Mai works a total of 38 hours per week at two jobs. The number of hours she works at a coffee stand is 2 less than 4 times the number of hours she works at the animal shelter. How many hours does Mai work at the animal shelter? Show the equation you use and your work solving the equation for full credit.

30 hours at coffee stand

8 hours at animal shelter

Step-by-step explanation:

Let x = the hours worked at animal shelter

Let y = the hours worked at coffee stand

y = 4x - 2 ————> (1)

y + x = 38 ————> (2)

Substitute for y using second equation

(4x - 2) + x = 38

5x - 2 = 38

5x = 40

x = 8

Substitute for x using first equation

y = 4(8) - 2

y = 32 - 2

y = 30

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step-by-step explanation:

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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