Step-by-step explanation: Given that Juan sells 2 sizes of dried wreaths. He takes 3 hours to make each large one and tales 2 hours to make each small one. Also, he has material for maximum 6 large wreaths or maximum 9 small wreaths.

Let, 'x' and 'y' be the number of number of large wreaths and number of small wreaths respectively made by Juan.

So, according to the given information, we have the following relations -

$3x+2y\leq 24,~~x\leq 6,~~y\leq 9.$

We tried plotting these inequalities in the graph paper (please see the attached figure), and found that the following two solutions will fit the situation perfectly.

Point A (x = 2, y = 9) and point B (x = 6, y = 3).

Thus, the two possible combinations are

(i) 2 large wreaths and 9 small wreaths, and

(ii) 6 large wreaths and 3 small wreaths.

7 0

3 years ago

For f(x) = 3x+ 1 and g(x) = x2 - 6, find (f+g)(x).

mylen [45]

Answer:

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\\text{Substitute}\ f(x)=3x+1,\ g(x)=x^2-6:\\\\(f+g)(x)=(3x+1)+(x^2-6)\qquad\text{combine like terms}\\\\(f+g)(x)=x^2+3x+(1-6)\\\\(f+g)(x)=x^2+3x-5$

7 0

3 years ago

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