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shtirl [24]
3 years ago
12

Find the inverse of each function. h ( n ) = 4/n − 2

Mathematics
2 answers:
Darina [25.2K]3 years ago
7 0

4(x + 2) = {h(n)}^{- 1}
sladkih [1.3K]3 years ago
6 0

Answer: 4/(n+2)

h(n)=4/n-2

Let y=h(n),then,

→y=4/n-2

→4/n=y+2

→n=4/(y+2)

Interchanging the role of y and n here to find inverse,

y=4/(n+2)  →inverse function

i.e. , inverse of h(n)=4/(n+2)

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Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-interc
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Now, bear in mind that, when the y-axis gets intercepted, x = 0, therefore 0,3 is really the y-intercept.

and when the x-axis gets intercepted, y = 0, therefore 4,0 is the x-intercept, thus we will use this one in the point-slope form then.

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 0}}\quad ,&{{ 3}})\quad 
%   (c,d)
&({{ 4}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-3}{4-0}\implies -\cfrac{3}{4}
\\\\\\
% point-slope intercept
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What is the rate of Change of the line through (1,-3) and (0,-1)
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Answer:

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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>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (1, -3)

Point (0, -1)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute in points into the slope formula to find rate of change

  1. Substitute [SF]:                    m=\frac{-1+3}{0-1}
  2. Add/Subtract:                      m=\frac{2}{-1}
  3. Divide:                                 m=-2
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3 years ago
Carol spends 17 hours in a 2-week period practicing her culinary skills. How many hours does she practice in 5 weeks?
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17*2= 44 hours for 4 weeks
17/2= 8.5 for 1 week (half of 2 week period)
44+8.5= 52.5
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