Does the point (0, 4) satisfy the equation y = -8x² + -5x + -4?
yes
no
Does the point (0, 4) satisfy the equation y = -8x² + -5x + -4?
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To determine if the point (0, 4) satisfies the equation ( y = -8x^2 – 5x – 4 ), we can substitute ( x = 0 ) into the equation and see if we get ( y = 4 ).
1. Substitute ( x = 0 ):
[
y = -8(0)^2 – 5(0) – 4
]
This simplifies to:
[
y = -4
]
Since the calculated ( y ) is (-4) and not (4), the point (0, 4) does not satisfy the equation.
Answer: no
Explanation: After substituting ( x = 0 ) into the equation, we found ( y = -4), which does not equal (4).