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.
It's slightly ambiguous because the year isn't an even number of weeks, so sometimes that extra day falls on a weekend and sometimes on a weekday. We'll assume a weekend; that makes the numbers come out nice.
Total working days, 52 five day weeks minus 30 days vacation
So his daily rate is
dollars per day
Answer: A
It's closer to $518 when we count the extra day as a weekday.
Answer:
C
Step-by-step explanation:
Because equation C is telling us that the amount of caffeine is less than 400.
Hope this will help
Recall the binomial theorem.
1. The binomial expansion of 
is
Observe that
When we multiply these by 
,
• 
and 
combine to make 
• 
and 
combine to make 
and the sum of these terms is
2. The binomial expansion is
We get the 
term when 
:
