Answer:
Option 1.1
Step-by-step explanation:
The linearization of a curve implies the use of calculus to find the local value for the derivative and approximating the function by the use of the formula
![F(x) \approx F(x_0) + F'(x_0)(x-x_0)](https://tex.z-dn.net/?f=F%28x%29%20%5Capprox%20F%28x_0%29%20%2B%20F%27%28x_0%29%28x-x_0%29)
The function is given in such way that it's much easier to find the derivative by implicit differentiation than isolating any of the variables
![2x^2y+y=2x+13](https://tex.z-dn.net/?f=2x%5E2y%2By%3D2x%2B13)
Differentiating with respect to x, we have
Computing y' in the given point (3,1) we have
4(3)(1)+2(9)y'+y'=2
![y'=\frac{2-12}{19}](https://tex.z-dn.net/?f=y%27%3D%5Cfrac%7B2-12%7D%7B19%7D)
![y'=-\frac{10}{19}](https://tex.z-dn.net/?f=y%27%3D-%5Cfrac%7B10%7D%7B19%7D)
The function will be approximated with the expression
![F(x) = 1 -\frac{10}{19}(x-3)](https://tex.z-dn.net/?f=F%28x%29%20%3D%201%20-%5Cfrac%7B10%7D%7B19%7D%28x-3%29)
To find the approximate value for x=2.8
The correct value is the option 1.1
Answer:
D
Step-by-step explanation:
100+25 * 12 ; 100+300 = 400 ; difference = 400-320=80 ; percent increase since it is 1 year = 80/320 =1/4=0.25 = 25/100=25%
Answer:
Incomplete question
Complete question;
A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not.
Another group of golfers consists of two members and one nonmember. They paid a total of $75. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?
Answer: X = $82.695 for members
Y = $49.615 for non members
Step-by-step explanation:
Let's use X to denote members and Y for non-members.
Therefore, amount paid by one member to play + amount paid by 7 non-members to play = 430
X + 7Y = 430. . .1
Amount paid by 2 members to play + amount paid by one non-member to play = 215
2X + Y = 215. . .2
Solving both equations simultaneously
X+7Y = 430
2X +Y = 215
Therefore, from eqn 1. X = 430-7y
Substituting this into wan 2 gives
2(430-7Y) + Y = 215
860-14Y + Y = 215
860-215 =13Y
645 = 13y
Y = 49.615
Therefore substituting Y = 49.615 into any equation above
X + 7(49.615) = 430
X = 430-347.05
X = 82.695