I wrote the domain and range in interval notation, not sure if that’s how you’re asked to do it. This is how I was taught to state the domain/range of a graph.
C(x) = 400 + 20x - 0.2x²
c(30) = 400 + 20(30) - 0.2(30)²
= 400 + 600 - 0.2(900)
= 1000 - 180
= 820
It costs $820 when 30 radios are produced.
Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two.
c(31) = 400 + 20(31) - 0.2(31)²
= 400 + 620 - 0.2(961)
= 1020 - 192.2
= 827.8 or ≈828.
Now we find the difference which means we subtract the two.
828 - 820 = 8.
Your marginal cost is $8.
To compare we can also do 29 radios.
c(29) = 400 + 20(29) - 0.2(29)² = 811.8 or ≈812
820 - 812 = 8.
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Answer:
The y intercept and the slope are given in the equation. y=mx+b is slope-intercept form. mx is the slope and b is the y intercept. so in y=3x-5, 3x is the slope and -5 is the y intercept (what y is when x is zero).
Step-by-step explanation:
These words related to geometry that are quite hard to define precisely are called the <em>undefined terms</em>. There are three undefined terms in geometry: the point, the line and the plane. They are called as such, not because you can't necessarily define them. Since these are the basic elements of geometry, they are used to define all other terms in geometry.
However, you can still describe these three undefined terms. We describe point as an indication of location space. It can be dimensionless, represented using coordinates ans so much more. Lines can go on infinitely in two directions. They don't have any thickness. Planes are two-dimensional flat surfaces that extend indefinitely in all directions. So, you see, there are no specific definitions of these terms. It depends on where you use them. That's what makes it hard to define precisely.
