Answer:
<u>infinitely many solutions</u>
Step-by-step explanation:
The system of equations :
- 3x + 2y = 7
- -4.5x - 3y = -10.5
Multiplying Equation 1 times 3 and Equation 2 times 2 :
- 9x + 6y = 21
- -9x - 6y = -21
Putting the equations in standard form after simplifying :
- 6y = -9x + 21 ⇒ <u>y = -1.5x + 3.5</u>
- -6y = 9x - 21 ⇒ <u>y = -1.5x + 3.5</u>
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As both equations are the same, the system will have <u>infinitely many solutions</u>.
Answer:
0 < t < 
After 1.67 days the stocks would be sold out.
Step-by-step explanation:
The price of a certain computer stock after t days is modeled by
p(t) = 100 + 20t - 6t²
Now we will take the derivative of the given function and equate it to zero to find the critical points,
p'(t) = 20 - 12t = 0
t = 
t = days
Therefore, there are two intervals in which the given function is defined
(0, ) and (, ∞)
For the interval (0, ),
p'(1) = 20 - 12(1) = 20
For the interval (, ∞),
p'(2) = 20 - 12(2) = -4
Positive value of p'(t) in the interval (0, ) indicates that the function is increasing.
0 < t <
Since at the point t = 1.67 days curve is showing the maximum, so the stocks should be sold after 1.67 days.
1,2,3,... they are also known as the Natural Numbers
For question 1:
Since each person is going to eat 1/4 of pizza and there are two of them, there are going to be 8 slices. There are 5 people eating, that's 5 slices gone, leaving 3.
It would be <u>D.) 3/4 pizza</u>
For question 2:
three people order the same meal. Now, if I'm correct, the meal total is AFTER the coupons were used. so that would bring total cost up to $30.75.
Divide that by 3 for all three friends:
30.75/3 = <u>D.) $10.25</u>
Step-by-step explanation:
Heavy Metal "music" impacts negatively the long term memory, if at least the ability to access it.
while harmonic music has no blocking effect or maybe even strengthens the long term memory and the ability to access it.
here 3 remarks.
first 2 scientifically from psychology : memory works mostly associative. that means brains do not store absolute information like a digital computer, but always in combination and association with other pieces of information. if there is nothing else to remember (like a more or less random pattern of sound effects for that the brain cannot find a rule or concept for), there are no associations with presented pieces of information, and the storage and access to it is much harder and restricted.
and - loud crashing and seemingly random noise triggers the panic mode in our brains. and panic is the mode favoring pure instinct and suppressing cognitive functions.
and finally, personally, it just confirms what I literally feel when listening to such music : it destroys at that moment any ability to keep a straight thought, prolonged exposure gives me the feeling that something gets broken inside my brain and thought processes.
I suspect that this is exactly the feeling that the fans of this kind of music are after (kind of like most drugs), but I am not surprised that there actually is something broken in the brain (again, as with drugs).
