y = sqrt(x) .... parent function
y = sqrt(x+2) .... replace x with x+2 to shift 2 units to the left
y = sqrt(x+2)+3 ... add on 3 to move 3 units up
y = sqrt(-x+2)+3 ... replace x with -x to reflect over y axis
<h3>Answer: y = sqrt(-x+2)+3</h3>
For this case we have a direct variation of the form:
![y = kx ^ 2](https://tex.z-dn.net/?f=y%20%3D%20kx%20%5E%202)
Where,
- <em>k: proportionality constant
</em>
We must find the value of k.
For this, we use the following data:
![y = 36\\x = 3](https://tex.z-dn.net/?f=y%20%3D%2036%5C%5Cx%20%3D%203)
Therefore, replacing values we have:
![36 = k (3) ^ 2](https://tex.z-dn.net/?f=36%20%3D%20k%20%283%29%20%5E%202)
Rewriting:
![36 = 9k](https://tex.z-dn.net/?f=36%20%3D%209k)
Clearing the value of k we have:
![k = \frac {36} {9}\\k = 4](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%20%7B36%7D%20%7B9%7D%5C%5Ck%20%3D%204)
Therefore, the direct variation equation is given by:
![y = 4x ^ 2](https://tex.z-dn.net/?f=y%20%3D%204x%20%5E%202)
Answer:
The quadratic variation equation for the relatonship is:
![y = 4x ^ 2](https://tex.z-dn.net/?f=y%20%3D%204x%20%5E%202)
Answer:
D) 24x + 52
Step-by-step explanation:
The perimeter of the purple rectangle is
P =2(l+w)
=2 (4x+5 + 2x+7)
Combine like terms
=2 (6x+12)
Distribute
= 12x +24
The perimeter of the white rectangle is
P =2(l+w)
P =2(3x+14 +3x)
Combine like terms
=2(6x+14)
Distribute
12x +28
Add the perimeters
12x +24 + 12x +28
24x +52
Answer:
Only 1 Time
Step-by-step explanation:
Since you know that one coin is fake and that the coin is lighter than the rest , then you would only need to weigh all the coins together 1 time to ensure that you will find the fake coin. We can determine this by doing the following.
<u>Example:</u>
Lets say we have 100 coins that weigh 1 gr each. Meaning that the total weight of the 100 coins would be (100coins*1gr = 100gr) <em><u>IF</u></em> there are no fake coins in the batch.
Knowing this we can weigh the entire batch 1 time and if the total weight is less than 100gr we know that the fake coin is in that batch.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.