The amount troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. troy charges $30
to mow a lawn that took him 1.5
hours to mow.

which equation models the amount in dollars, d
, troy charges when it takes him h hours to mow a lawn?

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4