⦁ Determine the zeros of f(x) = (x + 1)^2(x – 3)(x – 4). Indicate the multiplicity of any factors that occur more than once.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

(x + 1)²(x - 3)(x - 4) = 0

Equate each factor to zero and solve for x

x- 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then

x = - 1 with multiplicity 2


Related Questions

angle A and angle B are supplementary angles. If m∠=(4x - 30) degree and m∠B =(4x-14) degree, then find the measure of ∠A

Answers

Answer:

<A = 26°

Step-by-step explanation:

4x - 30 + 4x - 14 = 180

Supplementary angles sum together to make 180

=> 4x + 4x = 16x

=> -30-14 = -44

16x = 180+44

16x = 224

x = 224/16

x = 14°

4(14) - 30 = 26°

Find the width of the rectangle if the length of the rectangle is 5 more than it’s width, and the perimeter of the rectangle is 20 units

Answers

Answer:

w = 2.5

Step-by-step explanation:

Write these 2 equations to represent the problem:

[tex]l=w+5\\2w+2l=20[/tex]

where w is width and l is length. This can then be solved as a system of equatios. I'll solve by substitution, and as the [tex]l[/tex] is already solved for at the top:

[tex]2w+2l=20\\2w+2(w+5)=20\\2w+2w+10=20\\4w+10=20\\4w=10\\w=2.5[/tex]

If you just need the width, then you're already done there. I'll find  the other variable too, and then check it to be sure it's correct.

[tex]l=w+5\\l=(2.5)+5\\l=7.5[/tex]

Now, confirm that with the second equation:

[tex]2w+2l=20\\2(2.5)+2(7.5)=20\\5+15=20\\20=20[/tex]

The perimeter of a rectangle is the sum of its side lengths.

The width of the rectangle is 2.5 units

Represent the length with l and the width with w.

So, we have:

[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter

The perimeter is 20 units.

So, we have:

[tex]20 =2 \times (l + w)[/tex]

Divide both sides of the equation by 2

[tex]10 =l + w[/tex]

The length is said to be 5 more than its width.

So, we have:

[tex]l =5 + w[/tex]

Substitute 5 + w for l in [tex]10 =l + w[/tex]

[tex]10 = 5 + w + w[/tex]

[tex]10 = 5 + 2w[/tex]

Subtract 5 from both sides

[tex]5 = 2w[/tex]

Divide both sides by 2

[tex]2.5 = w[/tex]

Rewrite as:

[tex]w =2.5[/tex]

Hence, the width of the rectangle is 2.5 units

Read more about perimeters at:

https://brainly.com/question/397857

A taxicab charges $3.00 per person
plus $1.25 per mile. What is the
greatest distance one passenger
could travel with a budget of
$28.00?

Answers

Answer:

I believe the answer would be 20 miles max for one passenger.

Step-by-step explanation:

This is because if you create an equation out of this, knowing that only one passenger will be riding, you will get:

$3.00+$1.25x=$28       ($3 added too $1.25 times the number of miles (x) which equals the total amount you have ($28)).

x being the number of miles (so we need to calculate for x)

$3 + $1.25x = $28

-subtract 3 on both sides-

$1.25x=$28-$3

$1.25x=$25

-divide by 1.25 on both sides-

x=$25/$1.25

x=20 miles

Not sure if all calculations are correct, but I hope this helps :)!

6x2 + 108x + 707 = 5

Answers

Answer:

[tex]x=-9\pm6i[/tex]

Step-by-step explanation:

[tex]6x^2+108x+707=5[/tex]

[tex]6x^2+108x+702=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-108\pm\sqrt{(108)^2-4(6)(702)}}{2(6)}[/tex]

[tex]x=\frac{-108\pm\sqrt{-5184}}{12}[/tex]

[tex]x=\frac{-108\pm72i}{12}[/tex]

[tex]x=-9\pm6i[/tex]

please help me on this

Answers

Answer:

$44.68

Step-by-step explanation:

plus you have would have to find out what the money would be 10% off and then you add on the sales tax

answer should be $44.67
step by step explanation in photo:

I need the answers and explanation to a b c and d

Answers

Answer:

  a) 4x -3y ≥ -24

  b) 2x +3y ≥ -12

  c) 4x -3y ≤ 12

  d) 2x +3y ≤ 24

Step-by-step explanation:

All of the given points are on the axes, so it is useful to know the intercept form of the equation for a line is ...

  x/a +y/b = 1 . . . . . . where a is the x-intercept and b is the y-intercept.

a)

The boundary line for the first side is ...

  x/-6 +y/8 = 1

  4x -3y = -24 . . . . . . multiply by -24 to put in standard form

The graph shows the quadrilateral is to the right of this line, so its inequality is ...

