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2 years ago

Determine the zeros and state the multiplicity of any repeated zeros for f(x)=3x(x+2)^2(2x-1)^3

Mathematics

1 answer:

Viefleur [7K]2 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

To determine the zeros of f(x) equate f(x) = 0, that is

3x(x + 2)²(2x - 1)³ = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0 with multiplicity 1

(x + 2)² = 0 ⇒ x = - 2 with multiplicity 2

(2x - 1)³ = 0 ⇒ x = $\frac{1}{2}$ with multiplicity 3

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Find ten rational numbers between -1 by 5 and 1 by 2

uysha [10]

Answer:

Step-by-step explanation:

First both the rational numbers should have same denominators. So, find least common denominator

Least common denominator is 10

$\frac{-1}{5}=\frac{-1*2}{5*2}=\frac{-2}{10}\\\\\\\frac{1}{2}=\frac{1*5}{2*5}=\frac{5}{10}\\\\\\$

Now multiply the numerator and denominators of the both the numbers by 10.

$\frac{-2*10}{10*10}= \frac{-20}{100} \ and \ \frac{5*10}{10*10}=\frac{50}{100}\\\\\\Now\ 10 \ rational \ numbers \ between\frac{-20}{10} \ and \ \frac{50}{100} \ is \\\\\\\frac{-19}{100},\frac{-18}{100},\frac{-17}{100},\frac{-16}{100}.\frac{-15}{100},\frac{-14}{100},\frac{-13}{100},\frac{-12}{100},\frac{-11}{100};\frac{-10}{100}$

8 0

2 years ago

What is the volume of a hemisphere with a radius of 8.8 cm, rounded to the nearest

gizmo_the_mogwai [7]

Answer:

1427.3

Step-by-step explanation

just did it, got it right, don't listen to the mf above me.

4 0

2 years ago

The surface area of this rectangular prism is 34 square centimeters. What is the volume is the width is 1 cm, the length is 2 cm

Bezzdna [24]

Answer: $10\ cm^3$

Step-by-step explanation:

Given

The surface area of a rectangular prism is $34\ cm^2$

Width of prism $w=1\ cm$

Length of prism $l=2\ cm$

height of prism $h=x\ cm$

Surface area is given by

$S.A.=2[lw+wh+hl]$

Put values

$34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm$

Now, the volume of Prism is given by

$V=l\times w\times h$

$\Rightarrow V=2\times1\times 5=10\ cm^3$

8 0

2 years ago

What is the equation of the line in slope-intercept form?

stepladder [879]

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6 0

2 years ago

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F(x) = 4x + 3 for f(-8).

yarga [219]

Answer:

-29

Step-by-step explanation:

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2 years ago

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