The given function is f(z)=3z-8 for the values f(-4), f(2) and f(z-7) respectively -20, -2 and 3z-29 respectively.
The given function is f(z)=3z-8.
We need to find the value of f(-4), f(2), f(z-7).
<h3>What is a function?</h3>
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Now to find f(-4), replace z from -4.
f(-4)=3(-4)-8=-12-8=-20
Now to find f(2), replace z from 2.
f(2)=3(2)-8=6-8=-2
Now to find f(z-7), replace z from z-7.
f(z-7)=3(z-7)-8=3z-21-8=3z-29.
Therefore, the given function is f(z)=3z-8 for the values f(-4), f(2) and f(z-7) respectively -20, -2 and 3z-29 respectively.
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To solve this problem, we simply have to multiply the
original inches of rain to that of how many times it was for the rest of
summer. So in this case, simply multiply 2.29 by 3, that is:
2.29 inches * 3 = 6.87 inches
Answer:
<span>6.87 inches</span>
Answer:
The minimum average cost per dulcimer is 150 and the minimum cost is $180.
Step-by-step explanation:
The given cost function is
Differentiate the function C(x) with respect to x.
Equate C'(x)=0, to find the critical values.
Divide both sides by 0.4.
Differentiate the function C'(x) with respect to x.
At x=1.5
The value of double derivative is positive. It means the function is minimum at x=1.5 hundred.
1.5 hundred = 150
Substitute x=1.5 in the given function to find the minimum average cost.
The minimum cost is 1.8 hundred dollars.
1.8 hundred dollars = $180
Therefore, the minimum average cost per dulcimer is 150 and the minimum cost is $180.
La réponse est -36
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