1. The ratio of $x+2$ to $2x+2$ is equal to the ratio of $4x+3$ to $7x+3$. What is the product of all real x which satisfy this statement? 2. The ratio of $x+2$ to $2x+2$ is equal to the ratio of $4x+3$ to $7x+3$. What is the product of all real x which satisfy this statement?
2. The equation $y = -4.9t^2 + 42t + 18.9$ describes the height (in meters) of a ball tossed up in the air at 42 meters per second from a height of 18.9 meters from the ground, as a function of time in seconds. In how many seconds will the ball hit the ground?
+128475 1. (x + 2) / ( (2x + 2) = (4x + 3) / ( 7x + 3) cross-multiply
(x + 2) ( 7x + 3) = ( 2x + 2) ( 4x + 3) simplify
7x^2 + 17x + 6 = 8x^2 + 14x + 6
7x^2 + 17x = 8x^2 + 14x rearrange as
x^2 - 3x = 0
x ( x - 3) = 0
x = 0 is one solution.....so....the product of all real solutions must be 0
