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2 years ago

Polynomial of lowest degree with zeros of 3/4 (multiplicity 2) and 1/3 (multiplicity 1) and with f(0) = -81

Mathematics

1 answer:

Natali [406]2 years ago

7 0

The polynomial is given by f(x) = 9(4x − 3)² (3x - 1) .

<h3>What is a Polynomial ?</h3>

A polynomial is an expression that consists of indeterminate , Coefficients , exponents and mathematical operations.

It is given that

The zero of the function is at 3/4 with multiplicity of 2 = (x - 3/4)²

The zero of the function is at 1/3 with multiplicity of 1 = (x - 1/3)

The polynomial can be written as

f(x) = a (4x − 3)² (3x - 1)

-81 = a (0 − 3)² (0 -1)

a = 9

f(x) = 9(4x − 3)² (3x - 1)

Therefore the polynomial is given by f(x) = 9(4x − 3)² (3x - 1) .

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PLZZZZ help as soon as possible

sammy [17]

Answer:

JK = 11

Step-by-step explanation:

JK ≅ JM

where

JK = 3x - 16

JM = 2x - 7

3x - 16 = 2x - 7

group like terms

3x - 2x = 16 - 7

x = 9

<u>plugin x=9 into JK</u>

JK = 3x - 16

JK = 3(9) - 16

JK = 11

6 0

3 years ago

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An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the mi

amid [387]

The minimum distance between the asteroid and the sun is 10 - 6 =4

The given hyperbolic path defined as
divide both the sides by 576,

The general equation of

hyperbola is written as
;

Compare with above mention equation
Here

The distance between the asteroid and the sun is seen by figure -1
or
⇒c =10

The minimum distance between the asteroid and the sun is 10 -6 =4

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3 years ago

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Likurg_2 [28]

1 white shirt
1 black shirt
1 blue shirt
1 blue pant
1 tan pant
There are 5 total articles of clothing and 2 that he could end up wearing (white shirt & tan pants)
so the probability equals 2/5

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2 years ago

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Rom4ik [11]

$f(x)= \frac{x}{2} -2$ and $g(x)=2 x^{2} +x-3$
(f+g)(x) = $\frac{x}{2} -2+2 x^{2} +x-3$
combining like terms gives you answer choice B

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3 years ago

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Allushta [10]

The average rate of change of credit card is $ 401.79 /year.

<h3>What is Average Rate?</h3>

A single rate that is a weighted average of the different rates that are applicable to property in various locations.
An average is a single number calculated as the average of a set of numbers, typically calculated as the sum of the numbers divided by the total number of numbers in the set (the arithmetic mean).

<u>Solution</u>

The difference of credit card debt between the year 2006 and 1992 = 8900 - 3275 = $5625

The difference of years between the year 2006 and 1992 = 2006 - 1992 = 14

average rate of change of credit card debt with respect to time = $\frac{difference of credit card debt}{difference of years}$

average rate = $\frac{5625}{14}$ = $ 401.79 / year

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2 years ago