Determine whether the values −1 and 73 are solutions to the quadratic equation 3x2−4x−4=3.(1 point)

Question

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.

Answer 1

Neither x=−1 nor x=73 is a solution.

Answer 2

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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Answer 3

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.