Answer:
<h2>It takes 36 minutes to fill the bathtub using just hot water.</h2>
Step-by-step explanation:
We are gonna name V the complete volume of the bathtub, which is filled a certain amount of minutes. Each filling rate or speed is gonna be expressed as: 
.
So, if we apply this consideration to each case we have:
Using cold and hot water: 
Using only cold water: 
Using only hot water: 
; because we don't knot the time it takes to fill the bathtub with hot water.
Now, as you can see, Cold and Hot water is a sum of cold water only and hot water only:
Solving the equation for <em>x: </em>
Therefore, it takes 36 minutes to fill the bathtub using just hot water.
Two distinct roots means two real solutions for x (the parabola needs to cross the x-axis twice)
Vertex form of a quadratic equation: (h,k) is vertex
y = a(x-h)^2 + k
The x of the vertex needs to equal 3
y = a(x-3)^2 + k
In order to have two distinct roots the parabola must be (+a) upward facing with vertex below the x-axis or (-a) downward facing with vertex above the x-axis. Parabolas are symmetrical so for an easy factorable equation make "a" 1 or -1 depending on if you want the upward/downward facing one.
y = (x-3)^2 - 1
Vertex (3,-1) upwards facing with two distinct roots 4 and 2
y = x^2 -6x + 9 - 1
y = x^2 -6x + 8
y = (x - 4)(x - 2)
Answer:
-4.99
1.9435
3.25E4
1.56e-9
Step-by-step explanation:
Answer:
The rational function that is graphed is B
Answer:
8 is your answer
Step-by-step explanation:
First plug in 6
6÷3+6
Then divide 6/3 which is 2
so 2+6 is 8
