If

is odd, then

while if

is even, then the sum would be

The latter case is easier to solve:

which means

.
In the odd case, instead of considering the above equation we can consider the partial sums. If

is odd, then the sum of the even integers between 1 and

would be

Now consider the partial sum up to the second-to-last term,

Subtracting this from the previous partial sum, we have

We're given that the sums must add to

, which means


But taking the differences now yields

and there is only one

for which

; namely,

. However, the sum of the even integers between 1 and 5 is

, whereas

. So there are no solutions to this over the odd integers.
Answer: $4.99
Step-by-step explanation:
14.97 ÷ 3; this will tell you the unit price of each individual fish.
The answer is $4.99.
***If you found my answer helpful, please give me the brainliest. :) ***
Answer:
Vertex (5 ,-9)
Step-by-step explanation:
Given : Function f(x) = (x – 8)(x – 2).
To find : What is the vertex of the quadratic function .
Solution : We have given that f(x) = (x – 8)(x – 2).
On removing parenthesis
f(x) = x²-2x -8x +16.
f(x) = x²-10x +16.
We need to find vertex of this function ,
Vertex: (h, k)
h = -
.
Plugging values
h = -
.
h = 5 this is the x- coordinate,
Now , we will plug x= 5 in quadratic function .
k = (5)²-10(5)+16.
k = 25-50 + 16
k= -9.
Vertex (5 ,-9)
Therefore, Vertex (5 ,-9).
Answer:Parallelogram, rhombus ,square
Step-by-step explanation: