Answer:
Let the to consecutive odd integers be 2n-1 and 2n+1
their average is
=>
=
= 
The square of the average is 
= 
One less than the square of their average = 
-----------------------------(1)
Now the product of the two consecutive odd numbers
(2n-1)( 2n+1) =
= 
------------------------------------(2)
From (1) and (2) ,
We can say that the product of two consecutive odd integers is always one less than the square of their average is true
For consecutive even integers
The product of two consecutive integers
(2n)(2n+2) = 
----------------------------(3)
Whereas, the one less than the square of their average is
= 
= 
=
= 2n--------------------------------------------(4)
From (3) and (4) it is clear that product of two consecutive even integers is not one less than the square of their average.
Answer:
y will be in every single quadrant
Step-by-step explanation:
So we have the equation 
first we will have to look at the equation. It says that y is less than or equal to 
since y is less than the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way
Answer: 4 ( x + 1 ) ( 2 x − 3 )
8 x 2 − 4 x − 12 8x2-4x-12 Factor 4 4 out of 8 x 2 − 4 x − 12 8x2-4x-12 .
Answer:
1/7 +5/9={1×9+5×7)/(9×7)=44/63is your answer
Since Pauline spent $7.50 for 3 days, all you have to do is multiply 7.50 by 3 to get 22.50. Your answer would be D.<span>(7.50) × (3) = 22.50; She spent $22.50.</span>
Hope this helps,
♥Nikki♥
