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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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Answer:

The probability that they sit next to each other is 50%.

Step-by-step explanation:

Consider the provided information.

It is given that there are four seats within the row are first come, first served during boarding.

There are 4 seats and 2 customers (Karen and Georgia)

The total number of ways in which Karen and Georgia can sit is: ^4C_2

Now if they will sit together, then consider  Karen and Georgia as a single unit.

Thus, the number of ways in which they can sit together is: ^3C_1

The required probability is:

P=\frac{^3C_1}{^4C_2} \\\\P=\frac{3}{6}\\\\P=\frac{1}{2}

Hence, the probability that they sit next to each other is 50%.

6 0
3 years ago
3/8 of the seventh grade students were taking advanced math at the beginning of the year, but seven dropped out by the end of th
lara [203]

Answer:

416 I believe.

Step-by-step explanation:

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4 years ago
Please help me with my work
Alexxandr [17]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
What is the measure of x, given that figure ABCD is a rhombus.
dsp73
The answer would be d 
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F(v)=6+v^2 how do I solve
Nostrana [21]

Step-by-step explanation:

Well, this is a function. In order to solve this, you need a v value. Once you get a v value, you can plug into into 6+v^2 and wala- you get your answer.

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Hope this helped

6 0
3 years ago
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