That is going to be 48 for the first question because 6x8 equals 48
Linear function: d = -4m+50 (that's a negative 4 btw)
Slope: -4
y-intercept: 50
I'm truly sorry but I forgot how to do the last one :(
Answer:
720 m²
Step-by-step explanation:
Area = base × height
= 12 × 6
= 72 mm²
≈ 720 m² (1 mm = 10 m)
Answer:
<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>
Step-by-step explanation:
Cost, Revenue, and Profit Function
The cost function C(x) is given by

where x is the number of produced products.
The revenue function is

With both equations, we can know the profit function as



For the firm to have positive profits, it has to produce x articles with the condition

Or, equivalently

Solving for x

Thus

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production
Answer: Yes. (gof)(0) = -5
(gof)(0) means you will find the function of g(f(0)), which means we will find f(0) and plug that value in for x in the function g(x)
We know f(0) is -1, so we can plug -1 into the equation of g(x)
(gof)(0) = (-1) - 4
(gof)(0) = -5