Given the function, where a, b, and c are positive numbers:
f(x) = (x - a)(x - b)2(x2 + c)
How many real roots does f(x) have, including multiple roots? |
How many imaginary roots does f(x) have?

Answers

Answer 1

Answer:

2 real roots and 1 imaginary roots

Step-by-step explanation:

f(x) = [tex](x-a)(x-b)^{2} (x^{2}+c)[/tex]

There are only 2 real roots and one imaginary roots.

Separate the equation into sections because the function is a multiplication with no outside sum or substraction:

Real Roots:

[tex](x-a)[/tex] = 0 when x = a

[tex](x-b)^{2}[/tex] = 0 when x = b

Imaginary roots:

[tex](x^{2}-c)[/tex] = 0 when x = [tex]\sqrt{-c}[/tex]


Related Questions

I will give

0.45×104

Answers

Answer:

46.8

Step-by-step explanation:

0.45*104=46.8

The answer is 46.8 !!!!!

4) Find the area.
7 points
7 in
18 in
10 in
18 in
236
180
125
56

Answers

Answer: its 236

Step-by-step explan

como puedo borrar mi cuenta de brainly desde mi cel porfa desde mi celular ​ alguien que sepa porfaaaaaaa

Answers

Answer:

ve a yo busca ajustes y cierra

Step-by-step explanation:

ve a yo busca ajustes y vusca cerrar secion

what is 921-588? im in fifth grade but its too hard for me

Answers

Answer:

333 use a calculator LOL

The director of sales at the Shonda car company wants to examine the
relationship between the amount of money the company spends on marketing
and the number of cars sold. The scatter plot below shows this relationship. Which of the following equations most likely represents the line of best fit for the data shown in the scatter plot?

Answers

Answer:

Step-by-step explanation:

the answer is the 3rd one hope this helps:)

Jake bought some blueberries for $6 per pound and some strawberries for $4 per pound. He spent a total of $36. Which graph represents all the possible combinations of blueberries (b) and strawberries (s) that Jake could have bought?

Answers

The equation for the all-out number of blueberries and strawberries.

6x + 4y = 36

An equation is a mathematical explanation that is comprised of two expressions associated with an equal sign.

2x + 3 = 9 is an equation.

We have,

Cost of one pound of blueberries = is $6

Number of pounds of blueberries = x

Cost of one pound of strawberries = is $4

Number of pounds of strawberries = y

The equation for the all-out number of blueberries and strawberries.

6x + 4y = 36

In its most straightforward structure in algebra, the meaning of an equation is a numerical explanation that shows that two numerical expressions are equivalent. For example, 3x + 5 = 14 is an equation, where 3x + 5 and 14 are two expressions isolated by an 'equivalent' sign.

to know more about equations click here:

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A number is 12 more than the other. Find the numbers if their sum is 48​

Answers

Answer:

let one number be x and the other be x + 12

sum = 48

x + x + 12 = 48

2x + 12 = 48

2x = 48 - 12

2x = 36

x = 36 by 2

x = 18

therefore x = 18 and x+12= 18+12=30

so the answer is 18 and 30

Have a good day! ^^

Step-by-step explanation:

A rectangular water tank can hold 142.5 cubic meters of water its base is 9.5 meters by 5 meters what is the height ​

Answers

Answer:

543

Step-by-step explanation:

553 - 10

= 543

∈⊕║∦↔㏒π∡∡⇅Δπω

If a  rectangular water tank can hold 142.5 cubic meters of water its base is 9.5 meters by 5 meters  then the height is 3 meters.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that a rectangular water tank can hold 142.5 cubic meters of water

base is 9.5 meters by 5 meters

We have to find the height of the water tank.

Volume = length × width ×height

142.5 = 9.5×5×height

142.5=47.5 height

Divide both sides by 47.5

142.5/47.5 = height

3 = height

Hence, if a  rectangular water tank can hold 142.5 cubic meters of water its base is 9.5 meters by 5 meters  then the height is 3 meters.

To learn more on Three dimensional figure click:

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What is coordinate L?

Answers

Answer:

(5,2)

Step-by-step explanation:

The x is 5, and y is 2.

Answer:

L: (5,2)

Step-by-step explanation:

Find f(-2), if f(x) = 2x^2 - 8x + 3.

Answers

Answer:

f(-2)=27

Step-by-step explanation:

Plug in -2 into x

f(-2)=2(-2)^2-8(-2)+3

f(-2)=8+16+3

f(-2)=27

3x-5=1;9x-3=15;verifica para:x=2​

Answers

Answer:

1=1

15=15

Step-by-step explanation:

3x-5=1                     x=2

9x-3=15

3(2)-5=1

9(2)-3=15

6-5=1

18-3=15

1=1

15=15

mehjgsgwqididhdgascccknska

Answers

Answer:

Yo, thx for the free points man

Step-by-step explanation:

Line segment BD divides trapezoid ABCE into a rectangle and a right
triangle as shown. What is the perimeter of the trapezoid?

Answers

Answer:  96 units

===========================================================

Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

a^2 + b^2 = c^2

(BD)^2 + (CD)^2 = (BC)^2

24^2 + x^2 = 25^2

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

Note that we didn't add in side BD as part of the perimeter because it is not an exterior side. Think of sides AB, BC, CE, and AE as outer walls of the house while BD is an interior wall. The perimeter is only worried about the outer walls.

96

Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

how many ml in 0.006​

Answers

Answer:

6ml

Step-by-step explanation:

Answer:

if 0.006 l= 6ml

Step-by-step explanation:

[Help Asap, Will Mark Brainliest] Question is in the image.

