --> 2
Now apply, the limit x = 2
2(2)/1
= 4/1
= 4
Therefore, limit of this function is 4, when x tends to 2.
Hope you will understand the concept.
Thank you.
Answer:
Markup of _66.67_ % or $ _33,92_ per pair of boots
Step-by-step explanation:
In order to find the markup per pair of boots, we need to find the sales price BEFORE tax.
That can be done simply with a cross-multiplication (106.25 represents total price with 6.25% tax, and 100 represent amount of sales before tax)
if we isolate x we have x = (90.10 * 100) / 106.25 = $84.80
We can then easily calculate the markup amount, since the boots were sold $84.80 and Marissa paid $50.88, that means her markup amount is $33.92.
Now, let's calculate the markup percentage by see how much $33.92 represents compared to the initial price of $50.88:
$33.92 / $50.88 = 66.67%
mad money petty cash pin cash pocket money and small change
Answer:
Probability of event E = (4/10) = 0.40
Step-by-step explanation:
Note that n(E) is the number of outcomes in E
n(S) is the number of outcomes in S
And with each outcome having equal likelihood of occurring,
SetS = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
n(S) = 10
Event E = {1, 4, 7, 9}.
n(E) = 4
Probability of event E = n(E)/n(S)
Probability of event E = (4/10) = 0.40
Hope this Helps!!
Answer:
(6y+1)(6y-1)
Step-by-step explanation:
Difference of square (You may want to search it up if you want to learn more)
