Answer:
The equation for total cost function is
C(x)=100+270x
Step-by-step explanation:
Variable cost per per board =total cost per day-fixed cost per day/daily output
total cost per day is $5,500
fixed cost per day is $100
20 boards are produced per day
variable cost per board=($5,500-$100)/20=$270 per day
Total cost C(x)=fixed cost per day+ variable per board*number of daily output
Since daily output is represented also by x ,total cost function is given thus:
C(x)=100+270x
1 (B), because 3+-2=1, and 5+-4=1, which amounts to 1/1, or whole number 1.
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<u><em>The correct answer is: </em></u>C) his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.
<u><em>Explanation: </em></u><span><u>To solve this rational equation, we cross multiply: </u>
8*(x-4)=2*(x+2).
<u>Using the distributive property, we have </u>
8*x-8*4=2*x+2*2;
8x-32=2x+4.
<u>Subtract 2x from each side: </u>
8x-32-2x=2x+4-2x;
6x-32=4.
<u>Add 32 to each side: </u>
6x-32+32=4+32;
6x=36.
<u>Divide both sides by 6:</u>
</span></span>

<span><span>=</span></span>

<span><span>;
x=6.
<u>Extraneous solutions</u> are solutions that come about in the problem but are not valid solutions to the problem; the only values of x that would give this sort of answer are -2 and 4, since these are the two values that would make one of the denominators 0 (we cannot divide by 0).</span></span>
Answer:
1 1/5
Step-by-step explanation:
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!