Hana is planning a park day for the next month to give her friends some exercise! The local park opens its path for bikers every 12 days and opens it's lake for paddling every 8 days. Today, both the biking and paddling options are open. Which two number sentences will help Hana pick the next date where both the bike lane and lake padding will be open?

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x

because that’s us why

step-by-step explanation:

there's the chart

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