Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Answer: The number is 26.
Step-by-step explanation:
We know that:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.
we get:
3n²- 1 = 30–m²
Notice that as n increases, the terms of the first sequence also increase.
And as n increases, the terms of the second sequence decrease.
One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.
if m = 1, then:
3n²- 1 = 30–1²
3n²- 1 = 29
3n² = 30
n² = 30/3 = 10
n² = 10
There is no integer n such that n² = 10
now let's try with m = 2, then:
3n²- 1 = 30–2² = 30 - 4
3n²- 1 = 26
3n² = 26 + 1 = 27
n² = 27/3 = 9
n² = 9
n = √9 = 3
So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.
the number is:
3*(3)² - 1 = 26
30 - 2² = 26
The number that belongs to both sequences is 26.
They would get 25% off of the dress. I'm unsure of why you have decimals when there is no price..?
30° the angle is ro small to be 90° to small to be 60° and to small to be 120°
aerage rate of change is just the slope from the endpoints of teh interval
ie 
assuming you mean 
evalaute f(5) and f(1)
f(5)=480(0.3)^5=1.1664
f(1)=480(0.3)^1=144
average rate of change=(1.1664-144)/(5-1)=-35.7084
the average rate of change of the function on the interval x=1 to x=5 is -35.7084
