We went from -12 degrees to 27 degrees.
27 - (-12) = 27 + 12 = 39
Well to begin, you'll need a graph but you have to do:
y2-y1
---------
x2-x1
(Which is the average rate of change formula.)
In order to find your "y" you look for your x on the graph the move either direction until you touch the graph. Hope this helps.. :)
Let x represent the length of the shortest side. Then the longest side is
... 2x -7 . . . . . . 7 ft shorter than twice the shortest side
and the 3rd side is
... x +2 . . . . . . 2 ft longer than the shortest side.
The perimeter is the sum of the side lengths,
... x + (2x -7) + (x +2) = 59 . . . . . the given perimeter length
... 4x -5 = 59 . . . . collect terms
... 4x = 64 . . . . . . add 5
... x = 16 . . . . . . . . divide by 4
Then the other sides are
... 2×16 - 7 = 25 . . . . . longest side
... 16 +2 = 18 . . . . . . . . third side
The side lengths are 16 ft, 18 ft, and 25 ft.
The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10
The steps are:
1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4
2) Combine like terms => 3 [2^ (2t - 5) ] = 14
3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3
4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)
5) Divide both sides by log (2) =>
log (14/3)
2t - 5 = -------------------
log (2)
6) transpose - 5+>
log (14/3)
2t = ------------------- + 5 = 2.22 + 5
log (2)
2t = 7.22
7) divide both sides by 2 => t = 7.22 / 2 = 3.61
Answer:
Step-by-step explanation:x<-5/2
