Answer:
The equation is y= 2x+5
Step-by-step explanation:
Lets find the slope of the line through the points (-2,1) and (-4,-3).
where x1 = -2, y1= 1, x2= -4, y2 = -3.
Now apply slope formula:
m= y2-y1/ x2-x1
m= -3-1/-4-(-2)
m = -4/-4+2
m= -4/-2
Divide the term by 2:
m = 2
Now we will apply point slope formula:
y-y1 = m (x-x1)
Now substitute the values in the formula:
y-1=2(x-(-2))
y-1 =2(x+2)
y-1=2x+4
Now combine the constants:
y= 2x+4+1
y=2x+5
So the equation is y= 2x+5 ....
There are no factors.
1*24
2*12
3*8
4*6
That equals 18 since the distance from zero is 18.
Hope i'm the brainliest!
Let the weights of the cashews and peanuts be c and p respectively. Then:
c + p = 10 lb.
The related cost equation is 5.80c + 2.20p = 3.64(c+p).
Because c + p = 10 lb, the previous equation is equivalent to:
5.80c + 2.20p = 3.64(10) = 36.40
Solving c + p for c, we get c = 10 - p. Then, the last equation becomes:
5.80(10-p) + 2.20p = 36.40, or 58 - 5.8p = 36.4. Solving for p:
-5.8p = 36.4 - 58, or -5.8p = -21.6. Finally, p = 3.72 lb.
Since c + p = 10 (lb), c = 10-3.72 (lb), or c = 6.28 lb.
He must make this 10-lb mixture as follows: 6.28 lb of cashews and 3.72 lb of peanuts.
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.
