Please solve! Evaluate the function.
1 answer:
Answer:
(h o g)(5) = 20
Step-by-step explanation:
(h o g)(5) = h(g(5)) <em>This is two ways of writing the expression</em>
g(x) = h(x) = 3x + 5 <em>g(x) and h(x) are your "plug-ins" for the expression</em>
g(5) = =
= 5 <em>This is how you would solve for plugging in 5 to g(x)</em>
<em>Whatever you get for g(5) {the answer to it} is what you will be plugging into h(x); x being equal to g(5).</em>
h(5) = 3(5) + 5 = 15 + 5 = 20
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Solving quadratic equations, it is found that he needs to charge:
1. He needs to charge $40 to break even.
2. He needs to charge $30 for a profit of $600.
<h3>What is a quadratic function?</h3>A quadratic function is given according to the following rule:
The solutions are:
In which:
The profit equation in this problem is:
P(x) = -3x² + 150x - 1200.
He breaks even when P(x) = 0, hence:
-3x² + 150x - 1200 = 0.
The coefficients are a = -3, b = 150, c = -1200, hence:
He needs to charge $40 to break even.
For a profit of $600, we have that P(x) = 600, hence:
-3x² + 150x - 1200 = 600.
-3x² + 150x - 1800 = 0.
The coefficients are a = -3, b = 150, c = -1800, hence:
He needs to charge $30 for a profit of $600.
More can be learned about quadratic equations at brainly.com/question/24737967
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