Answer:
998/1200 and 997/1200
Step-by-step explanation:
It’s hard to compare 5/6 and 83/100 in their current states. Let’s find a common denominator. Take 600. We know that this will work because both 6 and 100 go into it. Multiplying 5 by 100 and 83 by 6 to find the common denominator, we can compare them at 498/600 and 500/600. However, there is only one number (499/600) between them. Thus, we will multiply each number by 2/2, which is 1. Our numbers are then 996/1200 and 1000/1200. Two numbers between them are then 997/1200 and 998/1200
<span>5/8 = 2m + 3/8
Subtract 3/8 from 5/8
2/8=2m
Divide 2 on both sides
Final Answer: 2/16 or 1/8 *Both answers are equivalent to each other.</span>
Answer:
Step-by-step explanation:
First, we can transform y = cos(x) to y = 3*cos(x) by stretching the graph vertically by a factor of 3. At x = 0, the y value would now be 3 * 1 = 3 instead of 1 (the stretching would cause all new y-values to be 3 times their original values for any given x).
Now transforming y = 3*cos(x) to y = 3*cos(10*x) will stretch the graph horizontally by a factor of 10 (for any given y value, the new x value corresponding to it is 10 times the original x value).
Finally, to transform y = 3*cos(10*x) to y = 3*cos(10(x-pi)), shift the graph to the right by pi.
Answer:
D
Step-by-step explanation:
The red graph is vertically shifted from the blue graph. Let's understand horizontal and vertical shifts.
If we have a graph of
, then
- f(x) + a is a units shifted vertically up
- f(x) - a is a units shifted vertically down
- f(x-b) is b units shifted horizontally right
- f(x+b) is b units shifted horizontally left
Since the red one is vertically shifted 3 units up (compared to blue graph), the equation would be:

Correct answer is D