Please see the <em>blue</em> curve of the image attached below to know the graph of the function g(x) = (1/3) · 2ˣ.
<h3>How to graph a transformed function</h3>
Herein we have an <em>original</em> function f(x). The <em>transformed</em> function g(x) is the result of <em>compressing</em> f(x) by 1/3. Then, we find that g(x) = (1/3) · 2ˣ. Lastly, we graph both function on a <em>Cartesian</em> plane with the help of a <em>graphing</em> tool.
The result is attached below. Please notice that the <em>original</em> function f(x) is represented by the red curve, while the <em>transformed</em> function g(x) is represented by the blue curve.
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Answer:
3 3/4
Step-by-step explanation: all that you have to do is add 1/3 +2/3+11/4 which gives you 3 3/4
three and twenty-seven thousand, five hundred twenty-five hundred-thousandths
#1) 5/20
#2) 7/300
#3) 3/50
#4) 5/20
Explanation
For #1:
There are 15 even numbers out of 30. Since it is replaced before drawing the second ball, there will be 15 odd numbers out of 30. This gives us
15/30(15/30) = 225/900 = 5/20.
For #2:
There is 1 7 out of 30; then there are 14 numbers greater than 16 out of 30:
1/30(14/30) = 14/900 = 7/300
For #3:
There are 6 multiples of 5 out of 30; then there are 9 prime numbers out of 30:
6/30(9/30) = 54/900 = 3/50
For #4:
There are 15 even numbers out of 30; then there are still 15 even numbers out of 30:
15/30(15/30) = 225/900 = 5/20
Answer:
Step-by-step explanation:
We can observe that x coordinate increases on line segment JL from J and y coordinate decreases.
<u>The difference in x:</u>
<u>The difference in y:</u>
<u>Point K is at 3/7 distance from J, so it's coordinates will be:</u>
- -18 -(-21*3/7) = -18 + 9 = -9
- 17 - (28*3/7) = 12- 7 = 5
So K = ( -9, 5)
