Step-by-step explanation:
Given.
Take the second equation and subtract 2y to both sides.
Substitute x into the first equation and simplify.
Invert.
Substitute Y into your second equation.
Add -6 to both sides.
Answer:
(6, -3)
Solve the following Absolute Value Equation. Type the 2 solutions in the
1 answer:
Answer:
-9, 15
Step-by-step explanation:
Subtract 7 and multiply by 4
1/4 |2x-6| +7 = 13
1/4 |2x -6| = 6
|2x -6| = 24
2x -6 = ± 24
2x = 6 ±24
x = 3 ±12
x = -9, 15
_____
For graphing purposes, it is often convenient to rewrite the equation so the solutions are where the function is zero. Here, we can do that by subtracting 13 from the equation.
(1/4 |2x -6| +7) -13 = 0
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Answer:
200,000
Step-by-step explanation:
To find how many times smaller is smaller number than greater number, divide greater number by smaller number.
Greater number
Smaller number
Then
So for this, we will be using synthetic division. To set it up, have the equation so that the divisor is -10 (since that is the solution of k + 10 = 0) and the dividend are the coefficients. Our equation will look as such:
<em>(Note that synthetic division can only be used when the divisor is a 1st degree binomial)</em>
- -10 | 1 + 2 - 82 - 28
- ---------------------------
Now firstly, drop the 1:
- -10 | 1 + 2 - 82 - 28
- ↓
- -------------------------
- 1
Next, you are going to multiply -10 and 1, and then combine the product with 2.
- -10 | 1 + 2 - 82 - 28
- ↓ - 10
- -------------------------
- 1 - 8
Next, multiply -10 and -8, then combine the product with -82:
- -10 | 1 + 2 - 82 - 28
- ↓ -10 + 80
- -------------------------
- 1 - 8 - 2
Next, multiply -10 and -2, then combine the product with -28:
- -10 | 1 + 2 - 82 - 28
- ↓ -10 + 80 + 20
- -------------------------
- 1 - 8 - 2 - 8
Now, since we know that the degree of the dividend is 3, this means that the degree of the quotient is 2. Using this, the first 3 terms are k^2, k, and the constant, or in this case k² - 8k - 2. Now what about the last coefficient -8? Well this is our remainder, and will be written as -8/(k + 10).
<u>Putting it together, the quotient is </u>