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:
Inequality is
Solution is C: t > 82
Step-by-step explanation:
Let the number of tickets = t
It is given that the committee earns $4 per ticket. That is, they earn dollars.
Also, the committee earns $72 from the bake sale.
So, the total income is dollars.
Since, the dance will cost $400.
So, the total earning must be greater than $400.
Thus, the inequality for the situation is given by, .
So, on solving, we have,
i.e.
i.e. t > 82.
Thus, the solution of the inequality is
Hence, option C is correct.