Given:
The system of equations is:
Line A: 
Line B: 
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Equating (i) and (ii), we get
Divide both sides by 2.
Substituting 
in (i), we get
The solution of system of equations is (-4,-8).
Now verify the solution by substituting 
in the given equations.
This statement is true.
Similarly,
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
Answer:
I Believe you are correct
Step-by-step explanation:
Part A:
<span>Max volume = Volume of container = 13 in x 7 in x 6 in = 546 in^3 </span>
<span>Part B: </span>
<span>1 cup = 14.4375 in^3 </span>
<span>
14 cups = 14.4375 in^3 x 7 = 202.125 in^3 </span>
<span>Part C: </span>
<span>Height of water = (202.125 in^3)/(13 in x 7 in) = 2.22 in.</span>
Answer:
335,979 people (in Year 2020)
Step-by-step explanation:
Initial Population (Year 2010) = 250,000
Rate of Growth = 3% = 3/100 = 0.03
We want the population of the town in Year 2020 (at this rate). That is 10 years from now.
The formula for compound growth is:
Where
F is the future value (in year 2020)
P is the present value (250,000)
r is the rate of increase per year (0.03)
t is the time in years (t = 10)
Lets substitute and find the value:
Rounded, that would be:
335,979 people (in Year 2020)
Answer:
The slope of f(x) is equal to the slope of g(x).
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
step 1
Find the slope of the function f(x)
we have the points
(0,-1) and (3,1)
substitute in the formula
step 2
Find the slope of the function g(x)
take two points of the given table
(0,2) and (3,4)
substitute in the formula
step 3
Compare the slopes
therefore
The slope of f(x) is equal to the slope of g(x).
