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mart [117]
3 years ago
11

Given the 2 points (3,1) and (4,6) what is the slope of the line?

Mathematics
1 answer:
zmey [24]3 years ago
7 0
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 3 &,& 1~) 
%  (c,d)
&&(~ 4 &,& 6~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-1}{4-3}\implies \cfrac{5}{1}\implies 5
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Answer:

(f o h)(x) = -10x + 32

General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

(f o h)(x) is f(h(x))

<u>Step 2: Find Composite Function</u>

  1. Substitute:                         (f o h)(x) = 2(∛(12 - 5x))³ + 8
  2. Evaluate:                            (f o h)(x) = 2(12 - 5x) + 8
  3. Distribute 2:                       (f o h)(x) = 24 - 10x + 8
  4. Combine like terms:         (f o h)(x) = -10x + 32

And we have our final answer!

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Feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second.
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The equation that  shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let x represent the time in seconds for the bird feather to reach 10 feet.

Hence:

y = -2x + 10

The equation that  shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10

Find out more on equation at: brainly.com/question/2972832

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