Given:

where,
.
To find:
The value of
.
Solution:
We have,

Differentiate with respect to x.

Using chain rule, we get

Now, put x=5.

![[\because g(5)=-1,g'(5)=8]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%285%29%3D-1%2Cg%27%285%29%3D8%5D)
![[\because f'(-1)=3]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%27%28-1%29%3D3%5D)

Therefore, the value of
is 24.
the equation to solve these problems is:

1)175*85=100x
x=148.75
2)76*100=80x
x=95
3) 96*100=160x
x=60
4)85*120=100x
x=102
5)56*100=75x
x=74.66
Answer: The length of the arc is 1.57 centimeters
Step-by-step explanation: If the diameter has been given as 4 centimeters, then the radius would be diameter divided by 2, and that equals 2.
With the radius now known as 2, we can calculate the length of the arc as follows;
Length of an arc = (Ω/360) x 2πr
Where Ω is the angle subtended by the radio and r is the radius.
Length of an arc = (45/360) x 2 x 3.14 x 2
Length of an arc = (1/8) x 12.56
Length of an arc = 1.57
Therefore, the length of the arc is 1.57 centimeters
Answer:
260%
Step-by-step explanation:
To solve how much the percentage increase cost of Jo's car insurance is, we first need to list down our variables.
1st year = £245
2nd year = £883
First off, we need to find the difference of the two.
Increase = £883 - £245
Increase = £638
Now to find the percentage increase, we take our increase and divide it by our 1st year's payment and multiply it by 100.
Percentage increase = 
Percentage increase = 
Percentage increase = 260%
So the percentage increase of last years payment to this years payment is 260%.
Answer/explanation
4(3x+5)=-4
You will distribute the four to every term in the parenthesis,
12x+20=-4
Then you will combine like terms
12x+20=-4
-20 -20
12x=-24
Then you will divide 12 to isolate x

Obviously, -24 cancels out and you would get x=-2