Find the root(s) of f(x) = (x + 5)2(x - 9)2(x + 1).
-5 with multiplicity 3
5 with multiplicity 3
-9 with multiplicity 2
9 with multiplicity 2
-1 with multiplicity 0
-1 with multiplicity 1
N1 with multiplicity o
with multinlicity 1

Answers

Answer 1

Answer:

x = -5,-1, 9. -1 with multiplicity 1, 9 with multiplicity 1, and -5 with multiplicity 1.

Step-by-step explanation:

the coefficients do not change the roots of the equation but rather the local minima and maxima, and Minimum or Maximum depending on the function.

Answer 2

Answer:

-1 with multiplicity 1


Related Questions

2.75 + (-2)+(-6.25)
I am so bad at math please help me

Answers

Answer:

-5.5

Step-by-step explanation:

2.75+(-2)+(-6.25)=-5.5

-5.5 :))


hope this helped :))

simplifying radicals pt.6 please help ASAP and explain if possible

Answers

Answer:

[tex]6\sqrt{15}[/tex] or decimal form 23.23790007...

Step-by-step explanation:

Rewrite 540 as [tex]6^{2}[/tex] * 15

Factor 36 out of 540 .

[tex]\sqrt{36 (15)}[/tex]

Rewrite 36 as [tex]6^{2}[/tex].

[tex]\sqrt{6^2*15}[/tex]

Pull the terms out from under the radical.

[tex]6\sqrt{15}[/tex]

6x + 2 = 5x + 17, would there be one unique solution? What is it?

Answers

Answer:

X = 15

Step-by-step explanation:

1.- Rewrite the equation, Put like terms on the same side

6x - 5x = 2 - 17

Instead of adding subtract

2.- Divide 1 on both sides

1x = 15

You should only have X on the left side

3.- You should have

X = 15

Lin-Manuel runs a rare book store. Last year, he earned $35,000 in revenue and had explicit costs of $8,000. Lin-Manuel could have made $29,750 testing information security equipment and received an additional $10,000 if he had used the company's inputs in a different way. Calculate Lin-Manuel's economic profit.

Answers

Answer: Economic loss of $12,750

Step-by-step explanation:

Economic profit is calculated by deducting both the implicit and the explicit costs from income.

Explicit cost are the costs of running the business whilst implicit costs are the gains that could have been earned if other alternatives had been embarked on.

Economic profit (loss);

= 35,000 - 8,000 - 29,750 - 10,000

= (12,750)

Which of the following irrational expressions are located between 6 and 8 on the number line? Select three that apply.​

Answers

Answer:

A) √7 + 4

B)2√15

D)√23+√8

Step-by-step explanation:

The options are:

A) √7 + 4

B)2√15

C)8-√5

D)√23+√8

E)√80-3

Analysing A.

√7+4 = 2.64575131106459 + 4

√7 + 4 = 6.64575131106459

Analysing B

2√15 = 2 * 3.87298334620741

2√15 = 7.74596669241483

Analysing C

8-√5 = 8 - 2.23606797749978

8 - √5 = 5.76393202250021

Analysing D

√23+√8 = 4.79583152331271 + 2.82842712474619

√23+√8 = 7.62425864805890

Analysing E

√80-3 = 8.94427190999915 - 3

√80-3 = 5.94427190999915

After the above analysis;

Options A, B and D answer the question

Answer: 7+4

5/15

/80-5

Step-by-step explanation:

What is the midpoint between n(- 4, 4) and (- 2, 2)

Answers

(-3,3) is the midpoint between the two

1) true or false: Two triangles with three pairs of corresponding congruent angles are congruent.

2) true or false: Two triangles with two pairs of congruent corresponding angles and three pairs of congruent corresponding sides are congruent.​

Answers

Step-by-step explanation:

TrueFalse

For two triangle to be congruent,there must be any three sides or angle including congruent

Congruent triangles have three pairs of corresponding sides that are congruent, while two triangles that have three pairs of corresponding congruent angles are similar and not necessary congruent. Therefore:

Statement 1 is FALSE.Statement 2 is TRUE.

