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Equation:
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y= -4x² <span>+ 16x - 7
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<span>Find x-intercept:
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At x-intercept, y = 0
</span> -4x² + 16x - 7 = 0
(7 - 2x) (2x - 1) = 0
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Apply zero product property:
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(7 - 2x) = 0 or (2x - 1) = 0
x = 3.5 or x = 0.5
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Answer: The x-intercept are (3.5, 0) and (0.5, 0).
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(x - 2)(3x - 4)
Remember F.O.I.L
First
Outside
Inside
Last
First: x * 3x = 3x^2
Outside: x * -4 = -4x
Inside: -2 * 3x = -6x
Last: -2 * -4 = 8
3x^2 - 4x -6x + 8
Now, combine like terms.
3x^2 - 10x + 8
Hope I helped!
I'd be very happy to help if you need anything else!
~ Zoe
Answer:
10000 options
Step-by-step explanation:
There are 10 options of digit from 0 to 9. It means there are 10 options for the first slot, 10 for the 2nd slot, 10 for the 3rd slot, and 10 for the last slot of each of the 4 slots of the password. For all 4 passwords the total amount of choices would be

Answer:
Always
Step-by-step explanation:
Some people might mistaken it for sometimes, but the part that makes it always is when it says "regular" hexagons.
Similarity is defined by having congruent angles and proportional sides. Regular hexagons will always have internal angles of 60°, meaning that any two regular hexagons will always be similar.