Answer: x y
-2 15
-1 9
0 7
1 9
2 15
3 25
Step-by-step explanation:you always do the exponent first, then you multiply that by that two, and then you add 7.
Answer:
C. ![\lim_{x\rightarrow f(x)=2](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Crightarrow%20f%28x%29%3D2)
Step-by-step explanation:
Given problem is
.
Now we need to evaluate the given limit.
If we plug
, into given problem then we will get 0/0 form which is an indeterminate form so we can apply L Hospitals rule
take derivative of numerator and denominator
![\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Crightarrow%20%5Cfrac%7B%5Cpi%7D%7B4%7D%7D%5Cfrac%7Btan%28x%29-1%7D%7Bx-%5Cfrac%7B%5Cpi%7D%7B4%7D%7D)
![=\lim_{x\rightarrow \frac{\pi}{4}}\frac{sec^2(x)-0}{1-0}](https://tex.z-dn.net/?f=%3D%5Clim_%7Bx%5Crightarrow%20%5Cfrac%7B%5Cpi%7D%7B4%7D%7D%5Cfrac%7Bsec%5E2%28x%29-0%7D%7B1-0%7D)
![=\frac{sec^2(\frac{\pi}{4})-0}{1-0}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bsec%5E2%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29-0%7D%7B1-0%7D)
![=\frac{(\sqrt{2})^2}{1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28%5Csqrt%7B2%7D%29%5E2%7D%7B1%7D)
![=\frac{2}{1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B1%7D)
=2
Hence choice C is correct.
Simple...
you have: -7=c-6
You want to isolate the variable c
-7=c-6
-7=c-6
+6 +6
-1=c
Thus, your answer.
For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))
The expression is equivalent to 49/8.