Recall:

Two triangles having three pairs of corresponding sides have the same shape and size, and are congruent.Two triangles having three pairs of corresponding angles have the same shape but may have different sizes. They are rather similar.

1. When the two triangles have the three pairs of corresponding angles that are congruent, they can only be said to be similar. They have the same shape but may be of different sizes.

They will be congruent if all corresponding three pairs of sides of both triangles are congruent.

Therefore, statement 1 is FALSE.

2. Knowing that three pairs of corresponding sides of two triangles are congruent, it is enough to prove that both triangles are congruent to each other.

Therefore, statement 2 is TRUE.

Learn more here:

https://brainly.com/question/9795907

math question pls help the bottom number goes together

Answers

Answer:

10!

Step-by-step explanation:

1/2 x 8 = 4

4 - -4= 8

8 + 2 = 10

Find the slope of the line passing through each of the following pairs of points.
(0, −8), (0, 4)

Answers

Answer:

Undefined.

Step-by-step explanation:

[tex]m=\frac{rise}{run}=\frac{4+8}{0-0}=\frac{12}{0}= undefined[/tex]

The slope is undefined.

Hope this helps.

Answer:

Undefined( If this is wrong then it is zero)

Step-by-step explanation:

The formula for this problem is y2 - y1/x2-x1. You can name any of those points 1 or 2 as long as they have the right coordinate.

4 - (-8)/0 - 0= 12/0 = Undefined

For an upcoming field trip, there will be 36 fifth graders and 48 sixth graders. Each van will carry the same number of students, and only students from one grade. If each van will carry the greatest possible number of students, how many vans will be needed?

Answers

Answer:

7 Vans will be needed

Step-by-step explanation:

If 4 video games cost $78, how much do 8 video games cost?

Answers

Answer:

156 dollars is how much 8 video games cost

Answer:

132.8

Step-by-step explanation:

first divide 78 by 4 wich is 16.6 then multiply 16.6by 8 and you get 132.8

the complement angle of 40 degree is

Answers

Answer:

50 degree angle

Step-by-step explanation:

Complementary angles add up to 90 degrees

Just solve for 50 points and brainliest!

10+10-7=

6-10+15=

Answers

Answer:

13

11

Step-by-step explanation:

what are the common factors of 24 and 36
A. 1,3,4,9,18
B. 1,2,4,6,12
C. 1,2,3,4,1,2
D. 1,2,3,4,6,8,12

Answers

Answer:

b.

Step-by-step explanation:

For this u have to use HCF

Common factors are 1,2,2 and 3

If u multiply u will be able to get the answer.

Mark me the brainliest

In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the free throw line for three foul shots. Dalistan’s free throw percentage is 84.6.

Answers

Complete Question

Question: In the bronze medal game of the 2014 FIBA Asia Cup... In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the line for three foul shots.

1. Watch the video of Dalistan preparing to take his first shot. Before he shoots, what is the probability that Philippines will win the game? Lose the game? Send it into overtime? Dalistan’s free throw percentage is 84.6%

Answer:

a

    The probability that Philippines will win the game is   [tex]P(A) =  0.6055 [/tex]

b

   The probability that Philippines will lose the game is [tex]P(B) =  0.00365[/tex]

c

  The probability that the game will be sent to overtime  is [tex]P(C) =  0.06 [/tex]

Step-by-step explanation:

From the question we are told that

    The  probability of  Paul Dalistan making a shot is  p  =  0.846

   The probability of  Paul Dalistan not making the shot is  [tex]q = 1- p = 1- 0.846=0.154[/tex]

     Paul Dalistan team was down by two points

This mean that for Paul Dalistan's  team to win the game he must make the 3 free throws

So the probability that Philippines will win the game is mathematically represented as

    [tex]P(A) =   p^3 [/tex]

=>  [tex]P(A) =  0.846^3[/tex]

=>  [tex]P(A) =  0.6055 [/tex]

Gnerally for Paul Dalistan's  team to loss the game it means that Paul Dalistan did not make any of the free shot

Hence the probability that Philippines will loss the game is  

     [tex]P(B) =  q^3[/tex]

=>  [tex]P(B) =  (0.154 )^3[/tex]

=>  [tex]P(B) =  0.00365[/tex]

Generally for the game to be sent to overtime  then the game must be tied and for the game to be tied, Paul Dalistan have to make 2 out of the three shots

   Hence the probability that game will go to overtime is  

          [tex]P(C) =  3 *  0.846 *  0.154  *  0.154[/tex]

         [tex]P(C) =  0.06 [/tex]

Find m angle Y
(6x – 23)

(4х + 9)

m angle Y = ?
a
54
b
34
C
73
d
16

Answers

Answer:

m<y= 34

Step-by-step explanation...

