First off, you can rewrite your equation like so: c=(a-b)x. You can then plug in your given constraints for your choices. If a-b = 1 and c = 0 leaving: 0=1(x), x must equal 0 and only 0 as any constant multiplied by 0 equals 0. So that choice is eliminated. Now let's consider when a=b and c != 0. Since we are given a-b and a=b and c != 0, we have:
c = 0x. This contradicts our claim we made about our constraints. C cannot equal zero but we have a-b=0. Therefore, this claim makes no sense as any value for x will not satisfy the equation. This choice is valid. When a=b and c=0, we have: 0 = 0x. Here, x can be any value and still return 0 as an answer. This choice is valid. If a-b=1 and c != 1, we have: c = 1x. Our only rule here is that c cannot equal 1. This means that x can be any value other than 1 so this choice can be marked down. If a != b and c=0, this gives: 0 = (a-b)x. Given that a-b can be any value, x must be equal to only 0 to satisfy this equation so this choice can't be correct. So the right answers are: option 2, option 3, option 4 and option 5.
Step-by-step explanation:
![- 6x - 17 > 8x + 25 \\ - 6x - 8x > 17 + 25 \\ - 14x > 42 \\ \frac{ - 14x}{14} > \frac{42}{14} \\ - x > 3 \\ x < - 3](https://tex.z-dn.net/?f=%20-%206x%20-%2017%20%3E%208x%20%2B%2025%20%5C%5C%20%20-%206x%20-%208x%20%3E%2017%20%2B%2025%20%5C%5C%20%20-%2014x%20%3E%2042%20%5C%5C%20%20%5Cfrac%7B%20-%2014x%7D%7B14%7D%20%20%3E%20%20%5Cfrac%7B42%7D%7B14%7D%20%20%5C%5C%20%20-%20x%20%3E%203%20%5C%5C%20x%20%20%3C%20%20-%203)
Answer:
10 is answer of this question
The answer is C. 21/50 is 0.42. 7/50 is 0.14. 19/50 is 0.38. 43/50 is 0.86. To convert a fraction to a decimal, you will have to divide the numerator by the denominator.
Hope this helped.
Answer:
9. b. sometimes true
10. a. always true
Explanation:
9. Any function will have an inverse relation. This question is not specific as to whether that inverse <em>relation</em> must be a <em>function</em>. We will assume that that is the intent.
The attached graph shows a cubic function with an inverse function (green), and another without (red).
A cubic function will have an inverse <em>function</em> sometimes.
____
10. As stated above, any function will have an inverse <em>relation</em>.
A linear function will have an inverse relation always.
__
The graph shows a linear function with an inverse function (green), and one that has an inverse <em>relation</em>, but not an inverse <em>function</em> (red).