Answer:
f(x) = -3x
--->#6
f(x) = |x-1|+3
--->#5
f(x) = √(x+3)
--->#3
1/2x²
--->#1
f(x) = (x+1)²-3
--->#4
4|x|--->#2
Step-by-step explanation:
Recall for transformations:
- Adding a number outside the function moves it up
- Subtracting a number outside the function moves it down
- Adding inside the function moves it to the left
- Subtracting inside the function moves it to the right
- Multiplying to the function by a number less than 1 compresses
- Multiplying to a function by a number greater than 1 stretched it
- Multiplying by a negative flips the graph
f(x) = -3x
This is multiplication by a number greater than 1 and a negative so this stretches and flip. This is #6, a reflection.
f(x) = |x-1|+3
Subtraction inside the function shifts it to the right 1 and addition outside shifts it up 3. This is #5.
f(x) = √(x+3)
Addition inside the function shifts it to the left 3. This is #3
1/2x²
Multiplication by 1/2 which is less than 1 compresses it. This is #1.
f(x) = (x+1)²-3
Addition inside the function shifts the function to the left once. This is #4.
4|x|
Multiplying by 4, a number greater than 1, stretches it. This is #2.
10 cars and 10 trains in 100 hours
it approximately take him 10 hours to build one car and one train how 6+4=10 how many times can 10 go into 100 10 times hope this helps a little
Answer:
it is 5.9 A
Step-by-step explanation:
Hey there!
If we have two white marbles and seven purple marbles, our first probability is out of nine.
First of all, we have the probability of selecting a purple marble, 7/9.
Now, if we do not replace it, there are only eight marbles left. Therefore, getting a white marble is 2/8, or 1/4.
We multiply these probabilities together to get our answer to a.
7/9(1/4)= 7/36
a. 7/36
Now, let's do b. We have 2/9, and then 1/8, giving us 1/36.
b. 1/36
Now, let's calculate selecting two purple to help us with C.
We have 7/9, and then 6/8, or 3/4.
7/9(3/4)= 7/12
Since there is a majority of purple marbles, there is a C) greater probability of selecting two purple marbles in a row.
I hope this helps!