Answer:
2
Step-by-step explanation:
3/8+3/4+7/8
=3/8+6/8+7/8
=16/8
=2
We are given a scale that for every 1 in on the plan, the actual length will 6.5 ft.
The maximum distance across the pond on the plan is 9.75 in. So that means we will need to take 6.5 ft 9.75 times. So our answer is
6.5*9.75=63.375 ft. That's the answer.
We can visualize this a different way
1 in = 6.5 ft
9.75 in = x ft
And from here it's a little more clear to see what needs to be done.
Hope this helped!
(9^x) - 3 = 2*3^x
(9^x) - 3 - (2*3^x) = (2*3^x) - (2*3^x)
(9^x) - (2*3^x) - 3 = 0
(3^2)^x - 2*(3^x) - 3 = 0
3^(2x) - 2*(3^x) - 3 = 0
3^(x*2) - 2*(3^x) - 3 = 0
(3^x)^2 - 2*(3^x) - 3 = 0
z^2 - 2*z - 3 = 0 ............ let z = 3^x
(z - 3)(z + 1) = 0
If z-3 = 0, then z = 3 when we isolate z
If z = 3, and z = 3^x, then
z = 3
3^x = 3
3^x = 3^1
x = 1
which is a solutin in terms of x
If z+1 = 0 then z = -1
If z = -1 and z = 3^x, then there are NO solutions for this part of the equation
The quantity 3^x is never negative no matter what the x value is
---------------------------------------------------------------
Answer: x = 1
