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sashaice [31]
3 years ago
14

G(n) = 4n h(n) = n2 + 3n Find g(h(n))

Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer:

g(h(n)) = 4n² + 12n

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> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients
  • Function Notation

<u>Algebra II</u>

  • Composite Functions

Step-by-step explanation:

<u>Step 1: Define</u>

g(n) = 4n

h(n) = n² + 3n

g(h(n)) is n = h(n)

<u>Step 2: Find</u>

  1. Substitute in function h(n) as <em>n</em>:                                                                       g(h(n)) = 4(n²+ 3n)
  2. [Distributive Property] Distribute 4:                                                               g(h(n)) = 4n² + 12n
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3 years ago
Rotate the vector &lt;-3,5&gt; 270 degrees counter clockwise about the origin
postnew [5]

Answer:

< 5, 3 >

Step-by-step explanation:

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3 years ago
(2x+3)²=125 find x<br>with full solution please​
Schach [20]

Answer:

<em>x = ± ( 5√5 - 3 ) / 2</em>

Step-by-step explanation:

We are given the equation ( 2x + 3 )² = 125;

( 2x + 3 )^{ 2 }  = 125 - Take Square Root on Either Side,\\| 2x + 3 | = \sqrt{ 125 } - Simplify Square Root of 125,\\\\| 2x + 3 | = \sqrt{ 5 * 25 } - Simplify Further,\\| 2x + 3 | = 5\sqrt{ 5 } - Take | |,\\\\2x + 3 = 5\sqrt{ 5 } , and , 2x + 5 = - 5\sqrt{ 5 } - Algebra, \\2x = 5\sqrt{ 5 } - 3 , and , 2x = - 5\sqrt{ 5 } - 3 - Divide Either Side by 2\\\\x = ( 5\sqrt{ 5 } - 3 ) / 2, and , x = ( - 5\sqrt{ 5 } - 3 ) / 2\\Conclusion ; x = ( + / - 5\sqrt{ 5 } - 3 ) / 2

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7 0
3 years ago
Work out m and c for the line:<br><br> y = 2 − 3 x
spin [16.1K]

Answer:

m = -3

c = 2

Step-by-step explanation:

This equation is given in slope-intercept form. The general structure of these equations is:

y = mx + c

In this form, "m" represents the slope and "c" represents the y-intercept. As you have been given the entire equation, the only thing you have to do is rearrange the equation to find which values correspond with the variables.

y = 2 - 3x  -----> y = -3x + 2

Therefore,

m = -3

c = 2

8 0
2 years ago
Read 2 more answers
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