Answer:
The manufacturer must produce 35 units to break even.
Step-by-step explanation:
The break even function is when those functions, the revenue R(x) and the cost C(x), are equal. So




So we have to solve this quadratic function to find the number of units that the manufacturer must produce to break even:
Solving a quadratic function:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this problem, we have that:

So




The manufacturer produces between 0 and 100 units. So the answer is 35.
The manufacturer must produce 35 units to break even.
To do this, you would need to use synthetic division.
-2 | 4 -3 10
-8 22
4 -11 32
Your reminder would be 32.
Sorry if my graph of synthetic division is a bit messy, you can only do so much on a phone!
Answer:
Step-by-step explanation:
Answer:
thx for points
Step-by-step explanation:
Answer:
y +2 = 2(x +3)
Step-by-step explanation:
The equation in point-slope form for a line with slope m through point (h, k) is ...
y -k = m(x -h)
The slope of your given line is the coefficient of x, -1/2. The slope of a perpendicular line will be the negative reciprocal of that: -1/(-1/2) = 2. So, you have m = 2, (h, k) = (-3, -2), and your desired equation is ...
y -(-2) = 2(x -(-3)) . . . . . . which can be simplified to ...
y +2 = 2(x +3)