Answer:
2x+8x=x-16?
10x=x-16
9x=-16
x=-16/9?
Step-by-step explanation:
The absolute value is 4 5/19
Part I - First synthetic division
You need to use synthetic division to come up with an expression for a and b:
(x + 2) is a factor, and the remainder is 7, so we can draw a synthetic division table...
coefficients = 1 for X^3; A for X^2; B for X^1; and 3
-2 | 1 A B 3
-2 -2(A-2) 4(A-2)-2B
1 (A-2) -2(A-2)+B 4(A-2)-2B + 3
Remainder = 7
<u>So...</u>
4(A-2)-2B + 3 = 7
4 * (A - 2) - 2B + 3 = 7
4A - 8 - 2B = 4
4A - 2B = 12
2A - B = 6
Proved
-------------------------------------------------------------------------------------------------------------------
Part II - Second Synthetic Division
We draw another synthetic division table, this time with (x - 1), so the number on the left hand side will be +1
1 | 1 A B 3
1 (A+1) A+B+1
1 (A+1) A+B+1 A+B+4
Remainder = 4
<u>So...</u>
A + B + 4 = 4
A + B = 0
<u>A = -B
</u>
-------------------------------------------------------------------------------------------------------------------
Part III - Solving for A and B with our two simultaneous equations
We know that<u> </u><u>A = -B</u><u /> and we also know that 2A - B = 6
Since we know that A is equal to -B We can substitute in A for -B, to get:
2A - B = 6
Therefore...
2A + A = 6
3A = 6
<u>A = 2</u>
Again, as we know that A = -B, and as we have found that A = 2, we can see:
A = -B
Therefore...
2 = -B
<u>B = -2
</u>
So our final answer is <u>A = 2, B = -2</u><u />
Hopefully this answer is more useful than the last one, and isn't so confusing!
<h3>
Answer: 5/19</h3>
=========================================================
Explanation:
There are A = 10 red cards out of B = 10+10 = 20 cards total.
A/B = 10/20 = 1/2 represents the probability of picking a red card.
After that card is selected, there are C = 10 black cards out of D = 20-1 = 19 cards left. The fraction C/D = 10/19 represents the probability of picking a black card where we did not put the first red card back.
Multiply the two fractions we found.
(A/B)*(C/D) = (1/2)*(10/19) = 10/38 = 5/19 is the probability of getting the first card that is red and the second card that is black.
Answer:
what kind of homework your teacher giving you