  4x -3y ≥ -24

__

b)

The boundary line for side 2 has equation ...

  x/-6 +y/-4 = 1

  2x +3y = -12 . . . . . multiply by -12

The quadrilateral is to the right of this line, as well, so its inequality is ...

  2x +3y ≥ -12

__

c)

We can see from the graph that the x-intercept of the boundary line for side 3 is x=3. The equation for that boundary line is ...

  x/3 +y/-4 = 1

  4x -3y = 12

The quadrilateral is to the left of this line, so its inequality is ...

  4x -3y ≤ 12

__

d)

Apparently, side 4 is intended to use points already given. We assume it passes through (6, 4) and (0, 8). This boundary is parallel to side 2, so will have the same equation, but with a different constant.

  2x +3y = 2(0) +3(8) = 24

The quadrilateral is to the left of this line, so its inequality is ...

  2x +3y ≤ 24

__

The second attachment shows a graph of the four inequalities with their shading.

_____

Additional comment

All of the inequalities are written in standard form, so the x-coefficient is positive for all of them. The direction of the inequality symbol can be chosen to select values of x that are greater than or less than those on the boundary line. If the shading is to be to the right, then larger x-values are required, and the inequality will have the form ax + by ≥ c (a > 0). If shading is to the left, then smaller x-values are required, and the inequality symbol points in the other direction.

The figure is a parallelogram, not a rectangle.

10)
There are 14 black pens out of 25 pens. What percent of the pens are black?

Answers

Answer:

Step-by-step explanation:

14 dived by 25 is 56%

Solve for the x

[tex]\frac{36}{x}[/tex] = -9

Answers

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

[tex]:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}[/tex]

-324 because 36/-324 is -9. Make sure to add the negative

Solve the system using elimination 2x+3y=18 5x-y=11

Answers

Answer:

7x-4y=29

Step-by-step explanation:

the answer should be that's it

First person to get it right will get brainly and 20points

Answers

divide it into 8 equal sections then shade 5 sections

HELP PLEASE IS IMPORTANT!
Solve the equation by using the Quadratic Formula.
2x 92-5

Answers

See attachment for answer and math work.

Which of the sets of ordered pairs represents a function?

A = {(3, −5), (4, 6), (3, 9), (2, 7)}
B = {(2, 4), (−1, 4), (5, 4), (4, 4)}

a
Both A and B

b
Only B

c
Only A

d
Neither A nor B

Answers

Answer:

B

Step-by-step explanation:

A does not represent a function because the x-value of 3 appears twice, and by the defenition of a function, the x-value cannot appear twice for it to be considered a function. B could be a function because the x-values are not repeated.

Therefore the answer is B, only B is a function.

2
Lola is traveling to Florida and needs to rent a car. The charge is $22 per day and an additional $0.15 per mile. Lola only has $52 to spend. How many miles can she go?

Answers

Answer:

answer is in an image here

imageshare.best/image.php?id=JS9NDO

Explanation:

copy n paste in browser

not a bot btw

Assuming she only uses the car for one day 200 miles

52-22=30
30/0.15=200

(If she uses the car for more days do 22 x # of days and then subtract it from 52, then divide that answer by 0.15)

(100 POINTS) URGENT PLEASE HELP
A class is selling granola bars for a fundraiser. They earn $0.75 for every granola bar sold. They have ordered 300 granola bars for the sale. The function P(b) = .75b represents the profit (P) the class earns for each bar (b) they sell. Find a reasonable domain and range for this scenario.

If you post a random answer just to get the points, I will report you with several accounts until you get banned.

Answers

Answer:

I'm not sure but I'll try help you work it out

Step-by-step explanation:

You need to do 300 x 0.75

Then you need to do 0.75 + 0.75, 300 x 1.50

Now compare the answers

A reasonable domain could be a bake sale <3

Sorry I tried to help

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

55:5 for the second one, 121:11 for the second one

Step-by-step explanation:

Answer:

55 and 121

Step-by-step explanation:

22/2=11

11=1

11*5=55

11*11=121

If 333 + 555 = 999 And 123 + 456 = 488 And 505 + 213 = 809 Then 344 + 732 = ???

Answers

The answer is: 344 + 732 = 1076

Answer:

1076

Step-by-step explanation:

I just need points lol


The price tag on the remote-controlled helicopter said $79. If Jimmy buys the
helicopter, he'll also have to pay 8% sales tax. How much does the helicopter cost with
tar?

Answers

Step-by-step explanation:

79×0.08 = 6.32 (tax)

79(price) + 6.32(tax) = 85.32

Simple Geometry Question 100 Points
How do you use coordinates to find the area of polygons?

Answers

Answer:

By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.