6x-23=4x+9

2x=32

x=16

m<y+m<z=180

m<y=73+73=180

m<y=34

An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.

The sum of the three angles is equal to 180 degrees.

The value of angle m∠Y is 34°.

Option B is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Isosceles triangle:

Two sides are equal.

The angles opposite to the equal sides are also equal.

So,

From the figure we have,

6x - 23 = 4x + 9

Add 23 on both sides.

6x - 23 + 23 = 4x + 9 + 23

6x = 4x + 32

Subtract 4x on both sides.

6x - 4x = 4x + 32 - 4x

2x = 32

Divide both sides by 2.

x = 32/2

x = 16

The sum of the three angles of the Isosceles triangle given must be 180 degrees.

6x - 23 + 4x + 9 + m∠Y = 180

Put x = 16

6x16 - 23 + 4x16 + 9 + m∠Y = 180

96 - 23 + 64 + 9 + m∠Y = 180

146 + m∠Y = 180

Subtract 146 on both sides.

m∠Y = 180 - 146

m∠Y = 34

Thus,

The value of angle m∠Y is 34°.

Option B is the correct answer.

Learn more about triangles here:

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PLZ HELPPP
What number is 70% of 60?

Answers

Answer:

42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

42/60 = 70%

(Hope I helped)

Which of the given values is the greatest

A) 0.325
B)0.42
C)1/8
D)2/5

Answers

Answer:

I think the answer is d) 2/5

Answer:

B

B is the answer

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box box of paper weighs 25 pounds and each large box of paper weighs 70 pounds. A total of 21 boxes of paper were shipped weighing 1110 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

Answer:

25s+70l=1110

s+l=21

In the figure shown, FG is tangent to circle D.
DO
G
What is the relationship between DG and FG?
O A. DG is parallel to FG
O B. DG is perpendicular to FG.
OC DG Intersects FG to form an acute angle.
ODDO intersects FG to form an obtuse angle

Answers

Answer:

Option B

Step-by-step explanation:

From the figure attached,

Circle D is drawn with the radius = DG or DE

A tangent FG has been drawn at a point G on the circle from an external point F.

By theorem,

Radius of a circle is always perpendicular to the tangent, drawn to the circle from an external point.

Therefore, DG ⊥ FG.

Option B will be the correct option.

Answer: B

Step-by-step explanation: good luck!:)

can u help, its vertical angles

Answers

Answer:

85 + 95=180

Step-by-step explanation:

just subtract 85 from 180 to get x

85-180=... then you will get your answer

5x²y + 35x²y + 50 xy

HELP ME FACTOR THIS PLEASE!!!

Answers

Answer:

10xy(4x+5)

Step-by-step explanation:

Hope that helped :)

The answer fam is.........10xy(4x+5)

Three scenarios are given in parts a through c below. For each​ scenario, determine the sampling method used by the managers. ​a) The managers select a single branch at random and survey every employee of that branch. A. The managers used a systematic sample. B. The managers used a multistage sample. C. The managers used a cluster sample. D. The managers used a stratified sample. E. The managers used a simple random sample. ​b) The managers use the company​ e-mail directory to contact every 3030th employee on the list. Choose the correct sampling method below. A. The managers used a cluster sample. B. The managers used a multistage sample. C. The managers used a stratified sample. D. The managers used a systematic sample. E. The managers used a simple random sample. ​c) The managers split the company into​ divisions, with each division containing employees that have similar jobs. Within each​ division, they select a SRS of employees to contact. Choose the correct sampling

Answers

Answer:

1. C. The managers used a cluster sample

2.  B)The managers used a systematic sample.

3. The managers used a stratified sample.

Step-by-step explanation:

1. In a cluster sampling method, the population would be divided into several small units called cluster by the researcher. Within these clusters we randomly pick one or more to observe.

