I will determine the log base 2 of x for the x-values in the set {1, 2, 4, 8, 16}.
I will use these properties:
log base m of m^n = n,
Which written with the math editor is:
<span>

1) x = 1
1 = 2^0 =>

2) x = 2
2 = 2^1 =>

3) x = 4
4 = 2^2 =>

4) x = 8
8 = 2^3 =>

5) x = 12
16 = 2^4 =>

6) Now you can plot the points on the graph. The points that you have to plot are:
(1,0)
(2,1)
(4,2)
(8,3)
(16,4)
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Answer:
%75
Step-by-step explanation:
minus 25 from 100
2x-y=2--------------(i)
2x-2y=4------------(ii)
Multiplying eqn i by 2 and subtracting with ii
4x-2y=4
2x-2y=4
- + -
________
2x=0
X=0
Putting the value of x in i
2×0-y=2
-y=2
y=-2
Hence the value of x is 0 and y is -2
Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
3a to the power of 2 plus 5a minus 2