3 1/3 ÷10+0.175÷0.35 / ( 11/18 − 1/15 )÷1.4 - 1.75−1 11/17 · 51/56 / (0.5− 1/9 )·3 ALL JESUS HELPERS PLEASEE HELP ME I NEED IT ASAP NAD I WILL MARK BRAINLIEST

-1.41666666667

Step-by-step explanation:

Given the equation:

3 1/3 ÷10+0.175÷0.35 / ( 11/18 − 1/15 )÷1.4 - 1.75−1 11/17 · 51/56 / (0.5− 1/9 )·3

Following the rule of BODMAS :

Deal with brackets first:

(11/18 - 1/15)÷1.4= (55 - 6) / 90 = (49/90)/1.4 = 0.38888888889

0.175 ÷ 0.35 = 0.5

0.5 / 0.38888888889 = 1.28571428571

(0.5 - 1/9). 3 = (1/2 - 1/9) = (9-2)/18 = (7/18).3 = 21/18 = 7/6

51/56 ÷ 7/6 = 51/56 × 6/7 = 0.7806122449

3 1/3 ÷ 10 = 10/3 × 1/10 = 10/30 = 1/3

Now we have :

1/3 + 1.28571428571 - 1.75−1 11/17 · 0.7806122449

1/3 + 1.28571428571 - 1.75− 28/17 · 0.7806122449

1/3 + 1.28571428571 - 1.75 - 1.28571428571

1.61904761904 - 1.75 - 1.28571428571

= -1.41666666667

(2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

step-by-step explanation:

simplify the following:

x/x^2 + 3 x + 2 - (x (x + 1))/(x + 2)

combine powers. x/x^2 = x^(1 - 2):

x^(1 - 2) + 3 x + 2 - (x (x + 1))/(x + 2)

1 - 2 = -1:

x^(-1) + 3 x + 2 - (x (x + 1))/(x + 2)

put each term in 1/x + 3 x + 2 - (x (x + 1))/(x + 2) over the common denominator x (x + 2): 1/x + 3 x + 2 - (x (x + 1))/(x + 2) = (x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)):

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2))

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)) = ((x + 2) + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2)):

(2 + x + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

3 x^2 (x + 2) = 3 x^3 + 6 x^2:

(2 + x + 3 x^3 + 6 x^2 + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

2 x (x + 2) = 2 x^2 + 4 x:

(2 + x + 6 x^2 + 3 x^3 + 2 x^2 + 4 x - x^2 (x + 1))/(x (x + 2))

-x^2 (x + 1) = -x^2 - x^3:

(-x^2 - x^3 + 3 x^3 + 6 x^2 + 2 x^2 + 4 x + x + 2)/(x (x + 2))

grouping like terms, 3 x^3 - x^3 + 6 x^2 + 2 x^2 - x^2 + 4 x + x + 2 = (3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2:

((3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

3 x^3 - x^3 = 2 x^3:

(2 x^3 + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

6 x^2 + 2 x^2 - x^2 = 7 x^2:

(2 x^3 + 7 x^2 + (x + 4 x) + 2)/(x (x + 2))

x + 4 x = 5 x:

answer:   (2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

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step-by-step explanation: