Answer:
12/4 is equal to 3
Step-by-step explanation:
I looked for numbers that were multiples of 4 and divided all of them to see which one was equal to 3.
12 divided by 4 = 3
Definitions:
A number, x, is even if it satisfies: x = 2n for some integer n
A number, x, is odd if it satisfies: x = 2k+1 for some integer k
Rewriting the Question:
In this case the question is asking if there is a number, x, that is has the following property:
x = 2n for some integer n AND x = 2k+1 for some integer k
Proof:
We can set these two equations equal:
2n = x = 2k + 1
2n = 2k + 1
2n - 2k = 1
2(n - k) = 1
Let number y = n - k. Note that since n and k are integers, n-k (and therefore, y) must also be an integer.
2y = 1
You can see on the left side (2y) that this becomes the definition of an even number! So the left side is an even number and the right side is 1. Since we know by definition that 1 is not an even number and k must be an integer (not 0.5), this equation becomes false.
As a result, there are NO numbers that can be both even AND odd.
Answer:
6.8 pounds
Step-by-step explanation:
Subtract the smaller watermelon weight from the large watermelon weight to find the difference between the two weights
larger-smaller
10.4-3.6
6.8
So, the smaller watermelon weighs 6.8 pounds less than the larger watermelon.
Hope this helps! :)
Answer: 
Step-by-step explanation:
Given :
re - writing the equation , we have
we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.
The formula for finding the quadratic equation when the roots are known is :
- sum of roots(x) + product of root = 0
sum of roots = -2 + 4 = 2
product of roots = -2 x 4 = -8
substituting into the formula , we have:
, which could be written in inequality form as
comparing with , it means that :
The final slope would be:
-3/4
EXPLANATION
rise over run.
(Rise is the y value)
From -2 to -17 is -15
From 4 to 24 is 20
Therefore the slops is -15/20
