Determine whether the values −1 and 73 are solutions to the quadratic equation 3x2−4x−4=3.(1 point)
Responses
Both x=−1 and x=73 are solutions.
Both x equals negative 1 and x equals Start Fraction 7 over 3 End Fraction are solutions.
Only x=−1 is a solution.
Only x equals negative 1 is a solution.
Neither x=−1 nor x=73 is a solution.Neither x equals negative 1 nor x equals Start Fraction 7 over 3 End Fraction is a solution.
Only x=73 is a solution.
3 answers
Neither x=−1 nor x=73 is a solution.
Use the table to answer the question.
x Substituted Evaluate True Statement?
12
24
36
48
When set off, a certain firework follows the path of the quadratic function h=−2536x2+1623x , 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=−2536x2+1623x .
(1 point)
Responses
36 feet
36 feet
24 feet
24 feet
48 feet
48 feet
12 feet
12 feet
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x Substituted Evaluate True Statement?
12
24
36
48
When set off, a certain firework follows the path of the quadratic function h=−2536x2+1623x , 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=−2536x2+1623x .
(1 point)
Responses
36 feet
36 feet
24 feet
24 feet
48 feet
48 feet
12 feet
12 feet
Skip to navigation
To determine how far the firework will travel before reaching the ground, we need to find which value of x in the table is a solution to the equation 0=-2536x^2 + 1623x.
By substituting x=12, we have 0=-2536(12)^2 + 1623(12) = -365568 + 19476 = -346092, which is not true.
By substituting x=24, we have 0=-2536(24)^2 + 1623(24) = -182976 + 38952 = -144024, which is not true.
By substituting x=36, we have 0=-2536(36)^2 + 1623(36) = -328176 + 58428 = -269748, which is not true.
By substituting x=48, we have 0=-2536(48)^2 + 1623(48) = -365568 + 77904 = -287664, which is not true.
Therefore, there is no value of x in the table that is a solution to the equation.
By substituting x=12, we have 0=-2536(12)^2 + 1623(12) = -365568 + 19476 = -346092, which is not true.
By substituting x=24, we have 0=-2536(24)^2 + 1623(24) = -182976 + 38952 = -144024, which is not true.
By substituting x=36, we have 0=-2536(36)^2 + 1623(36) = -328176 + 58428 = -269748, which is not true.
By substituting x=48, we have 0=-2536(48)^2 + 1623(48) = -365568 + 77904 = -287664, which is not true.
Therefore, there is no value of x in the table that is a solution to the equation.