A = L * W
A = 7 * 4
A = 28 sq ft....this is the area of her garden
and if each plant uses 1 sq ft, then there will be (30 - 28) = 2 plants leftover
Answer:
option A all real numbers
Step-by-step explanation:
domain is the all possible "X" values
and X has all real values
Answer:
the third from the top option
Step-by-step explanation:
Base case: For
, the left side is 2 and the right is
, so the base case holds.
Induction hypothesis: Assume the statement is true for
, that is
![2+6+10+\cdots+4k-2=2k^2](https://tex.z-dn.net/?f=2%2B6%2B10%2B%5Ccdots%2B4k-2%3D2k%5E2)
We want to show that this implies truth for
, that
![2+6+10+\cdots+4k-2+4(k+1)-2=2(k+1)^2](https://tex.z-dn.net/?f=2%2B6%2B10%2B%5Ccdots%2B4k-2%2B4%28k%2B1%29-2%3D2%28k%2B1%29%5E2)
The first
terms on the left reduce according to the assumption above, and we can simplify the
-th term a bit:
![\underbrace{2+6+10+\cdots+4k-2}_{2k^2}+4k+2](https://tex.z-dn.net/?f=%5Cunderbrace%7B2%2B6%2B10%2B%5Ccdots%2B4k-2%7D_%7B2k%5E2%7D%2B4k%2B2)
![2k^2+4k+2=2(k^2+2k+1)=2(k+1)^2](https://tex.z-dn.net/?f=2k%5E2%2B4k%2B2%3D2%28k%5E2%2B2k%2B1%29%3D2%28k%2B1%29%5E2)
so the statement is true for all
.