Answer:
The answer to your question is because it is a solution of each equation.
Step-by-step explanation:
Data
Point (3,4)
Equation l y = 1/3x + 3
Equation ll y = 2x - 2
Process
1.- To test is a point is solution to a system of equations,
-Substitute the point in both equations
Equation l 4 = 1/3(3) + 3
4 = 1 + 3
4 = 4 The point is a solution because
4 = 4
Equation ll 4 = 2(3) - 2
4 = 6 - 2
4 = 4 This point is a solution for the second
equation but not for the first one.
2.- Conclusion
As the point is a solution of each equation, it is a solution of the system.
Answer:
x = 2 ± 2 sqrt(5)i
Step-by-step explanation:
(x – 2)^2 + 20 = 0
Subtract 20 from each side
(x – 2)^2 + 20 -20=0 -20
(x – 2)^2 =- 20
Take the square root of each side
sqrt((x – 2)^2) =±sqrt(- 20)
x-2 = ±sqrt(- 20)
We know sqrt(ab) = sqrt(a) sqrt(b)
x-2 = ±sqrt(- 1) sqrt(20)
We know the sqrt (-1) = i
x-2 = ±i sqrt(4*5)
x-2 = ±i sqrt(4) sqrt(5)
Add 2 to each side
x-2+2 = 2 ±i sqrt(4) sqrt(5)
x = 2 ±i 2 sqrt(5)
x = 2 ± 2 sqrt(5)i
Answer:
a = 24*1/3
a =8
Step-by-step explanation:
We are using proportions to solve this problem by putting students over adults
students 3 24
--------------- = --------------- = -------------
adults 1 a
where a is the unknown number of adults
Using cross products
3a=24*1
Divide by 3
a = 24*1/3
a = 24/3
a = 8
The table and the graph is shown in the following picture
Answer:
$0.4933
Step-by-step explanation:
i guess
Just divided by 3 ;)
