9514 1404 393
Answer:
-2x +4
Step-by-step explanation:
We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...
p(x) = (x+2)(x-3)q(x) +ax +b
Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...
p(-2) = 8 = -2a +b
p(3) = -2 = 3a +b
Subtracting the first equation from the second gives ...
(3a +b) -(-2a +b) = (-2) -(8)
5a = -10
a = -2
Then the first equation tells us ...
8 = -2(-2) +b
4 = b
So, the remainder from division by (x^2 -x -6) is (-2x +4).
1/3 you can use two formulas but I recommend rise over run
I’m not completely sure about the answers but i can say this: every month adrienne get 5 new dollars. so if it was at like 2 months and $10 (for example) the next month (month 3) she would have $15
Answer:
Step-by-step explanation:
I'm assuming you are solving this system for x, y, and z. Do it this way:
Combine the first 2 equations and the second 2 equations and eliminate the y's. The first 2 equations:
x + y + z = 3
x - y + z = 2
which solves to
2x + 2z = 5
The second 2 equations:
x - y + z = 2
x + y - z = 1
which solves to
2x = 3 so
x = 3/2 or 1.5
Now sub that x value into the bold equation above to get:
2(1.5) + 2z = 5 and
3 + 2z = 5 and
2z = 2 so
z = 1
Now we plug back in to solve for y:
1.5 + y + 1 = 3 and
2.5 + y = 3 so
y = .5
The solution set then is (1.5, .5, 1) or in fraction form:
