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<h3>
Answer: x = 0</h3>
Work Shown:
y = -3x^2 - 12 is the same as y = -3x^2 + 0x + (-12)
Compare this to y = ax^2 + bx + c, and we'll find that
a = -3
b = 0
c = -12
Plug the 'a' and 'b' values into the formula below and simplify
h = -b/(2a)
h = -0/(2*(-3))
h = 0
The x coordinate of the vertex is x = 0, so the axis of symmetry is also x = 0.
The axis of symmetry lays perfectly on top of the y axis.
We must remember that average is simply the sum of all the
scores divided by the number of scores. So:
165 = (157 + 161 + X) / 3
Calculating for the score of the third bowler X:
318 + X = 495
X = 177
Therefore the score of the third bowler must be 177 or
greater. Hence:
<span>X ≥ 177</span>