2. In systematic sampling we select elements from an ordered sampling frame.

3. In stratified sampling, the population is divided into several stratas and the researcher then selects randomly to complete the sampling process

NEED ANSWER STAT
A theme park costs $25.00 to enter. One of the food stands within the park sells hot dogs for $2.50 each and hamburgers for $3.50 each. If Paul enters the park, walks to the food stand, and purchases hot dogs and hamburgers, the amount of money he spends can be modeled by the expression below.

2.5d+3.5b+25
2.5d+3.5b+25

Which of the following are correct interpretations for parts of this expression? Choose ALL that apply.
A.
2.5d represents the cost of entering the park
B.
2.5d represents the cost of purchasing d hot dogs
C.
2.5d represents the cost of purchasing d hamburgers
D.
3.5b represents the cost of entering the park
E.
3.5b represents the cost of purchasing b hot dogs
F.
3.5b represents the cost of purchasing b hamburgers
G.
25 represents the cost of entering the park

Answers

Answer:

B, F, G

Step-by-step explanation:

Answer:

B, F, G

Step-by-step explanation:

A pair of jeans was 25% off the original price. The sale resulted in a $24 discount. What was the original cost of the jeans before the sale?

Answers

Answer:

The original cost of the jeans before the sale was 30$

Step-by-step explanation:

Find the greatest common factor of 35 and 26

Answers

Answer:

1

Step-by-step explanation:

The factors of 26 are:

1, 2, 13, 26

The factors of 35 are:

1, 5, 7, 35

The common factors are:

1

The required greatest common factor(GCF) of 35 and 26 is 1.

What is the Greatest Common Factor (GCF)?

The greatest Common Factor is defined as the greatest number that is a factor of both numbers when two numbers are involved.

A number that divides into another number completely is said to be a factor.

The numbers are given in the question, as follows:

35 and 26

We have to determine the greatest common factor of 35 and 26

Prime factorization of the numbers:

35 = 5 × 7

26 = 2 × 13

GCF(35, 26)

= 1

Hence, the required greatest common factor of 35 and 26 is 1.

Learn more about  the Greatest Common Factor here:

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Kai took five tests this semester. His scores are listed below.

92, 88, 90, 96, 84

What is the mean absolute deviation of Kai's test scores?

Answers

Answer:

90

Step-by-step explanation:

add them, then divide the answer by 5, because there are 5 numbers

can someone tell me what's happening here? jk don't just help me answer this plzzzzz

7x+4-2x=6(x+1)-x

Answers

Answer:

the sides are not equal

Step-by-step explanation:

7x + 4 - 2x = 6(x + 1) - x     expand

7x + 4 - 2x = 6x + 6 - x      combine similar terms

7x - 6x - 2x + x = 6 - 4

                  0 = 2    ------ no solution

what's the sum of 2 plus 2​

Answers

Answer:

4

Step-by-step explanation:

Answer:

the sum is 4 and can i have brainliest? please i really need it

Step-by-step explanation:

What is the minimum point of the graph of the equation y = 5x2 - 30x?

Answers

Answer:

10-30x=-20x,i hope i help u :)

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This I feared might be a prelude to their plundering [stealing] the kings chest. I immediately sent an officer and 12 men to protect the sentry and the kings money . . . they [the soldiers] rushed through the people and by charging their bayonets in half circles, kept them [the townspeople] at a little distance . . . the unhappy affair took place without any loading in their pieces [muskets]; nor did I ever give orders for loading them. The mob still increased and were more outrageous, striking their clubs...and calling out, come on you rascals, you bloody backs, you lobster scoundrels, fire if you dare . . . fire . . . At this time I was between the soldiers and the mob, parleying with and endeavoring all in my power to persuade them to retire peacefully, but to no purpose.From Captain Prestons point of view, what was the intent of this unruly crowd? How did Captain Preston attempt to settle this matter? What formations are created by sand deposition by waves? 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