When shrinking an image, the size of each side is shrunk by the scale factor. However the area is not shrunk by the same factor. Area is a squared measurement (when finding the area of a rectangle we take length x width; two measurements, so a squared answer), so the area will be shrunk by the scale factor squared; in this case the area is shrunk by 3² or 9. This means the new area would be 720/9 or 80 square inches.
Which of the sets of ordered pairs represents a function? A={(-4, 5), (1, -1), (2, -2), (2, 3)} B = {(2, 2), (3, -2). (9. 3). (9
EastWind [94]
Answer: Neither A or B
Step-by-step explanation: In order for a relation to be a function, a relation can not have the x-values repeat. Y-values can repeat an infinite amount of times but x-values can only repeat 1 time in a given relation. In relation A, you have (2,-2), and (2,3) and relation B, you have (9,3), and (9,-3). You can also graph both of these relations and do a vertical line test with your pencil and see that it would cross more than once.
Hope this helps.
Answer:
90 blue ribbons
Step-by-step explanation:
Answer:
The answer would be 6.
Step-by-step explanation:
Divide 6 by 2=3
5-3=2
2+4=6
Answer:
f'(1) = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
The definition of a derivative is the slope of the tangent line.
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x²
Point (1, f(1))
<u>Step 2: Differentiate</u>
- Basic Power Rule: f'(x) = 2 · x²⁻¹
- Simplify: f'(x) = 2x
<u>Step 3: Find Slope</u>
<em>Use the point (1, f(1)) to find the instantaneous slope</em>
- Substitute in <em>x</em>: f'(1) = 2(1)
- Multiply: f'(1) = 2
This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)
