Answer: False
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Explanation:
I'll use x in place of p.
The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.
Compare this to ax^2+bx+c = 0
We have
Plug those three values into the discriminant formula below
d = b^2 - 4ac
d = (-5)^2 - 4(10)(8)
d = 25 - 40*8
d = 25 - 320
d = -295
The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".
Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.
Answer:

gallons of paint was used by Lucy.
Step-by-step explanation:

29/12 = 2 5/12
Answer:
After the sales tax
$235
before sales tax
210.32
Step-by-step explanation:
The ratio of soda to fruit juice in the punch is 1 to 2/3
Rounding to the nearest thousand
for example, if the number is 104001. ten thousand would be 100000 while rounding to the nearest thousand would be 104000. accurate means closer to the correct answer, and the one rounded to the nearest thousand, 104000 is closer to the correct answer 104001 than the one rounded to ten thousand