Ms. Nichols rated her theater students' singing and dancing skills using a scale of 0 through 10. What relationship does the sca
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Answer:
Step-by-step explanation:
Factorize:
<u>Factor Theorem</u>
If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).
Substitute x = 1 into the function:
Therefore, (x - 1) is a factor.
As the polynomial is cubic:
Expanding the brackets:
Comparing coefficients with the original polynomial:
Therefore:
Cannot be factored any further.
The given expression is
And since we have x+2 common in numerator and denominator, there is a hole at x+2=0, that is at x=-2
And a function is undefined when denominator is zero. And at x=-6, denominator become zero.
So, at x=-6, the function is undefined, or there is a vertical asymptote at x=-6 and hole at x=-2 .
For this case we have:
Cost of manufactures of T-shirts
where x represents the number of T-shirts
Part A:
Substituting in the total cost equation you have to:
Thus, the cost of 8 shirts will be
Part B:
If then
Thus, the cost of 12 shirts will be
Answer: