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

Questions on attached photo.

Answers

Answer:

0

Step-by-step explanation:

Answer:

[tex]y = {11}^{x} [/tex]

Please help me. Will mark as brainliest

Answers

Answer:

y = 8

Step-by-step explanation:

sin(45 degrees) = √2/2

==> x = y = 8

Answer:

y = 8

Step-by-step explanation:

SOMEONE HELP!!!! EASY POINTS!!!! ANSWER ALL!!!

Answers

Answer:

1. 20x+8=48 2. x=2 3. the area of the square is 144units^2

Step-by-step explanation:

assuming its a perfect 4 sides square the total perimeter would be 5x + 2 units multiplied by 4 = the perimeter so 20x+8 = 48

20x+8=48

subtract 8 from both sides

20x=40

divide 20

x = 2 units

For area plug x back into 5x+2 and you will get 12 units for one side and all sides here should be 12 units so multiply one side with another

12 x 12 = 144 units^2

Answer:

Well I answered in the comments, but I need points so the answers are (in order) 12, 2, and 144

Step-by-step explanation:

Since it's a square, the sides will be the same length. If the perimeter is 48, then you divide 48 by 4 and you will have 12- your answer.

For x, subtract 2 from 12 to get ten, then divide that by five to get your answer which would be 2.

If the side length is 12, you square that and 12 squared is 144.

A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and
negative numbers represent the elevation of prey below the chameleon
The chameleon spots a fly at 4 m and a grasshopper at - 6 m.
What does an elevation of Om represent in this situation?
Choose 1 answer.
The elevation of the fly
The elevation of the chameleon
The elevation of the grasshopper
Report a problem
Stuck? Watch a video or use a hint.

Answers

A. The elevation of the fly swimming

Pls help me!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  6.  A

  7.  C

  8.  E

Step-by-step explanation:

6. If s is the number of programs sold for $0.45 each, then the contribution to Devon's pay (p) from selling programs is 0.45s. The per-game pay is added to that to give Devon's total pay:

  p = 0.45s + 40 . . . . . matches choice A

__

7. If Robert earns $25 per hour for x hours in tips, his tip pay is 25x. The flat rate is added to that to give the amount Robert makes:

  y = 25x + 40 . . . . . matches choice C

__

8. The graph of a proportional relationship is a straight line through the origin. This description matches B and C only, choice E.

Plsss help me thanks :D

Answers

Answer:

y

Step-by-step explanation:

First you would find y because two or more of the numbers have it. Then you would be able to solve for x

Consider an equilateral triangle that is small enough to fit in your pocket. Now consider an equilateral triangle that is big enough to fill a movie screen! What must be true about the measure of each of the interior angles for these two triangles? Does the size of a triangle influence its angle measures? What about other polygons?

Answers

Answer:

Step-by-step explanation:

First Question: Equilateral triangles all have the same interior angles. 60 degrees. Size does not make the angles bigger. It makes the sides bigger.

Second Question: No the size does not influence the size of the interior angle.

Third Question: That's true for all polygons. Size is not affect the interior angle size.

For 30 points pls help me!

Answers

Answer:

6.A

7.C

8.E

Step-by-step explanation:

ANYONE PLZ ANSWER THE ANGLE!!!!!

Answers

Answer:

b

Step-by-step explanation:

the answer is b. because it just is lolz.

Answer:

A. 45°

Step-by-step explanation:

It  shows 45°, in the middle point between 40° and 50°

Correct choice is A

En tu cuaderno realiza la conversión de los siguientes decimales a fracciones.
a) 0.250 :

Answers

Answer:

Tengo que convertir los siguientes números decimales a fracciones, y también tengo que simplificarlos a su mínima expresión. Aquí un ejemplo ;)

(no pido que me digan las respuestas, si no que me ayuden a entenderla)

