Change from scientific notation to expanded form

8.63 × 10^5

answer:

see explanation

step-by-step explanation:

take out the common factor (3x + 7)

6x(3x + 7) + 5(3x + 7) = (3x + 7)(6x + 5) ← in factored form

answer:

20x^2 + 180x +405

step-by-step explanation:

5(2x+9)²

5 ( 2x+9) (2x+9)

foil

first

2x*2x = 4x^2

outer: 2x*9 = 18x

inner 2x*9 = 18x

last : 9*9 = 81

add these together :   4x^2 + 18x+18x +81   = 4x^2+36x+81

5( 4x^2+36x+81 )

20x^2 + 180x +405

d. no, it is not periodic. the function does not repeat on regular intervals

set up a ratio:

9 / 2x-1 = 15 / 3x

cross multiply:

9 *3x = 15 * 2x-1

simplify:

27x = 30x - 15

subtract 30x from both sides.

-3x = -15

divide both sides by -3:

x = -15 / -3

x = 5