For any function f(x) =y = f(x) + C ,c<0 the graph shifts down by c units.
For the function y = Cf(x) If C > 1 stretches it in the y-direction .We can stretch or compress it in the x-direction by multiplying x by a constant.
The given function f(x)=
is stretched in y direction by 3 units and shifted down by 4 units to have the graph g(x)=![9x^{2}. -4.](https://tex.z-dn.net/?f=9x%5E%7B2%7D.%20-4.)
Answer:
False
False
True
True
True
Step-by-step explanation:
There cannot be an orange bead in the bag. FALSE
they never said how many colors are in the bag so there is always a possibility.
There must be exactly 1 yellow bean in the bag. FALSE
Just because Ryan only selected 1 yellow bean doesn't mean there is only 1 in the bag.
After 15 trials, Ryan has selected exactly 6 white beads. TRUE
2/5 = 6/15. Ryan has selected 6 white beads
After 16 trials, the experimental probability of selecting a blue bead is 1/4. TRUE
Ryan has selected 4/16 blue beads at the 16th trial.
After 17 trials, the experimental probability of selecting a red bead is 5/17. TRUE
at trial 17, the red bean ratio is 5/17.
1/3 = 5/15 and then 2 more trials make it 5/17.
Answer:
80/3
Step-by-step explanation:
30 can be also written as 30/1
30/1*8/9
30*9=240
1*9=9
Then you simplify.
Both 240 and 9 can be divided by 3.
80/3
Answer:
![3^{-1}](https://tex.z-dn.net/?f=3%5E%7B-1%7D)
Step-by-step explanation:
Using the rule of exponents
⇔ ![a^{-n}](https://tex.z-dn.net/?f=a%5E%7B-n%7D)
Given
=
= ![3^{-1}](https://tex.z-dn.net/?f=3%5E%7B-1%7D)
Answer:
B
Step-by-step explanation:
All you have to basically do on this one is go backwards.
The beginning equation is 4x+4=12, so to first revesre the adding we are going to use 12, the product, and subtract 4 from it (since that is what was added).
12-4=8
Now you need to reverse the times 4, so to do that just divide instead because that is the invese of multiplication.
8/4=2
Now you have 2, which is the variable, x. To make sure this is right you can just put it into the equation and see if 4x2+4 is 12
Hope this helped!