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2 years ago

Why math even exist people could just like wing it for everything

Mathematics

2 answers:

s2008m [1.1K]2 years ago

8 0

Answer:

- 7 / 4

Step-by-step explanation:

( x1, y1 ) = ( 1, 10 )

Here,

x1 = 1

y1 = 10

( x2, y2 ) = ( 5, 3 )

Here,

x2 = 5

y2 = 3

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 3 - 10 ) / ( 5 - 1 )

Slope = - 7 / 4

Proper fraction = - 7 / 4

serious [3.7K]2 years ago

7 0

Answer:

m = -7/4

Step-by-step explanation:

Given:

(1, 10) and (5, 3)

Slope (m) formula:

m = (y2 - y1)/(x2 - x1)

Given:

y2 = 3

y1 = 10

x2 = 5

x1 = 1

Work:

m = (y2 - y1)/(x2 - x1)

m = (3 - 10)/(5 - 1)

m = (-7)/(4)

m = -7/4

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A complete graph of the polynomial function f is provided. Use your knowledge of the domain, range, behavior at each x intercept

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The graph represents a polynomial graph, and the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²

<h3>How to determine the equation?</h3>

From the graph, we have the following observations:

The graph has a turning point at x = 2
The graph changes the factor of its direction at x = -5

This means that the graph has a multiplicity of 2 at x = 2 and a multiplicity of 3 at x = -5

So, we have:

f(x) = a(x + 5)³(x - 2)²

The curve is inverted,

This means that a < 0

Assume a = -1.

Then, we have:

f(x) = -(x + 5)³(x - 2)²

Hence, the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²