Answer:
y= 4(x+4)(x-1)
Step-by-step explanation:
Since the leading coefficient is 4, put that in front of the parentheses.
The root -4 must be added to x to be graphed correctly. The root 1 must be subtracted from x to be graphed correctly.
y= 4(x+4)(x-1)
The numbers are 13 and 2
which add to 15 and multiply to 26
Answer:
In Exercises 1-15 use mathematical induction to establish the formula for n ≥ 1.
1. 1
2 + 22 + 32 + · · · + n
2 =
n(n + 1)(2n + 1)
6
Proof:
For n = 1, the statement reduces to 12 =
1 · 2 · 3
6
and is obviously true.
Assuming the statement is true for n = k:
1
2 + 22 + 32 + · · · + k
2 =
k(k + 1)(2k + 1)
6
, (1)
we will prove that the statement must be true for n = k + 1:
1
2 + 22 + 32 + · · · + (k + 1)2 =
(k + 1)(k + 2)(2k + 3)
6
. (2)
The left-hand side of (2) can be written as
1
2 + 22 + 32 + · · · + k
2 + (k + 1)2
.
In view of (1), this simplifies to:
The volume of the smaller rectangular prism is 343 in^3 and the volume of the larger rectangular prism is 1,000 in^3.
Answer:
11 7/12
Step-by-step explanation:
Just add lol i know this isn't real explanation