0.44 = 44/100 = 22/50 = 11/25

0.62=

0.29=

2.05=

1.28=

0.08=

0.50=

0.375=

0.60=

0.7=

Step-by-step explanation:

riodttgruriirieiriiririt

If y varies directly as x and x=6 when y=0.5, find y when x=10

Answers

Answer:

y = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 6 when y = 0.5 , then

0.5 = 6k ( divide both sides by 6 )

[tex]\frac{0.5}{6}[/tex] = k , that is k = [tex]\frac{1}{12}[/tex]

y = [tex]\frac{1}{12}[/tex] x ← equation of variation

When x = 10, then

y = [tex]\frac{1}{12}[/tex] × 10 = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]

Can you guys please help me get the right answer I already got one wrong I can’t get another wrong!❤️

Answers

Answer:

C. The area is 900 square feet

Step-by-step explanation:

A square has four equal sides, and if one side is 30 feet then all sides are 30 feet. The formula for a square is A=s2

A=30 squared

A=900 square feet

Answer:

C) 900 square feet

Step-by-step explanation:

A = s^2

A = 30^2 ->30^2 is the same as 30 × 30

A = 900 square feet

16d + 20c + 5d -7 - 8c - 7d + 3 Simplify the expression above:

Answers

Answer:

14d + 12c -4

Step-by-step explanation:

pls help with this math question

Answers

Answer:

no

Step-by-step explanation:

because for it to be a function it needs to be negative

Answer:

no

Step-by-step explanation:

does not pass the vertical line test


there are 5 boxes of candies in it and there are 10 candies in each box and there are 3 extra pieces how many are all together

Answers

Answer:

53

Step-by-step explanation:

5x10=50

50+3=53

there u go have a good day

PLEASE ANSWER THIS QUICKLY- I WILL MARK YOU BRAINLIST IF YOU SHOW YOUR WORK!

Answers

Answer:

3, 130 degrees

Step-by-step explanation:

Angles TUW and VUW are congruent, so their opposite sides will be congruent as well

GF and IF are congruent, so their opposite angles will be congruent as well. 65 + 65 is 130 degrees.

Dawn says -2(-3)(4) is equal to 6(4). Javier says -2(-3)(4) is equal to -2(-12). Who is right? Explain

Answers

Answer:

Both of them

Step-by-step explanation:

-2*-3 = 6

So -2(-3)(4) is equal to 6(4).

-3*4 = -12

So -2(-3)(4) is equal to -2(-12).

help plsssssszsssssssss

Answers

Answer:

B

Step-by-step explanation:

The graph shows a turning point at x = - 1

This indicates a zero at x = - 1 with multiplicity 2

The corresponding factors are (x + 1) and (x + 1), thus

y = (x + 1)(x + 1) ← best describes the graph

Which math expression means "an unknown number divided by 180"?
A. X. 180
B. X = 180
C. X- 180
D. x + 180


Helppp

Answers

Answer:

The answer should be, x ÷ 180 or [tex]\frac{x}{180}[/tex]

good luck, i hope this helps :)

x/180 would be the correct answer

pls help 72 points given!

Answers

AB = 2cm_______________

Step-by-step explanation:

x = 1cm. ---- ( tangent property )AB = 2xAB = 2 × 1cmAB = 2cm___________________FOLLOW ME

Answer:

2cm

Step-by-step explanation:

Since x=1 cm, and AB=2x, 2*1=2 cm

The diameter of the wheel of a unicycle is 0.9m.
Alex tries to ride the unicycle and manages to go in a straight line for 33 full revolutions before
falling off.
h
How far did Alex manage to cycle in metres?
Give your answer rounded to 1 DP.

Answers

Cercel ne demek istoyusun ne

A climber starts descending from 506 feet above sea level and keeps going until she reaches 70 feet below sea level. How many feet did she descend?

Answers

Answer:

she descended 436 feet

Step-by-step explanation:pls mark brainliest i really want to move up a ranking

she descended 576 feet

Guadrilateral whose vertices are A(-2-2),B(5-2),C(4-3) and D(-3,-3)what kind of a guadrilatetal is ABCD?