Step-by-step explanation:

By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon

Which of the following is equal to
(x - 3)(2x + 4x - 1)?
A 2x3 - 2x2 - 11x + 3
B 2x3 -- 2x2 - 13x + 3

Answers

Answer:  [tex]2x^3-2x^2-13x+3[/tex]

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

Work Shown:

I'm assuming you meant to say [tex](x - 3)(2x^2 + 4x - 1)[/tex]

Let [tex]y = x-3[/tex]

So,

[tex](x - 3)(2x^2 + 4x - 1)\\\\y(2x^2 + 4x - 1)\\\\y2x^2 + y4x - y\\\\2x^2(y) + 4x(y) - (y)\\\\2x^2(x-3) + 4x(x-3) - (x-3)\\\\2x^3-6x^2 + 4x^2-12x - x+3\\\\2x^3-2x^2-13x+3\\\\[/tex]

The basic idea is to use the distribution rule (line 3 and line 6) and then combine like terms.

HELP FAST!!! MARKING BRAINLIEST!!!
Prove the following theorem:
Given 3 different lines a, b, and c. If a is parallel to b (a║b), and c intersects a (c∩a), then prove that c intersects b (c∩b).

Answers

Answer:

Well, I think this is correct:

Well, if we know that a and b are parallel, that means they have the same slope but different y-intercept.  So, if c and a intersects, then c and b are bound to intercept, because when c intersects with a, it will also cross b, since it will be going in the same route...which will make it also intersect with b. (crossing.)

Sorry if I'm wrong.

Hope this helps! :)

I HAVE NO IDEA HOW TO DO THIS

Answers

Answer:

Line 1 is D

Line 2 is I

Line 3 is B

Line 4 is F

Step-by-step explanation:

Find the slope of each line to get these answers, and when you see an equation like y=3x+1 it means that 1 is the y intercept and 3 is the slope

Calculate the value of 4321 (base 5) + 343 (base 5)​

Answers

In the "1s" place,

1₅ + 3₅ = 4

In the "5s" place,

2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11

In the "25s" place, we carry the leading 1 from the "5s" place,

3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12

In the "125s" place, we carry over the 1 again,

4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10

Putting everything together,

4321₅ + 343₅ = 10214₅

Answers ASAP THANKS!!!

Answers

the answer would be x<3/2

can anybody help me with this?​

Answers

Answer:

a) 3.6 × 10²

Time = distance / speed

So time = 1.08 × 10⁸ / 3 × 10⁸

= 1.08 × 10¹¹ / 3 × 10⁸ ( converted 10⁸ km to meter )

= 1.08 × 10³ / 3

= 0.36 × 10³

. = 3.6 × 10²

Time = 3.6 × 10²

Please help me with this

Answers

Answer:

h,c

Step-by-step explanation:

The difference between eight times a number and three is equal to negative nineteen. What is the number?

-2
2
-3
3

Answers

Answer:

-2

Step-by-step explanation:

3 - 19 = 8(x)

-16 = 8(x)

-16/8 = x

x = -2

Answer:

I believe that it is -2

Step-by-step explanation

 I had this math question too  

37. Briefly explain how the use of credit helped increase the average
American's standard of living in the 20th century.

Answers

Answer: If a person has a better credit, they have better chances of getting the job they had applied for. Getting the job means they get a stable income. Having a stable income helps a person to buy all essential needs.

Step-by-step explanation:

6.4f 24 water bottles weigh 30 pounds, how much would a shipment of 150 water bottles weigh?​

Answers

Answer:

120 pounds

Step-by-step explanation:

24÷30 =0.8

0.8 x 150= 120 pounds

If x=2, y=4, m= -1, and n=3 find the value of :
X^m+n * y^n-m/ x^m-n * y^n+m

Answers

Answer:

The value is [tex]\frac{1}{16384}[/tex]

Step-by-step explanation:

Here we need to find

[tex]\frac{x^{m+n}\cdot y^{n-m}}{x^{m-n}\cdot y^{n+m}}=x^{m+n-(m-n)}\cdot y^{n-m-(n+m)}\\\\=x^{2n}\cdot y^{-2m}\\\\=2^{2\cdot-1}\cdot 4^{-2\cdot3}\\\\=\frac{1}{2^2\times4^6} \\\\=\frac{1}{16384}[/tex]

There are 32 vanilla cupcakes and 40 chocolate cupcakes at a bakery. All of the cupcakes must be placed in boxes with the same number of vanilla cupcakes and the same number of chocolate cupcakes in each box.​

Answers

Answer:

5 to 4

Step-by-step explanation:

when it's asking for a ratio it's basically division

chocolate/vanilla = 40/32 = 5/4

5/4 is the same as 5:4 or 5 to 4

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