Answer:
![Time = 1.978\ min](https://tex.z-dn.net/?f=Time%20%3D%201.978%5C%20min)
Step-by-step explanation:
Given
--- Flow rate of the shower
--- Drain rate of the bathtub
-- Bathtub size
Required
Determine the maximum time of shower
First, we calculate the rate at which the bathtub fills.
![R_3 = R_1 + R_2](https://tex.z-dn.net/?f=R_3%20%3D%20R_1%20%2B%20R_2)
![R_3 = 2.25 + 20.5](https://tex.z-dn.net/?f=R_3%20%3D%202.25%20%2B%2020.5)
![R_3 = 22.75gal/min](https://tex.z-dn.net/?f=R_3%20%3D%2022.75gal%2Fmin)
The maximum time of shower is:
![Time = \frac{Size}{R_3}](https://tex.z-dn.net/?f=Time%20%3D%20%5Cfrac%7BSize%7D%7BR_3%7D)
![Time = \frac{45gal}{22.75gal/min}](https://tex.z-dn.net/?f=Time%20%3D%20%5Cfrac%7B45gal%7D%7B22.75gal%2Fmin%7D)
4. y= 1.5x-5 5. y=5/3x-4 6. y=4/3x-3 7. y=1/2x-5 8.y=-5x 9. y=-3/4x+10
Answer:
They will be able to sell 28 vases, with none left over.
Step-by-step explanation:
We do 14x12, since it is 14 dozens. It is 168. Then we divide by six since there are 6 roses in each vase. We get 28 with no remainders, meaning there are none left over.
Answer:
(a variation of) vertex form
Step-by-step explanation:
For vertical scale factor "a" and vertex (h, k), the vertex form of the equation for a parabola can be written as ...
y = a(x -h)^2 +k
If k is subtracted from this equation, an alternate form is ...
y -k = a(x -h)^2
This latter version of vertex form is the form your equation has, where ...
First you would have to get x by itself
In order to do this, you would have to move -6 to the other side
To do that, simply just add 6 to both sides
-6+6+x=-1+6
x=5
So the answer would be x=5
Hope this helps!