Answers

Answer:

y = 30

z = 115

Step-by-step explanation:

z° + 65° = 180°

(Exterior Angles on the same side of transversal)

z° = 180° - 65°

z° = 115°

z = 115

(5y - 85)° + z° = 180°

(Linear pair angles)

(5y - 85)° + 115° = 180°

(5y - 85)° = 180° - 115°

(5y - 85)° = 65°

5y - 85 = 65

5y = 65 + 85

5y = 150

y = 150/5

y = 30

What is the distance from Point A to Point B?
A(-4,2)
B(6,-3)

Answers

Answer:

The distance is (10,5). Hope I helped! Have a great day :)

Step-by-step explanation:

can someone do these? i'll give brainleist to whoever does them all​

Answers

You have to multiply 6x6x6= 218

The blue dot is at what value on the number line?
The blue dot is at what value on the number line? PLEASE HELP!

Answers

Answer:

-3

Step-by-step explanation:

Answer:

I think it is 0

Step-by-step explanation:

the 9 goes down by 3 so maybe each point goes down 3

Plz need help fast will mark the brainiest

Answers

Answer:

0.0081

Step-by-step explanation:

yes bye that's the answer

Answer:

0.0081

Step-by-step explanation:

mark as BRAINLIST I

I can use problem-solving strategies to add and subtract fractions with unlike denominators.

A.
strongly agree

B.
agree

C.
disagree

D.
strongly disagree

Answers

Hey there!

If you do this, I would suggest saying "strongly agree"

This means that you can solve them using strategies that make it easier.

Have a super awesome day! :)

How would you make $17.84. (Use the least amount of bills and coins.) *

Answers

Answer:

1 ten

1 five

2 ones

3 quarters

1 nickel

4 pennies

Step-by-step explanation:

Hope I helped! <3 :)

The difference of a number and - 11/12 is the same as the difference of three times the number and 1/6

Answers

Answer:

The number is 13 /24

Step-by-step explanation:

Let the number = x

x - (- 11/12) = 3x - 1/6

x + 11/12 = 3x - 1/6

Collect like terms ;

x - 3x = - 1/6 - 11/12

-2x = (-2 - 11) / 12

-2x = - 13 / 12

-2x(12) = - 13

-24x = - 13

x = 13 / 24

BRO LIKE I'M THE MOST STUPPID PERSON YOU'LL EVER MEET.
pls help mee

Answers

Answer:

80°

Step-by-step explanation:

Here the missing angle is x

So,

x + 100° = 180° [linear pair]

=> x = 180° - 100°

=> x = 80° (Ans)


Pleaseee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

NQ is perpendicular to OM

Step-by-step explanation:

NQ is perpendicular to OM

1. TRIANGLES The ratios of the measures of the
angles in ADEF is 7:13:16.
F
16xº
E
137°
7x°
Find the measure of the angles

Answers

sum of all sides of triangle=180°

7x+13x+16x=180°

36x=180°

x=180°/36

x=5

angle D=7x

=7(5)

D=35°

angle E=13(x)

=13(5)

E=65°

angle F=16x

=16(5)

F=80°

angle D=35°

angle E=65°

angle F=80°

3) This table represents the price of milk for various years. What is the percent of increase from 1980 to 2010 1 Year Price 1980 $1.60 1990 $2.15 2000 $2.78 2010 $3.59​

Answers

Answer:

124.375% increase

Step-by-step explanation:

From 1980 to 2010 there was a 124.375% increase

rate of change y=5x+10

Answers

Answer:

5

Step-by-step explanation:

The equation [tex]y=5x+10[/tex] is given in slope-intercept form. Slope-intercept form is a way of writing the equation of a line in the format [tex]y=mx+b[/tex], such that the coefficient of the parameter (x) is the slope, and constant (b) is the y-intercept. What that essentially means is,

[tex]y = mx + b\\\\m=slope\\b = y-intercept.[/tex]

The slope of a line is its rate of change, and the y-intercept is where the graph of the line intersects the y-axis. One can apply this knowledge here by saying that, the equation [tex]y=5x+10[/tex] is given in the slope-intercept form, and the coefficient ([tex]m[/tex]) equals ([tex]5[/tex]), therefore the slope is ([tex]5[/tex]).

What is the value of w?

Answers

Answer:

14

Step-by-step explanation:

this is a 30-60-90° Δ and the sides, respectively, have the ratio of 1 : [tex]\sqrt{3}[/tex] : 2

we can set up a proportion and cross-multiply based on that ratio:

w / 7[tex]\sqrt{3}[/tex] = 2 / [tex]\sqrt{3}[/tex]

[tex]\sqrt{3}[/tex]w = 14[tex]\sqrt{3}[/tex]

w = 14

Write three equivalent ratios for the given ratio

the first one 4/3

2nd. 12/14

3rd 6/9

Answers

Answer:

For the first one:

[tex] \frac{8}{6} \\ \frac{12}{9} \\ \frac{16}{12} [/tex]

for the second one:

[tex] \frac{6}{7} \\ \frac{24}{28} \\ \frac{36}{42} [/tex]

For the third one:

[tex] \frac{2}{3} \\ \frac{4}{6} \\ \frac{12}{18} [/tex]

For every how many degrees will a pentagon have rotational symmetry?
A. 72 degrees
B. 60 degrees
C. 36 degrees
D. 45 degrees

Answers

A. 72 degrees (i hope this helped)
72 degrees :))))))))
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