Solve x5 + 3x4 – 23x3 – 51x2 + 94x + 120 > 0. First, I factor to find the zeroes:x5 + 3x4 – 23x3 – 51x2 + 94x + 120= (x + 5)(x + 3)(x + 1)(x – 2)(x – 4) = 0...so x = –5, –3, –1, 2, and 4 are the zeroes of this polynomial. (Review how to solve polynomials, if you're not sure how to get this solution.)To solve by the Test-Point Method, I would pick a sample point in each interval, the intervals being (negative infinity, –5), (–5, –3), (–3, –1), (–1, 2), (2, 4), and (4, positive infinity). As you can see, if your polynomial or rational function has many factors, the Test-Point Method can become quite time-consuming.To solve by the Factor Method, I would solve each factor for its positivity: x + 5 > 0 for x > –5;x + 3 > 0 for x > –3; x + 1 > 0 for x > –1; x – 2 > 0 for x > 2; and x – 4 > 0 for x > 4. Then I draw the grid:...and fill it in:...and solve:Then the solution (remembering to include the endpoints, because this is an "or equal to" inequality) is the set of x-values in the intervals [–5, –3], [–1, 2], and [4, positive infinity].

As you can see, if your polynomial or rational function has many factors, the Factor Method can be much faster.

4 0

2 years ago

Sophia exchanged 1,000 US dollars for the south African currency. the exchange rate was 7.15 rand to $1.00.

mel-nik [20]

1 / 7.15 = 1000 / x......$ 1 to 7.15 rand = $ 1000 to x rand
cross multiply because this is a proportion
(1)(x) = (7.15)(1000)
x = 7150 <=== Sophia got 7150 rand

5 0

3 years ago

What is the exact distance from (8, 5) to (−1, 3)? (Round to the nearest tenth)

alexira [117]

Answer:

About 9.2 units

Step-by-step explanation:

[8-(-1)^2]+[(5-3)^2]

81+4

sqrt(85)

9.2

Brainliest appreciated :)

4 0

2 years ago

Read 2 more answers