Answer:
364.5
Step-by-step explanation:
you would need a calculator for it, unless you can do exponential math at such a degree... if you're using a PC there's a good graphing calculator at Desmos.com, it can show you how a graph looks, which shows that when n is 7, the answer is 364.5. also it wouldn't be 1093.5 because the exponent is n-1 which means that while n could be 7, you need to take away 1 before using it as an exponent.
In order for an equation to be in standard form, the equation has to be in Ax+By=c form, where A is equal to the coefficient of x and B is equal to the coefficient of y, whereas c is just the constant, or the number in the equation that isn't being multiplied to a variable. In this case, you should first distribute 2y into (x-1), and then you should perform inverse operations on terms on both sides of the equation such that one side of the equation will only have terms with x and y in them and the other side of the equation will only be a numerical value. When the equation is like this, then the equation is in standard form.
Answer:
x=41
y=139
Step-by-step explanation:
x+y = 180 since they form a straight line
y is 3x +16
y = 3x +16
Replace y in the first equation
x+3x +16 = 180
Combine like terms
4x +16 = 180
Subtract 16 from each side
4x+16-16 =180-16
4x =164
Divide each side by 4
4x/4 =164/4
x = 41
y = 3x +16
y = 3*41 +16 = 123+16 =139
Parentheses first
9q-14+3q-3(8)=7
9q-14+3q-24=7
Combine like terms
9q + 3q - 14 - 24 = 7
12q -38=7
add 38 to both sides
12q - 38 + 38 = 7 + 38
12q = 45
divide both sides by 12
q = 45/12
q = 3.75