To solve the equation −x − 3 = x2 − 2x− 15, you could graph of the following system. y = −x − 3 y = x2 − 2x − 15 Use the graph o
f this system to identify all solutions of −x − 3 = x2 − 2x − 15.
2 answers:
Answer:
The solution of the equation graphically are (-3,0) and (4,-7).
Step-by-step explanation:
Given : Equation
To find : Solve the equation using graph?
Solution :
Let be the equation (1)
be the equation (2)
If we plot the equation (1) and (2) in the graph then the intersection point gives you the solution of the equation.
Equation (1) is shown in blue line.
Equation (2) is shown in red line.
The intersection points of both the equation are (-3,0) and (4,-7).
Therefore, The solution of the equation graphically are (-3,0) and (4,-7).
Refer the attached figure below.
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Answer:
Canada was 418.912 sq miles smaller than the USSR.
Step-by-step explanation:
Note: I don't know if this question required a calculator so I'll answer without one.
Symbols:
- USSR area in sq miles = u
- Canada area in square miles = c
u<em> </em>= 8.649×106
c<em> </em>= 4.797×106
x = how much less area
u<em> </em>= c + x
- USSR area = Canada area + number of sq miles less
Math:
u = c + x
- plug in values
8.649×106 = 4.797×106 + x
- divide by 106 to get rid of the ridiculously large numbers.
8.649 = 4.797 +
- subtract (use calculator or just traditional subtraction methods)
3.952 =
- multiply both sides by 106 (use calculator or traditional methods)
418.912 = x
Given:
The system of equations that represent the constraints for the given situation is
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Multiply equation (i) by 4.
...(iii)
Subtracting (iii) from (ii), we get
Divide both sides by 12.90.
Put this value in (i).
The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.