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Anna11 [10]
3 years ago
13

|-4/5-1/10| + |-3/4+5/2|A.) 9/10B.) 53/20C.) 7/4D.) 17/10​

Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0

Answer:

B.) 53/20

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • |Absolute Value| makes any negative number positive

Step-by-step explanation:

<u>Step 1: Define</u>

|-4/5 - 1/10| + |-3/4 + 5/2|

<u>Step 2: Evaluate</u>

  1. Subtract:                    |-9/10| + |-3/4 + 5/2|
  2. Add:                           |-9/10| + |7/4|
  3. Absolute Value:        9/10 + 7/4
  4. Add:                           53/20
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Given f(x) =17 -x2 what is the average rate of change in f(x) over the interval [1,5]
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By definition <span>the average rate of change is given by:
 </span>AVR =  \frac{f(x2) - f(x1)}{x2-x1}
 <span>We have the following function:
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 We evaluate the function for the given interval:
 For X = 1:
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 f(1) =17 - 1
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 For X = 5:
 f(5) =17 - 5^2
 f(5) =17 - 25
 f(5) =-8
 Then, replacing values we have:
 AVR = \frac{-8 - 16}{5-1}
 AVR = \frac{-24}{4}
 AVR = -6
 Answer:
 <span>the average rate of change in f(x) over the interval [1,5] is:
 </span>AVR = -6


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