Two-thirds of a number is negativesix. find the number.
2 answers:
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- If x = 5 is a zero of the given polynomial, then,
- (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
- Now, divide the polynomial with (x - 5) using long division method. (See the picture)
- We get (x^2 - x - 6) as the quotient.
- Now, factorise the above polynomial:
- (x^2 - x - 6)
- = (x^2 - 3x + 2x - 6)
- = x(x - 3) + 2(x - 3)
- = (x - 3)(x + 2)
- Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)
<u>Answer</u><u>:</u>
<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer
given,
opera house ticket = $50
attendance = 4000 persons
now,
opera house ticket = $52
attendance = 3800 person
assuming these are the points on the demand curve
(x, p) = (4000,50) and (x,p) = (3800,52)
using point slope formula
R(x) = x . p
at
x = 4500
hence at x =4500 the revenue is maximum
for maximum revenue ticket price will be
p = $45