To determine which value of x is a solution to the equation 0=−25/36x^2+162/3x, we substitute each value of x given in the table.
For x = 36 feet:
0 = -25/36(36)^2 + 162/3(36)
0 = -25/36(1296) + 162/3(36)
0 = -25/36(1296) + 54(36)
0 = -900 + 1944
0 = 1044
Since 0 does not equal 1044, x = 36 feet is not a solution.
For x = 48 feet:
0 = -25/36(48)^2 + 162/3(48)
0 = -25/36(2304) + 162/3(48)
0 = -25/36(2304) + 54(48)
0 = -1600 + 2592
0 = 992
Since 0 does not equal 992, x = 48 feet is not a solution.
For x = 24 feet:
0 = -25/36(24)^2 + 162/3(24)
0 = -25/36(576) + 162/3(24)
0 = -25/36(576) + 54(24)
0 = -400 + 1296
0 = 896
Since 0 does not equal 896, x = 24 feet is not a solution.
For x = 12 feet:
0 = -25/36(12)^2 + 162/3(12)
0 = -25/36(144) + 162/3(12)
0 = -25/36(144) + 54(12)
0 = -100 + 648
0 = 548
Since 0 does equal 548, x = 12 feet is a solution.
Therefore, the firework will travel 12 feet before reaching the ground.
x Substituted Evaluate True Statement? 12 24 36 48 When set off, a certain firework follows the path of the quadratic function h=−25/36x^2+162/3x , where: h= the height of the firework in feet. x= the horizontal distance it travels in feet. To determine how far the firework will travel before reaching the ground, determine which value of x in table is a solution to the equation 0=−25/36x^2+162/3x .
36 feet
48 feet
24 feet
12 feet
1 answer
1 answer