Answer:
The equation of the line is 6y = 7x + 23
Step-by-step explanation:
We begin by calculating the slope of the line;
mathematically, the slope is given by;
m = (y2-y1)/(x2-x1)
That would be;
m= (5-(-2))/(1-(-5))
m = 7/6
So the equation becomes;
y = 7/6x + b
We below need to get the value of the y-intercept b
We get this by making a substitution for any of the two points
Let’s say we make the substitution for (-5,-2) in which case y = -2 and x = -5
Thus, we have
-2 = 7/6(-5) + b
-2 = -35/6 + b
b = -2 + 35/6
b = (-12+ 35)/6 = 23/6
So we have;
y = 7/6x + 23/6
let’s multiply through by 6
6y = 7x + 23
39393939/5555 = 7091.61 so each gets 7091 carrots.
There will be 3434 carrots left over
To spend a total of $135, Camille would have bought 27 tickets at $5 each.
Answer:
Step-by-step explanation:
We are asked to find the tangent line approximation for 
near 
.
We will use linear approximation formula for a tangent line 
of a function 
at 
to solve our given problem.
Let us find value of function at as:
Now, we will find derivative of given function as:
Let us find derivative at
Upon substituting our given values in linear approximation formula, we will get:
Therefore, our required tangent line for approximation would be .
