x = 4
x = -1
x = 0
Equation at the end of step 1 :
((3 • (x3)) - 32x2) - 12x = 0
Step 2 :
Equation at the end of step 2 :
(3x3 - 32x2) - 12x = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)
Trying to factor by splitting the middle term
4.2 Factoring x2 - 3x - 4
The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization
Answer:
Step-by-step explanation:
If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.
If we introduce a constant of proportionality, k , the relationship would be
t = kg
Given that
When t = 18, g = 10, then
18 = k × 10
k = 18/10 = 1.8
Therefore, the equation representing the relationship is
t = 1.8g
The normal balance of an accounts payable is credit.
So you start with $800-cr
Any debit posting will reduce that normal balance and any credit posting will increase the normal balance.
The $600 debit posting will create a $200 credit balance(800-600)
The $300 credit posting will create a $500 credit balance(300+200)
Answer: A. $500 - Credit.
It may help to figure it out if you create a t-chart and enter the amounts.
