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Iteru [2.4K]
3 years ago
7

If f(x)=3x−2 and g(x)=x2−5, what is g(f(2))?

Mathematics
1 answer:
Vikki [24]3 years ago
8 0

Answer:

g(f(2)) = 11

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>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x - 2

g(x) = x² - 5

<u>Step 2: Find g(f(2))</u>

f(2)

  1. Substitute in <em>x</em>:                    f(2) = 3(2) - 2
  2. Multiply:                               f(2) = 6 - 2
  3. Subtract:                              f(2) = 4

g(f(2))

  1. Substitute in <em>x</em>:                    g(4) = 4² - 5
  2. Exponents:                          g(4) = 16 - 5
  3. Subtract:                              g(4) = 11
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The median of the data set will be 15.5. The data set is in between the 1 to 25.

<h3>What is median?</h3>

Median is such a number for the arranged data set in ascending or descending order, such that to its left and to its right belong the same number of observations.

The data set between the number is;

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

The value of IQR for data set is;

First Quartile Q1 = 6.5

Second Quartile Q2 = 13

Third Quartile Q3 =19.5

The median of the data set is;

\rm Median= \frac{15+16}{2}  \\\\ Median= 15.5

Hence, the median of the data set will be 15.5.

To learn more about median refer:

brainly.com/question/21396105

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The sum of two numbers is 15.
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

m∠1 = 110° since vertical angles

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Answer:

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Step-by-step explanation:

Volume of the cone=40 cubic inches

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<u>Step 1:</u> Applying the formula for the volume of a cone

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<u>Step 2:</u> Substituting values for the variables

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<u>Step 3:</u> Simplifying the right side

40=\frac{8}{3} X $Base Area

<u>Step 4:</u> Multiplying by the reciprocal

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