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2 years ago

Will give brainliest

Mathematics

1 answer:

Stells [14]2 years ago

6 0

The possible rational roots of the given equation are 1 and -3

<h3>Solving polynomial equations </h3>

From the question, we are to determine all the possible rational roots of the given equation

The given equation is

x⁴ -2x³ -6x² +22x -15 = 0

To determine the rational roots, we will test for values that make the equation equal to zero

Test for -1

(-1)⁴ -2(-1)³ -6(-1)² +22(-1) -15

1 + 2 - 6 - 22 -15

= -40

∴ -1 is not a root of the equation

Test for 1

(1)⁴ -2(1)³ -6(1)² +22(1) -15

1 - 2 - 6 + 22 -15

= 0

∴ 1 is one of the roots of the equation

Test for -2

(-2)⁴ -2(-2)³ -6(-2)² +22(-2) -15

16 + 16 - 24 - 44 -15

= -51

∴ -2 is not a root of the equation

Test for 2

(2)⁴ -2(2)³ -6(2)² +22(2) -15

16 - 16 - 24 + 44 -15

= 5

∴ 2 is not a root of the equation

Test for -3

(-3)⁴ -2(-3)³ -6(-3)² +22(-3) -15

81 + 54 - 54 -66 -15

= 0

∴ -3 is one of the roots of the equation

Test for 3

(3)⁴ -2(3)³ -6(3)² +22(3) -15

81 - 54 - 54 + 66 -15

= 24

∴ 3 is not a root of the equation

The other roots of the equation are irrational roots.

Hence, the possible rational roots of the given equation are 1 and -3

Learn more on Solving polynomial equations here: brainly.com/question/11824130

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vekshin1

We know that
scale factor=1/4
so
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volume original pyramid=192 unit³
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the answer is

3 units³

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3 years ago

Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server p

nata0808 [166]

Answer:

The probability of the tip to be more than 200 is 0.1.

Step-by-step explanation:

As per the given data

Amount of tip Number

0-20 200

20-50 100

50-100 75

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____________________

Total= 500

So what is the probability of tip to be more than 200 is given as

$P(200+)=\frac{no. \, of\,occurrence}{Total\, Number}$

From the table the value is 50 for the tip to be more than 200 where as the total occurrences are 500 so substituting values:

$P(200+)=\frac{no. \, of\,occurrence}{Total\, Number}\\P(200+)=\frac{50}{500}\\P(200+)=0.1$

So the probability of the tip to be more than 200 is 0.1.

5 0

3 years ago

PLEASE HELP I WILL GOVE BRAINLIEST

vaieri [72.5K]

Y - 3 = -2(x+5)
y - 3 = -2x - 10
+3. +3
y = -2x - 7

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3 years ago

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lina2011 [118]

Answer:

20.5+10x

Step-by-step explanation:

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3 years ago

Given the function defined in the table below, find the average rate of change, insimplest form, of the function over the interv

Reil [10]

To find the average rate of change in a interval

$a\leq x\leq b$

We use the following formula:

$\frac{f(b)-f(a)}{b-a}$

Applying this to our interval

$6\leq x\leq15$

We have the following rate of change:

$\frac{f(15)-f(6)}{15-6}=\frac{107-53}{9}=\frac{54}{9}=6$

We have an average rate of change equals to 6.

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1 year ago