Answer:
3rd option
Step-by-step explanation:
A direct variation is expressed in this form:
y = kx
1. y - 4x = 8
y = 4x + 8 is not a direct variation
2. y + 2 = 7x
y = 7x - 2 is not a direct variation
3. y - 3x = 0
y = 3x is a direct variation
4. y = 5x - 2
y = 5x - 2 is not direct variation
withdrawals are when cash is taken out from the account
Flora withdraws an amount of $75 at a time from her bank account
she makes 7 such withdrawals
one withdrawal she takes out - $75
then seven withdrawals leads to - $75 x 7 = $525
then overall change in her account has been a net withdrawal of $525
so the overall change in the account is -$525
The polynomial to be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n² is: 3m² - 11n² + 9mn.
<h3>Addition of Polynomials</h3>
Like terms should be combined together when adding polynomials.
Let x represent the polynomial expression that would be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n².
Therefore:
–7mn + 2m² + 3n² + x = 5m² + 2mn - 9n².
x = 5m² + 2mn - 9n² - (-7mn + 2m² + 3n²)
x = 5m² + 2mn - 9n² + 7mn - 2m² - 3n²
Combine like terms together.
x = 3m² - 11n² + 9mn
Therefore, the polynomial to be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n² is: 3m² - 11n² + 9mn.
Learn more about polynomial on:
brainly.com/question/24662212