I believe the answer will always be one.
Heres an example: 5/8 • 8/5 = 1
Answer:
![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
Step-by-step explanation:
=> ![\frac{6+(-5-7)}{2-8(3)}](https://tex.z-dn.net/?f=%5Cfrac%7B6%2B%28-5-7%29%7D%7B2-8%283%29%7D)
=> ![\frac{6+(-12)}{2-24}](https://tex.z-dn.net/?f=%5Cfrac%7B6%2B%28-12%29%7D%7B2-24%7D)
=> ![\frac{6-12}{-22}](https://tex.z-dn.net/?f=%5Cfrac%7B6-12%7D%7B-22%7D)
=> ![\frac{-6}{-22}](https://tex.z-dn.net/?f=%5Cfrac%7B-6%7D%7B-22%7D)
=> ![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
Answer:
all real numbers except ±5.
Step-by-step explanation:
Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.
The domain of (f/g)(x) is all real numbers except ±5.
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Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:
- add 25 and take the square root: x^2=25; x=±√25.
- factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.
Answer:
Step-by-step explanation:
Subtract 73 from 180 to get 107. Then divide 107 by 2 to get 53.5 degrees. For each angle. Meaning angle B is 53.5 or 54 degrees.
Scores on an AP Exam at a local high school are recorded in the table. What was the average score?
Answer: D) 4.266 is correct
Explanation:
We are given the below frequency table:
Score Frequency
1 | 0
2 | 3
3 | 4
4 | 16
5 | 22
Let's denote the score by
and frequency by
.
The average formula is:
![Average=\frac{\sum fx}{\sum f}](https://tex.z-dn.net/?f=Average%3D%5Cfrac%7B%5Csum%20fx%7D%7B%5Csum%20f%7D)
![=\frac{(1\times0) + (2\times3)+(3\times4) +(4\times16) + (5\times22)}{0+3+4+16+22}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%281%5Ctimes0%29%20%2B%20%282%5Ctimes3%29%2B%283%5Ctimes4%29%20%2B%284%5Ctimes16%29%20%2B%20%285%5Ctimes22%29%7D%7B0%2B3%2B4%2B16%2B22%7D)
![=\frac{0+6+12+64+110}{45}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B0%2B6%2B12%2B64%2B110%7D%7B45%7D)
![=\frac{192}{45}=4.267](https://tex.z-dn.net/?f=%3D%5Cfrac%7B192%7D%7B45%7D%3D4.267)
Therefore, the average score was 4.267
Hence the option D) 4.266