Answers

Answer:

The quadrilateral ABCD is a parallelogram

Step-by-step explanation:

The vertices of the quadrilateral ABCD are;

A(-2 -2), B(5, -2), C(4, -3)and D(-3, -3)

The slope of segment [tex]\overline {AB}[/tex] = (-2 - (-2))/(5 - (-2)) = 0

The length of segment [tex]\overline {AB}[/tex] = 5 - (-2) = 7 (points having the same y-coordinates)

The slope of segment [tex]\overline {AD}[/tex] = (-3 - (-2))/(-3 - (-2)) = 1

The length of segment [tex]\overline {AD}[/tex] = √((-3 - (-2))² + (-3 - (-2))²)  = √2

The slope of segment [tex]\overline {DC}[/tex] = (-3 - (-3))/(-3 - 4) = 0

The length of segment [tex]\overline {DC}[/tex] = 4 - (-3) = 7 (points having the same y-coordinates)

The slope of segment [tex]\overline {BC}[/tex] = (-3 - (-2))/(4 - 5) = 1

The length of segment [tex]\overline {AD}[/tex] = √((4 - 5)² + (-3 - (-2))²)  = √2

Therefore;

The opposite sites of the quadrilateral ABCD are equal; [tex]\overline {AB}[/tex] = [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] = [tex]\overline {BC}[/tex]

Given that the slope of a line gives the inclination of the line on a graph, we have;

The opposite sites of the quadrilateral are parallel; [tex]\overline {AB}[/tex] ║ [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] ║ [tex]\overline {BC}[/tex]

Therefore the quadrilateral ABCD is a parallelogram because the opposite sides of the quadrilateral ABCD are parallel.



Which of the following shapes is a convex polygon?
OA)
OB)
OC)
OD)

Answers

Answer:

B is a convex polygon cause it points out

Maureen is in charge of renting a climbing wall for the school’s fundraiser. The equation y = 170x represents the total cost of renting a climbing wall from Company A. The table shows the relationship between cost and rental time for Company B. The graph shows the relationship for Company C. Which company, if any, offers the best deal? Explain.

GRAPH COMPANY B:
2 340
3 510
4 680
5 850

GRAPH COMPANY C:
2 350
3 525
4 700
5 875

PLEASE EXPLAIN NOT ONLY SAYING WHICH COMPANY ONLY??!!

Answers

Answer:

Company A and B

Step-by-step explanation:

For company A- 170 is the cost for one hour

For company B- 170 is the cost for one hour

For company C- 175 is the cost for one hour

So company A and B offer the best deal since they both offer $170 per hour.

Which graph is proportional?

Answers

Answer:

A

Step-by-step explanation:

What are some things we can comment about this image? Be as specific as possible!

Answers

It’s a square, the color of it is purple.

3. Sarah's bank statement shows a change of - $2.00 in her income
each week. How many weeks will it take before the total change is
- $14?

Answers

7 weeks. 2.00 a week x 7 weeks will be $14
The total change will be 7 weeks long until $14 is seen in her income

what is a way that i can get 3x and 2x to cancel out in this problem? i need to get - 5y = -13 and + 15y = -3 alone.

problem:
3x + 5y = -13
2x + 15y= 3

Answers

Answer:

For 3x + 5y = -13 the answer is x= -13/3 + 5y/3

and for 2x + 15y=3 the answer x= 1.5 + (-15y/2)

Step-by-step:

For 3x+5y=-13 you have to add 5y on both sides. Then you have to divide by 3 on both sides and cancel out the common factor of 3. Then you would get x= 13/3 + 5y/3.

For 2x + 15y=3 you have to subtract 15y on both sides of the equation. You should have 2x=3 + (-15y). Then divide by 2 on both sides. 3 divided by 2 is 1.5 and -15y divided by 2 is -15y/2 since 2 doesn't have the same variable. so the answer should be x= 1.5 + (-15y/2).

Which equations define y as a nonlinear function of x? Select ALL that apply.

Answers

Answer:

c and f

Step-by-step explanation:

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