The slope of the line is -23
<h3>How to determine the
slope of the
line?</h3>
The line’s equation is given in point-slope form:
y − 6 = (−23)(x + 6)
The line’s equation in point-slope is represented as:
y − y1 = m(x - x1)
Where
m represents the slope
By comparing y − y1 = m(x - x1) and y − 6 = (−23)(x + 6), we have
m = -23
Hence. the slope of the line is -23
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Answer:
Step-by-step explanation:
Given that the dollar cost of producing x appliances is
![c(x)=1000+ 90x- 0.2x^2](https://tex.z-dn.net/?f=c%28x%29%3D1000%2B%2090x-%200.2x%5E2)
A) Average cost can be obtained by dividing c(x) by units = x
i.e. average cost = ![\frac{1000}{x} +90-0.2x](https://tex.z-dn.net/?f=%5Cfrac%7B1000%7D%7Bx%7D%20%2B90-0.2x)
B) Marginal cost = dC/dx = ![90-0.4x](https://tex.z-dn.net/?f=90-0.4x)
When x=140 marginal cost ![= 90-0.4(140)\\=34](https://tex.z-dn.net/?f=%3D%2090-0.4%28140%29%5C%5C%3D34)
C) We calculate
c(140) = ![=1000+90(140)-0.2(140^2)\\\\=9680](https://tex.z-dn.net/?f=%3D1000%2B90%28140%29-0.2%28140%5E2%29%5C%5C%5C%5C%3D9680)
c(141) = ![=1000+90(141)-0.2(141^2)\\\\\\=9713.80](https://tex.z-dn.net/?f=%3D1000%2B90%28141%29-0.2%28141%5E2%29%5C%5C%5C%5C%5C%5C%3D9713.80)
Marginal cost = difference = 33.80
Same as 34 shown in marginal cost.
Answer:
A. A bar magnet’s magnetic field is larger than Earth’s.
Step-by-step explanation:
The average magnetic field strength in the Earth's outer core was measured to be 25 Gauss, 50 times stronger than the magnetic field at the surface.
Answer: x=0.9,−0.9
Step-by-step explanation: