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2 years ago

Solve this system of equations by graphing. First graph the equations, and then type the solution.

Mathematics

1 answer:

Yakvenalex [24]2 years ago

8 0

Answer:

The answer is below

Step-by-step explanation:

Solve this system of equations by graphing. First graph the equations, and then type the solution. y=2x+2 y=x–2

Solution:

The equation of a straight line is in the form y = mx + b, where m is the slope of the graph and b is the y intercept (value of y when x = 0). To graph the line, online geogebra graphing calculator was used for plotting the two graphs by writing the equation of the graphs.

After plotting the two graphs, the intersection of the two lines should be traced to get the x coordinate and y coordinate of the point. This point is the solution of the two graph equations, hence:

The solution = (-4, -6)

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Tom and Lana were comparing their Halloween candy. Tom received 4 times as much candy as Lana received. Tom then split his candy

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2 years ago

Find the equation of the tangent line. y=(9-x^2)^1/3 at (1,2)

Schach [20]

Get the derivative:

y = (9 - x²)¹ʹ³

dy/dx = 1/3 (9 - x²)⁻²ʹ³ d/dx [9 - x²]

dy/dx = 1/3 (9 - x²)⁻²ʹ³ (-2x)

dy/dx = -2/3 x (9 - x²)⁻²ʹ³

Evaluate it at x = 1 :

dy/dx (1) = -2/3 • 8⁻²ʹ³

Since 8 = 2³, we have

8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4

Then the tangent line has equation

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2 years ago

What is the difference between a slope change and a translation

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Answer:

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