Graph the system of equations. {2x - y =4 {x - y = -2
1 answer:
Answer:
See attachment
Step-by-step explanation:
The given system is
2x-y=4
x-y=-2
We write the system in slope-intercept form:
y=2x-4
y=x+2
The first equation has slope of 2 and y-intercept at (0,-4)
When y=0, x=2.
We plot (0,-4) and (2,0) to graph this first equation.
The second equation has a slope of 1 and a y-intercept at (0,2)
Also when y=0, x=-2.
We plot (0,2) and (-2,0) and draw a straight line through them.
The graph of the system is shown in the attachment.
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Answer:
f'(-2.4) ≈ -14
General Formulas and Concepts:
<u>Algebra I</u>
Coordinate Planes
- Coordinates (x, y)
Slope Formula:
Functions
- Function Notation
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Step-by-step explanation:
*Note:
The definition of a derivative is the slope of the <em>tangent</em> <em>line</em>.
<u>Step 1: Define</u>
<em>Identify.</em>
f(-2.4) = -1
f(-1.9) = -8
<u>Step 2: Differentiate</u>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.
- [Derivative] Set up [Slope Formula]:
- Substitute in coordinates:
- Evaluate:
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Learn more about derivatives: brainly.com/question/17830594
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation