A gardener is planting two types of trees: Type A is 7 feet tall and grows at a rate of 2 inches per year. Type B is 2 feet tall and grows at a rate of 17 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

it will take 0.33 years for the heights to be the same.

Step-by-step explanation:

Let x represent the number of years it will take for both trees to be the same height.

Type A is 7 feet tall and grows at a rate of 2 inches per year. This means that the height of the tree after x years would be

2x + 7

Type B is 2 feet tall and grows at a rate of 17 inches per year. This means that the height of the tree after x years would be

17x + 2

For the heights to be the same, the number of years would be

17x + 2 = 2x + 7

17x - 2x = 7 - 2

15x = 5

x = 5/15

x = 0.33 years

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.