Answer:
The second graph is the correct graph
Step-by-step explanation:
Here's a way to do it.
Let 4e +2 = 5n +1 . . . . . . for some integer n
Then e = (5n -1)/4 = n + (n -1)/4
We want (n-1)/4 to be an integer, so let it be integer m.
... m = (n -1)/4
... 4m = n -1
... 4m +1 = n
Substituting this into our expression for e gives
... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1
e = 5m+1 for any integer m
Answer:
y=1/2x-5
Step-by-step explanation:
From the picture you can see that (0, -5) is a point on the function and that (2, -4) is another point. Using these you can find the slope of the function with the equation
We can substitute in the points so it looks like
or 
which is the slope of the function
Now, since the y-intercept is (0, -5) on the graph, the b part in the slope-intercept form of the equation would be -5, leaving us with the equation y=1/2x-5
Answer:
m and k
Step-by-step explanation:
Answer:
3/14
Step-by-step explanation:
5/7 minus 1/2 is 5/7 - 1/2
5/7 and 1/2 are both called proper fractions. 5 and 1 in each fraction are called the numerator while 7 and 2 are called denominators
5/7 - 1/2
Step one
Find the lowest common multiple (LCM) of the denominators of each fractions
Multiples of 7
7 x 1 = 7
7 x 2 = 14
7 x 3 = 21
Multiples of 2
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
2 x 5 = 10
2 x 6 = 12
2 x 7 = 14
The lowest common multiple of 2 and 7 is 14
Step 2
The LCM of 2 and 7 becomes the common denominator for both fractions.
14/7 = 2
14/2 = 7
5/7 - 1/2 = [2(5) - 7(1)]/14 = (10 - 7)/14
= 3/14
