In order to find the number of chips that would result in the minimum cost, we take the first derivative of the given equation. Note that the derivative refers to the slope of the graph at a given point. We can utilize this concept knowing that at the minimum or maximum point of a graph, the slope is zero.
Taking the derivative of the given equation and equating it to zero, we have:
y' = (0.000015)(2)x - (0.03)x° + 0
0 = (0.00003)x - 0.03
Solving for x or the number of chips produced, we have x = 1000. We then substitute this value in the given equation, such that,
y = (0.000015)(1000)² - (0.03)(1000) + 35
The minimized cost, y, to produce 1000 chips is then calculated to be $20.
Answer:
I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.
Step-by-step explanation:
We are given the points (-2, -4) and (-1, -1)
We need to find the slope.
The equation to do so is y2 - y1 / x2 - x1
lest say:
-2 is x1
-4 is y1
-1 is x2
-1 is y2
-1 - (-4) / -1 - (-2)
3/1 = 3
slope (m) = 3
We already know the y-intercept is 2
The equation of a line is y = mx + b
For this problem we just have to substitute what we already know.
y = (slope)x + y-intercept
y = 3x + 2
*TIP*
If the y-intercept is negative, let's say: b = -5 (using slope 8)
the equation will be y = 8x - 5
Hope this helps. I wish you all the best. :)
Answer:
55 degrees
Step-by-step explanation:
angle adds up to 360. your equation would be 360 = 2(125) + 2(angleN)
We can solve this problem by using the distance formula. The distance formula is: 
We can now put in values and solve.
Answer:
x = 1
y = -1
Point = (1,-1)
Step-by-step explanation:
2x + 3y = -1 = y = -2/3 - 1/3
5x + 2(-2/3 - 1/3) = 3
5x - 1 1/3 - 2/3 = 3
5x - 2 = 3
<u> +2 +2</u>
5x = 5
<em><u>x = 1</u></em>
2(1) + 3y = -1
2 + 3y = -1
<u>-2 -2</u>
3y = -3
<em><u>y = -1</u></em>
