If you look at your graph you see that there is a hole at x = 3. This results from a removeable discontinuity. That means that when we factor the numerator to (x-3)(x-1), that (x-3) cancels out between the numerator and denominator and a hole is what results from that cancelation. The other factor for the denominator is found where the vertical asymptote of the function is, which is found at x = -4. That means that the 2 factors for the denomonator are (x-3) and (x+4). When you FOIL those out, you get
. That means that a = 1 and b = -12
Answer:
Option C: 126
Step-by-step explanation:
Total displays to be assembled = 280
25% of the displays are assembled during the first hour, this value becomes:
![0.25\times280=70](https://tex.z-dn.net/?f=0.25%5Ctimes280%3D70)
Remaining displays = ![280-70=210](https://tex.z-dn.net/?f=280-70%3D210)
40% of the remaining displays during the second hour, the value becomes:
![0.40\times210=84](https://tex.z-dn.net/?f=0.40%5Ctimes210%3D84)
Hence, number of displays that will not have been assembled by the end of the second hour = ![210-84=126](https://tex.z-dn.net/?f=210-84%3D126)
Therefore, the answer is 126.
Answer:
The answer is:
She used the wrong common denominator
Step-by-step explanation:
Solving the given equation
![\frac{x}{x^2-5x+6}+\frac{x}{x+3}\\\\Step 1: \frac{x}{(x-2)(x-3)}+\frac{x}{x+3}\\Step2: \frac{x}{(x-2)(x-3)}+\frac{x(x-2)}{(x-2)(x+3)}\\Step3:\frac{x(x+3)+x(x-2)(x+3)}{(x-2)(x-3)(x+3)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%5E2-5x%2B6%7D%2B%5Cfrac%7Bx%7D%7Bx%2B3%7D%5C%5C%5C%5CStep%201%3A%20%5Cfrac%7Bx%7D%7B%28x-2%29%28x-3%29%7D%2B%5Cfrac%7Bx%7D%7Bx%2B3%7D%5C%5CStep2%3A%20%5Cfrac%7Bx%7D%7B%28x-2%29%28x-3%29%7D%2B%5Cfrac%7Bx%28x-2%29%7D%7B%28x-2%29%28x%2B3%29%7D%5C%5CStep3%3A%5Cfrac%7Bx%28x%2B3%29%2Bx%28x-2%29%28x%2B3%29%7D%7B%28x-2%29%28x-3%29%28x%2B3%29%7D)
Lets consider the steps given in the question:
![Step2: \frac{x}{(x-2)(x+3)}+\frac{3(x-2)}{(x-2)(x+3)}](https://tex.z-dn.net/?f=Step2%3A%20%5Cfrac%7Bx%7D%7B%28x-2%29%28x%2B3%29%7D%2B%5Cfrac%7B3%28x-2%29%7D%7B%28x-2%29%28x%2B3%29%7D)
![Step3: \frac{x+3(x-2)}{(x-2)(x+3)}\\](https://tex.z-dn.net/?f=Step3%3A%20%5Cfrac%7Bx%2B3%28x-2%29%7D%7B%28x-2%29%28x%2B3%29%7D%5C%5C)
Lets compare both solutions:
In the original solution, the denominator of first term is (x-2)(x-3)
In the solution given in the question, the denominator of first term is (x-2)(x+3).
So the mistake she did in step 2 was that she change the sign of 3 in (x-3) from negative to positive, due to which she gets the wrong common denominator shown in Step 3.
Answer:
Step-by-step explanation:
<u>Given</u>
- Time = 20 years = 240 months
- Mortgage amount = $90000
- Selling price = $110000
- Monthly payment = $898.20
<u>a) total amount</u>
- 110000 - 90000 + 240*898.20 =
- 20000 + 215568 =
- $235568
<u>b) Interest cost</u>
- $235568 - $110000 =
- $125568
Answer: m-10
Step-by-step explanation:
Nana was m-10 years old ten years ago.
I hope this helped!