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mr Goodwill [35]
3 years ago
5

Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=|2x−1|+3.

Mathematics
1 answer:
Oliga [24]3 years ago
7 0

Answer:

The y value of a point where a vertical line intersects a graph represents an output for that input x value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.

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Find a third-degree polynomial equation with rational coefficients that has roots -4 and 6 + i.
dolphi86 [110]

Answer:

x³ - 8x² - 11x + 148

Step-by-step explanation:

Given that x = 6 + i is a root then x = 6 - i is also a root

Complex roots occur as conjugate pairs.

The factors are therefore (x - (6 + i)) and(x - (6 - i))

Given x = - 4 is a root then (x + 4) is a factor

The polynomial is the product of the factors, that is

p(x) = (x + 4)(x - (6 + i))(x - (6 - i))

      = (x + 4)(x - 6 - i)(x - 6 + i)

      = (x + 4)((x - 6)² - i²)

      = (x + 4)(x² - 12x + 36 + 1)

      = (x + 4)(x² - 12x + 37) ← distribute

      = x³ + 4x² - 12x² - 48x + 37x + 148

      = x³ - 8x² - 11x + 148

 

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3 years ago
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Answer:

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5 0
3 years ago
Can someone please help me
Mars2501 [29]
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Caleb bought some new coats. They are normally priced at $20.00 however they are now 31% off. How much did Caleb pay for the coa
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20 * (31/100) = 21*0.31=6.51
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