The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y. y = 3x10^8/x What is the wavelength for radio waves with frequency 3 × 10^9?

0.1 m

Step-by-step explanation:

y = (3x10⁸)/x

3 × 10⁹ = (3×10⁸)/x

x = (3×10⁸)/(3×10⁹)

x = 10^(8-9)

x = 10^-1

x = 1/10

x = 0.1

.1 (or 1/10)

Step-by-step explanation:

3 * 10^9 = 3 * 10^8/x

Use PEMDAS to interpret

3* 10^9  = 3 * (10^8)/x

Divide both sides by 3

10^9 = (10^8)/x

Divide both sides by 10^8

10 = 1/x

Find the reciprocal of both sides

1/10 = x

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.