This was my answer for someone else question exactly like this :)
Answer:
Contradiction
Step-by-step explanation:
Suppose that G has more than one cycle and let C be one of the cycles of G, if we remove one of the edges of C from G, then by our supposition the new graph G' would have a cycle. However, the number of edges of G' is equal to m-1=n-1 and G' has the same vertices of G, which means that n is the number of vertices of G. Therefore, the number of edges of G' is equal to the number of vertices of G' minus 1, which tells us that G' is a tree (it has no cycles), and so we get a contradiction.
Chin is correct because 5 x $.65 is $3.25., and he multiplied by US/GB
Nadene is incorrect because she took GB/US x 5
Answer:
1. d 2. d 3. a
Step-by-step explanation:
1. factor
((w-4)(w-6))/((w-5)(w-6))+8/(w-5)
solve
(w-4)/(w-5)+8/(w-5)
(w+4)/(w-5), so d
2.factor
((b+2)(b-4))((b+2)(b-1))-6/(b-1)
solve
(b-4)/(b-1)-6(b-1)
(b-10)/(b-1), so d
3. (2/5t-3/3t)/(1/2t+1/2t)
(2/5t-1/t)/(2/2t)
(2/5t-1/t)/(1/t)
t(2/5t-1/t)
2/5-1=-3/5, so a
Answer:
Step-by-step explanation:
If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points. Suppose we use (-4, 3) and (0, 1):
As we move from (-4, 3) to (0, 1), x increases by 4 and y decreases by 2. Hence, the slope of this lilne is m = rise/run = -2/4, or m = -1/2.
Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:
1 = (-1/2)(0) + b, or b = 1. Then the desired equation is y = f(x) = (-1/2)x + 1
