Work is attached. Hope it helps!
Answer:
- 3/2 - 3/4
- 5/3 - 11/12
- 5/4 - 1/2
- 7/5 - 13/20
- 5/6 - 1/2
- 9/7 - 15/28
- 9/8 - 3/8
- 9/10 - 3/20
- 9/11 - 3/44
Step-by-step explanation:
We did a systematic search for subtraction problems of this type, eliminating ones that are too trivial, such as 1/1 - 1/4 and equivalents of those with integers added, such as 3/1 - 9/4. Even so, there are an infinite number of possibilities. some of the ones involving larger numbers in the range we looked at include ...
- 41/45 - 29/180
- 41/49 - 17/196
- 41/53 - 5/212
___
A reasonable approach to doing this by hand seems to be to choose a denominator for the minuend, then a denominator 4 times that value for the subtrahend. Express 3/4 using the latter denominator, and find two numbers that differ by that numerator, one of which is divisible by 4, but not by 8.
<u>Example</u>: Choose 13 as the minuend denominator. Then 52 is the subtrahend denominator, and the difference you need to create is 39/52. The smallest odd number we can add to 39 to make it divisible by 4 but not 8 is 5. So, we can use (39+5)/52 and 5/52 as our numbers that differ by 3/4. In reduced form, that subtraction is ...
11/13 - 5/52
Note that if you choose an even denominator, then the exact procedure will vary depending on what power of 2 is a factor of the denominator.
The answer would be $2.47
<h3>
Answer: A) linear function</h3>
Each time x goes up by 2, y decreases by 4
This indicates we have a linear function. The slope in this case would be
m = rise/run = (change in y)/(change in x) = -4/2 = -2
The y intercept can be found by following these steps
y = mx+b
0 = -2(5)+b
0 = -10+b
10 = b
b = 10
Therefore, the equation of this line is y = -2x+10. Plug in something like x = 1 and it should lead to y = 8. The same applies for any other column of x,y values.
an instruction, command, or duty given to a person or group of people
