It can be modeled by an exponential function, f(x) is divided by 3 each time x increases by 1.
This means that the base of the exponential function is 1/3, and since the value of f(x) when x=0 is 81, 
Answer:
the 1st, 2nd and 6th statements are true.
and probably the 3rd statement is true.
I am not sure about the 3rd statement, as I cannot read the original in your screenshot, and your transcribed description is probably not correct and contains typos.
but all you need is in the explanation below to decide, if the actual 3rd statement is true or not.
if "58 + 79 = 1268" actually means "5s + 7g = 1268" then it is true. otherwise it is false.
Step-by-step explanation:
g = number of general tickets sold
s = number of student tickets sold
so, in total
g + s = 234
tickets were sold.
and the revenue was
7g + 5s = $1,268
out of these 2 basic equating we get
g = 234 - s
and then
7(234 - s) + 5s = 1,268
1,638 - 7s + 5s = 1,268
-2s = -370
s = 185
g = 234 - s = 234 - 185 = 49
so, we know
185 student tickets were sold for 5×185 = $925
49 general tickets were sold for 7×49 = $343
Answer:
If it is being dilated from (0,0) the answer is below.
Step-by-step explanation:
It depends on where it is scaled from. If you choose a point directly to that points left it will be pushed tot he right, and vice versa if it is on its right. Same for above and below
I am going to assume we are dilating from (0,0), but again, if there is another part of the question saying where it's from use this method for that as well.
So, from (0,0) the initial point is (-3, 11) Scaling by a factor of 3 means it gets pushes AWAY so it is 3 times as far away. (If it were a fraction or decimal it would be getting pulled closer)
Using (0,0) as the dilation point is the easiest because we just have to ask how far are the x and y coordinates away from (0,0) and any number is THAT number away from 0.
We break this into the two coordinates too. so how far is -3 from 0? -3. so we want a point 3 times as far away, so what is that? -9. Same for 11, 11 is 11 away from 0 so we want it 3 times as far, which is 33.
Now that we have the two coordinates that is the answer.
(-9, 33)
