Find the remainder of the division of
2 answers:
<h3>Answer: C) 77</h3>
Remainder theorem: If p(x) is divided by (x-k), then the remainder is p(k)
In our case, p(x) = x^3-5x^2-4x+7 and k = 7
p(x) = x^3-5x^2-4x+7
p(7) = (7)^3-5(7)^2-4(7)+7
p(7) = 77
The remainder is 77
Side note: The nonzero remainder means x-7 is not a factor of x^3-5x^2-4x+7.
You can also use polynomial long division (see figure 1) or synthetic division (see figure 2). The figures are attached in the image below.
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Answer:
The company's daily fixed cost=$8000
The marginal cost per cycle=Slope=$ 25
Step-by-step explanation:
We are given that
Factory produces bicycle in a day=100
Total cost,$10,500
Factory produces bicycles in a day,=120
Total cost=$11,000
There are two points (100,10500) and (120,11000)
Slope =
Using the formula
Slope-intercept form
Where m=Slope of line
c=y-intercept
Substitute the values
y-intercept=8000
Substitute the values in the equation
Therefore, company's daily fixed cost=$8000
The marginal cost per cycle=Slope=$ 25