The solution to the system of equation are (0, -2) and (1, 0)
<h3>Solution to system of equations</h3>
System of equations are equations that has unknown and more than 1 equations.
Given the system of equations
y = x^2 + x – 2
y = 2x – 2
Equate both expressions
x^2 + x -2 = 2x - 2
x^2 - x = 0
x(x-1) = 0
x = 0 and x - 1 = 0
x = 0 and 1
If x = 0
y = 0 - 2 = -2
If x = 1
y = 2 - 2 = 0
Hence the solution to the system of equation are (0, -2) and (1, 0)
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The nth term is 2n +1 and the 43rd term is 87
This is the formula you use:
Distance = √((X₂ - X₁)² + (Y₂ - Y₁)²)
Then plug in your two coordinates there.
√((- 3 - 2)² + (- 5 - (- 2))²)
Simplify
√((- 5)² + ( - 3)²)
√(25 + 9)
√34
√34 units is the distance.
Answer:
<em>For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it </em>
Step-by-step explanation:
Given that the Hotel is empty and every passenger stands for each positive integer and each number of room represents positive numbers as well
Hilbert can assign people to rooms by using a plot of first come first serve
i.e.<em> For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it </em>
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Answer:
Step-by-step explanation:
Inequality given for Sara,
-4(2x + 4) > 8x + 64
-8x - 16 > 8x + 64
-8x - 8x > 16 + 64
-16x > 80
-x > 5
x < -5
x = -12 will be the answer.
Option (3)
Inequality for Alezandro,
7x + 20 ≥ 2(x - 15)
7x + 20 ≥ 2x - 30
7x - 2x ≥ -30 - 20
5x ≥ -50
x ≥ -10
Therefore, x = 2 is the answer.
Option (2)
For Daria,
3(x - 17) < 9(1 - 3x)
3x - 51 < 9 - 27x
3x + 27x < 51 + 9
30x < 60
x < 2
x = -6 will be the answer.
Option (1)
For Jamal,
5(x + 11) > -4(-x - 12)
5x + 55 > 4x + 48
5x - 4x > 48 - 55
x > -7
x = 10 will be the answer.
Option (4)