Answer:
a = 1
b = -1
Step-by-step explanation:
First, let's make equations out of those given f(x)'s
-4 = -3a + b
2 = 3a + b
We can use elimination method to get rid of the a real quick
-4 = b
2 = b
Add those together
-2 = 2b
Divide both sides by 2
-2/2 = 2b/2
b = -1
Plug in the new b in one of the original equations; I'm gonna use the bottom one
2 = 3a - 1
+ 1 + 1
3 = 3a
3/3 = 3a/3
a = 1
Let

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

So, the base case is ok. Now, we need to assume
and prove
.
states that

Since we're assuming
, we can substitute the sum of the first n terms with their expression:

Which terminates the proof, since we showed that

as required
Answer:
Step-by-step explanation:
the shape looks like a cube.. and maybe they say something about that outside of the picture, even but assuming that it is a cube, we know all the sides are the same.
we also know that the area of one side of the cube is 3 
so multiply that
W x L = area
3
* 3
= area
10
= area
10.5625 = area
those two answer above are the same .. just one is in fractions and one is in decimals
there are 6 sides on a cube, so multiply the above answer by 6
6* answer = 63.375
63
( this is your answer)
both of those are also identical , but look different for the reasons I mentioned above
use which ever from seems better to you. :)
Answer:
8
Step-by-step explanation:
1/4 times 8 is 2
Answer:
Step-by-step explanation:
27 - 1.5x ≤ 36
54 - 3x ≤ 72
54 - 72 ≤3x
-18 ≤ 3x
-6 ≤ x
x ≥ -6