25(b+3)=11(b-7) using distributive property when solving equations.

b = -76/7

Step-by-step explanation:

Step 1: Write equation

25(b + 3) = 11(b - 7)

Step 2: Solve for b

Distribute: 25b + 75 = 11b - 77

Subtract 11b on both sides: 14b + 75 = -77

Subtract 75 on both sides: 14b = -152

Divide both sides by 14: b = -76/7

Step 3: Check

Plug in b to verify it's a solution.

25(-76/7 + 3) = 11(-76/7 - 7)

25(-55/7) = 11(-125/7)

-1375/7 = -1375/7

asnwer is (g o h o f)(x) = 2x - 6/x + 7

step-by-step explanation:

given,

f(x) = x - 3/x

g(x) = x + 3

h(x) = 2x + 1

we need to find : (g o h o f)(x)

we can write (g o h o f)(x) = g[ h{ f(x) } ]

so first we find h{f(x)}

h{f(x)} = f(x) + 3 = (x - 3/x) + 3

h{f(x)} = x - 3/x + 3

now we find g[ h{ f(x) } ].

g[ h{ f(x) } ] = g(x - 3/x + 3)       {plug h{f(x)} = x - 3/x + 3 in g[h{f(x)}] }

g(x - 3/x + 3) = 2 (x - 3/x + 3) + 1

                    = 2x - 6/x + 6 + 1

                    = 2x - 6/x + 7

hence we get (g o h o f)(x) = 2x - 6/x + 7