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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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nadezda [96]
1)
Julia = Sj = 30,500 + 500n
Aysha = Sa = 26,000 + 1000n

when will
Sj = Sa
30,500 + 500n = 26,000 + 1000n
30,500 - 26,000 = 1000n - 500n
4,500 = 1000n - 500n
4,500 = 500n
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so they will have same salary after 9 years

2) X + Y = 8000
5%X + 3.25%Y = 312.5

X = 8000 - Y
0.05 ( 8000 - Y ) + 0.0325Y = 312.5
400 - 0.05Y + 0.0325Y = 312.5
400 - 0.0275Y = 312.5
400 - 312.5 = 0.0275Y
87.5 = 0.0275Y
Y = 3,181.81
X = 8000 - Y = 8000 - 3,181.81 = 4,818.19

3) X + Y = 3050
8%X + 7.5%Y = 234

X = 3050 - Y
0.08(3050 - Y) + 0.075Y = 234
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Y = 400
X = 3050 - Y = 3050 - 400 = 2650



7 0
3 years ago
Jina is chosing a 2-letter password from the letters A,B,C, and D. The password cannot have the same letter repeated in it. How
Fudgin [204]
The amount of passwords that Jina can make is only 12. Since the question says we are not allowed to use same letter twice that impacts the amount of passwords. In order to find the amount of passwords there is, we use the highest amount of letter choices, which is 4. Then the next letter can only have 3 letters. We can find out how many total passwords by doing 4*3 to get 12 different passwords.
8 0
4 years ago
What is the answer to the following question?
lisov135 [29]

Answer:

  SAS similarity

Step-by-step explanation:

You have two side ratios and the angle between the sides with those ratios. The appropriate similarity theorem is SAS.

8 0
3 years ago
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SOVA2 [1]

Answer:

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Step-by-step explanation:

Do 12 million divided by six and you get 2 million. Then do 2 million times 5 and you get 10 million and this works because 10 million is five times more than 2 million and they add up to get 12 million.

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4 0
3 years ago
Can someone help me with this question?
nevsk [136]

Step-by-step explanation:

1. Vertical

2. Alternate

3. congruent

4. AAS or SAA

7 0
4 years ago
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