Use the Zero Product Property to find the value of x that makes the following statement true: 2⋅(x−3)=0 .(1 point) The value that makes the statement true is x= .
To use the Zero Product Property, we set each factor equal to zero and solve for x:
x -3 = 0
To solve for x, we add 3 to both sides of the equation:
x = 3
Therefore, the value that makes the statement true is x = 3.
To begin a football game, a kicker has to kick off. The football follows the path h(x)=−130x(x−61) , where h(x) is the height of the football and x is the horizontal distance it has traveled in yards. Solve the equation to determine how far the ball will have traveled when it hits the ground. 0=−130x(x−61) (1 point) The ball will have traveled yards before hitting the ground. Remaining Attempts : 3
To find how far the ball will have traveled when it hits the ground, we need to solve the equation:
0 = -130x(x - 61)
To use the Zero Product Property, we set each factor equal to zero and solve for x:
x = 0 or x - 61 = 0
For the first equation, x = 0 indicates that the ball has not traveled any distance yet, so it has not hit the ground.
For the second equation, we add 61 to both sides of the equation:
x = 61
Therefore, the ball will have traveled 61 yards before hitting the ground.
To use the Zero Product Property to find the value of x that makes the statement true, we need to set each factor equal to zero and solve for x.
Given the equation: 2⋅(x−3)=0
Step 1: Set each factor equal to zero.
x - 3 = 0
Step 2: Solve for x.
Adding 3 to both sides:
x = 3
Therefore, the value that makes the statement true is x = 3.