Answer:
y=0, x=1
Step-by-step explanation:
6x-3y= -6 ...... equation 1
y =2x+2 ..... equation 2
subtract 2x from both sides
y-2x=2x-2x+2
y-2x=2
6x-3y= -6
y-2x=2
Rearrange
6x-3y= -6 ........x1
-2x +y=2............x3
6x-3y= -6
-6x +3y=2
0y=0
y=0
substitute y=0 in equation 1
6x-3xo= -6
6x= -6
x-6/6
x = -1
Answer:
Step-by-step explanation:
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Answer:
z^1+3z+2
Step-by-step explanation:
(z+1)(z+1)
Multiply each term in the first parenthesis by each term in the second parenthesis
Z x z+2z+z+2
Calculate the product
<u>z</u>^2 +2z+z+2
collect like terms
z^2+3z+2
2z+z
If a term doesnt have a coefficient it is considered that the coefficient is 1
2z+1z
(2+1)z
(2+1)z
3z
z^2+3z+2
<h2>
Explanation:</h2>
Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll assume the graphed function comes from:

So this is the equation of a parabola that opens upward and whose vertex lies on the point:

The graph of this function is shown below. Which is true regarding the graphed function f(x)?
- It is true that the domain is the set of all real numbers because this is a polynomial function.
- It is true that the range is the set of all real numbers such that y ≥ 5
- It is true that this parabola opens upward
- It is true that it doesn't cut the x-axis
Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let
be the depth of water in the barrel at time
, where
is measured in inches and
in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

where
is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by

Multiply by 

Take integral

Integrate

Isolate 

We know that the water level starts at 36, this means
. We use this information to find the value of
.


At t = 1, y = 34

So our formula for the depth of water in the barrel is

To find the time,
, at which all the water leaks out of the barrel, we solve the equation

Thus, it will take about 35.49 hours for the water to leak out of the barrel.