Answer and work is in the picture !
Answer: Original expression: 2x - 11 + 4x + 7 + 3(x-4)
Simplified: 9x - 16
Step-by-step explanation:
2x - 11 + 4x + 7 + 3(x-4) becomes 2x - 11 + 4x + 7 + 3x -12
Group like terms, then combine to simplify:
2x + 4x + 3x -11 + 7 - 12
2x + 4x + 3x = 9x
-11 -12 + 7 = =23+7= -16
Simplified expression: 9x - 16
Answer:
3
Step-by-step explanation:
2.7 * 10 ^-5 / 9 * 10 ^-6
First divide the numbers
2.7 / 9 = .3
Then divide the exponents
10^-5 / 10 ^ -6
When we divide exponents we subtract
10^(-5 - -6) = 10 ^1
.3 * 10 ^1
But scientific notation has a number between 1 and less than 10
Move the decimal 1 place to the left, so we subtract 1 from the exponent
3 * 10 ^ (1-1)
3 * 10 ^0
Answer:
(x + 3)/(x + 1) .
Step-by-step explanation:
2x^2 + 3x/(2x + 3)(x - 2) - 6 /x^2 - x - 2
= 2x^2 + 3x/(2x + 3)(x - 2) - 6 / (x - 2)(x + 1)
The LCM is (2x + 3)(x - 2)(x + 1) so we have
(2x^2 + 3x)(x + 1) - 6(2x + 3) x( 2x + 3)(x + 1) - 6(2x + 3)
--------------------------------------- = ------------------------------------
(2x + 3)(x - 2)(x + 1) (2x + 3)(x - 2)(x + 1)
(2x + 3)(x(x + 1) - 6) (2x + 3)(x - 2)(x + 3)
= ---------------------------- = --------------------------- = (x + 3)/(x + 1)
(2x + 3)(x - 2)(x + 1) (2x + 3)(x - 2)(x + 1)
