Answer:
15 early tickets were sold and 5 regular tickets were sold.
Step-by-step explanation:
Let x be the number of early bird tickets sold and y be the number of regular tickets sold.
Total number of tickets sold = 20
Thus, we can write the equation,

Cost of early bird ticket = $10
Cost of regular tickets = $15
Total cost = $225
Thus, we can write the equation,

We solve the equation by elimination method by multiplying first equation by 10 and subtracting.

Thus, 15 early tickets were sold and 5 regular tickets were sold.
Assuming the first function is y = 4x2<span> + 1, and the second y = 4x</span>2<span> then the first graph is 1 unit higher than the second.</span>
Answer:
Here is the graph I made, starting from (-3,1) to (-2,-1) it goes down 2 units and over 1 unit.
First lets start with number six. The only way to solve this is if you determine what "a" and "b" are using the first log they have given to you.
The first variable that I solved for was "a" and
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The same is also true for "b", but when you put both "a" and "b" together the only combination that I have found to work is 
Next you plug these numbers in for "a" and "b" on the second equation to get something that looks like this:
and the picture below shows where the answer becomes a negative fraction.
https://www.symbolab.com/solver/logarithms-calculator/%20%5Clog_%7B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%5Cfrac%7B1%7D%7B4%7D%7D%5Cleft(%5Cfrac%7B%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%5Cright)
If you paste that link in your search bar it will give you a even more in depth understanding of how to get this answer
Next is #7, the easier of the two.There are two ways to solve for your answers. According to the graph of this equation there are four possible real solutions.
. (This does not account for any complex solutions)
Notice that the bases are conjugates which is why the answers are so "nice"
The key is in the exponents
if
then the sum on the conjugates will be 10 so


so 
Now for the other two
the solution is also true if 
so

the four real solutions are 
Okay since it's a right prism I assume you multiply the Perimeter times the height which looks to be 20x6 which would equal out to 120 as the lateral area.
(Sorry if I'm wrong, You're welcome if I'm right, Brainliest would be helpful and appreciated)