Algebra Answers

y=3(x-13)^2+23

If m, n and p are the roots of the polynomial x³+5x-8 and sum of the roots is 0

0, then find the value of m³+n³+p^3.

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The volume of a box V, varies with some variable x as V(x)=x^3 - 12x ^2 + 44x -48 cubic metres. If (x - a) metre is the measurement of one side of the box, then find the value for a.

Let f(x)=x^3-6x^2+3x+10f(x)=x3−6x2+3x+10, then choose the set of correct options regarding f(x).

1. If x \in [0, 1] \cup (10, \infty)x∈[0,1]∪(10,∞), then f(x)is positive.
2. If x \in (-\infty, -1] \cup (3, 6)x∈(−∞,−1]∪(3,6), then f(x) is negative.
3. If x \in (-\infty, 1] \cup (2, 5)x∈(−∞,1]∪(2,5), then f(x) is negative.
4. If x \in [-2, 2] \cup (5, \infty)x∈[−2,2]∪(5,∞), then f(x) is positive.
5. If x \in (-1, 2) \cup (5, \infty)x∈(−1,2)∪(5,∞), then f(x)is positive.

A single ticket to a magic show costs m dollars, but there is a discount of 25% per ticket if a group buys 20 or more tickets. The expression 20m - 20(0.25m) describes the total cost of buying 20 tickets for a group.

A certain ball always rebounds 2/3 of the distance from which it falls.If the ball is dropped from a height of 9 feet, and later it is observed rebounding to a height of 64/81 feet, then how many times did it bounce?

A certain ball always rebounds 2/3 of the distance from which it falls. If the ball is

dropped from a height of 9 feet, and later it is observed rebounding to a height of 64/81 feet, then how many times did it bounce?

The 5th term of a geometric Sequence is 8 and the 9th term Is 16128.find the first term

If the polynomials x^3+ax^2+3x+5x and x^3 + 2x^2 + x + 2a leave the same remainder when divided by (x−1), then the value of a is:

Mark charges ₱100.00 for an encoding work. In addition, he charges ₱5.00 per page of printed output. How much will mark charge for 55-page encoding and printing work?