Answer:
should be subtracted from
to get the difference equal to ![x^2 - x](https://tex.z-dn.net/?f=%20x%5E2%20-%20x)
Step-by-step explanation:
Here, the given polynomial ![P(x) = 7x^2- 6x+5](https://tex.z-dn.net/?f=P%28x%29%20%3D%207x%5E2-%206x%2B5%20)
And, The other Polynomial ![R(x) = x^2 - x](https://tex.z-dn.net/?f=R%28x%29%20%20%3D%20x%5E2%20-%20x)
Let us assume there exists a polynomial Q(x) such that the difference of P(x) and Q(x) is R (x):
⇒P(x) - Q(x) = R (x)
![\implies (7x^2- 6x+5) - Q(x) = (x^2 - x)](https://tex.z-dn.net/?f=%5Cimplies%20%20%287x%5E2-%206x%2B5%29%20-%20Q%28x%29%20%3D%20%28x%5E2%20-%20x%29)
![\implies Q(x) = (7x^2- 6x+5) - (x^2 -x) = 7x^2- 6x+5 - x^2 + x = 6x^2- 5x + 5\\\implies Q(x) = (6x^2- 5x + 5)](https://tex.z-dn.net/?f=%5Cimplies%20Q%28x%29%20%3D%20%287x%5E2-%206x%2B5%29%20-%20%28x%5E2%20-x%29%20%20%3D%207x%5E2-%206x%2B5%20-%20x%5E2%20%2B%20x%20%3D%20%206x%5E2-%205x%20%2B%205%5C%5C%5Cimplies%20Q%28x%29%20%3D%20%286x%5E2-%205x%20%2B%205%29)
Hence,
should be subtracted from
to get the difference equal to ![x^2 - x](https://tex.z-dn.net/?f=%20x%5E2%20-%20x)
Answer: oranges=60% non-oranges=40%
Step-by-step explanation: divide by total to find percentages
oranges=9/15
9/15=60%
non oranges=6/15
6/15=40%
The answer to 5 x 5 x 5 x 2 is 250!
Answer: it will take 23 weeks for both of them to weigh the same.
Step-by-step explanation:
Let x represent the number of weeks that it will take both of them to weigh the same.
Let y represent the weight of Jose in x weeks.
Let z represent the weight of Marty in x weeks.
Jose weighs 180 pounds and plans on gaining 2 pounds per week. This means that
y = 180 + 2x - - - - - - - - 1
Marty weighs 249 pounds and plans on losing 1 pound per week. This means that
z = 249 - x - - - - - - - - 2
To determine the number of weeks that it will take both of them to weigh the same, we will equate both equations. It becomes
180 + 2x = 249 - x
2x + x = 249 - 180
3x = 69
x = 69/3 = 23