Simplify: 5 2/5x-1/3(x+3/4y)-y+3/8y

(608 x - 105 y)/120

Step-by-step explanation:

Simplify the following:

(3 y)/8 - y - 1/3 (x + (3 y)/4) + (5 + 2/5) x

Put each term in (3 y)/4 + x over the common denominator 4: (3 y)/4 + x = (3 y)/4 + (4 x)/4:

(5 + 2/5) x - (((3 y)/4 + (4 x)/4))/3 - y + (3 y)/8

(3 y)/4 + (4 x)/4 = (3 y + 4 x)/4:

(5 + 2/5) x - ((1/4 (3 y + 4 x)))/3 - y + (3 y)/8

4×3 = 12:

(5 + 2/5) x - (3 y + 4 x)/12 - y + (3 y)/8

Put 5 + 2/5 over the common denominator 5. 5 + 2/5 = (5×5)/5 + 2/5:

((5×5)/5 + 2/5) x - (3 y + 4 x)/12 - y + (3 y)/8

5×5 = 25:

(25/5 + 2/5) x - (3 y + 4 x)/12 - y + (3 y)/8

25/5 + 2/5 = (25 + 2)/5:

((25 + 2)/5) x - (3 y + 4 x)/12 - y + (3 y)/8

25 + 2 = 27:

(27 x)/5 - (3 y + 4 x)/12 - y + (3 y)/8

Put each term in (27 x)/5 - (3 y + 4 x)/12 - y + (3 y)/8 over the common denominator 120: (27 x)/5 - (3 y + 4 x)/12 - y + (3 y)/8 = (648 x)/120 + (10 (-3 y - 4 x))/120 - (120 y)/120 + (45 y)/120:

(648 x)/120 + (10 (-3 y - 4 x))/120 - (120 y)/120 + (45 y)/120

(648 x)/120 + (10 (-3 y - 4 x))/120 - (120 y)/120 + (45 y)/120 = (648 x + 10 (-3 y - 4 x) - 120 y + 45 y)/120:

(648 x + 10 (-3 y - 4 x) - 120 y + 45 y)/120

45 y - 120 y = -75 y:

(648 x + 10 (-3 y - 4 x) + -75 y)/120

10 (-3 y - 4 x) = -30 y - 40 x:

(648 x + (-30 y - 40 x) - 75 y)/120

Grouping like terms, -30 y - 75 y + 648 x - 40 x = (648 x - 40 x) + (-30 y - 75 y):

((648 x - 40 x) + (-30 y - 75 y))/120

-30 y - 75 y = -105 y:

(-105 y + (648 x - 40 x))/120

648 x - 40 x = 608 x:

(608 x - 105 y)/120

answer: 1,380

step-by-step explanation:

1: you turn %15 into a decimal by moving the decimal point two places to the left.

2: and then you multiply .15 by 1,200 , which will get you 180.00

3: from there you will add 180 to 1,200

4: which will get you 1,380

hope it *im kind of slow so idk if my answer is right*

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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