Answer:
3x²-x+3
Step-by-step explanation:
Given
Height of the building = 3x^2 + x +1
distance from the floor of the cafeteria to the top of the building = 2x -2
To get the expression for the height from the ground to the floor of the cafeteria, we will use the formula:
Height of the building = (distance from the floor of the cafeteria to the top of the building ) + (he height from the ground to the floor of the cafeteria)
substitute the given parameter into the formula:
3x^2 + x +1 = 2x -2 + P
P = 3x^2 + x +1 - (2X-2)
P = 3x^2 + x +1 - 2x+2
collect like terms:
P = 3x^2 + x-2x+2+1
P = 3x²-x+3
Hence the expression for the height from the ground to the floor of the cafeteria is 3x²-x+3
