Answer:
n = 1
Step-by-step explanation:
This equation is just basic alegebra. First, combine like terms to get
9 - n = 8n. (Because 3 - 3 = 0, and -4n + 3n = -n.) Now the equation is much simpiler; add n to both sides to get 9 = 9n. Divide 9 by both sides to get that n = 1.
You can check your answer by plugging 1 in for n.
9 - 4(1) + 3(1) = 8(1) + 3 - 3
9 - 4 + 3 = 8 + 3 - 3
5 + 3 = 11 - 3
8 = 8
Therefore, n is proven to equal 1.
Hope this is helpful :)
Let
x--------> the total length of the water main
we know that
the number of 20 ft pipes is x/20
and
the number of 18 ft pipes is x/18
Since they differ by 14 pipes,
we have the equation
x/18 - x/20 = 14
Solve for x (by canceling fractions)
20x - 18x = 14*18*20
x = (14*18*20)/2
x = 2,520 ft
therefore
the answer is
the total length of the water main is 2,520 ft
Answer:
f(x) = 2·3^x
Step-by-step explanation:
We have the general equation of exponential functions as
y= a*b^x
We are given that the point (0,2) is on the graph so
when x= 0, y= 2
If we substitute in the general equation we see that
2 = a*b^0, any number to the power 0 is 1
2 = a
We were also given that point (1, 6 ) is on the graph;
If we substitute in our new found equation we see that
y=2·b^x
6 = 2·b^1 , any number to the power 1 is itself and
divide both sides by 2
3 = b
f(x) = 2·3^x
3225.......................