Determine the total number of roots of each polynomial function using the factored form.f (x) = (x - 6)2(x + 2)2

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Answer 2

4

Answer:

Step-by-step explanation:


Related Questions

Which graph is the solution to the inequality?

Answers

Answer:

A

Step-by-step explanation:

1) subtract 2 from both sides:

-3x≤12

x≥-4(sign flips since we divided by a negative)

so the graph would be  A

since "the equal to" means its a closed circle

Hope this helps!

Answer:

B,A,C

Step-by-step explanation:

Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel.
Let k be Kevin's age and let d be Daniel's age.

Answers

Answer  :  Define F as fathers age and S as sons age right now.

Then now they are

(1) 3S = F

and six years ago they were

(2) 5*(S-6) = F-6

calculate 5*(S-6)

5S - 30 = F-6

Subtract left and right side by -F

Add 30 to left and right side

5S - F = 24

Put (2) 3S = F into the equation above

5S - 3S = 24

2S = 24

S = 12

insert result in (2) 3S = F

3*12 = F

36 = F

So the son is 12 years, and the father is 36 years.

"The correct system of equations to represent Kevin's and Daniel's ages is:

1.  k = d + 3

2.  k - 2 = 4(d - 2)

To solve for Kevin's and Daniel's current ages, we can substitute  k  from equation 1 into equation 2.

From equation 1:

k = d + 3

Substitute  k  into equation 2:

(d + 3) - 2 = 4(d - 2)

Now, simplify the equation:

d + 1 = 4d - 8

Combine like terms:

4d - d = 8 + 1

3d = 9

Divide both sides by 3 to solve for  d :

d = [tex]\frac{9}{3}[/tex]

d = 3

Now that we have Daniel's age, we can find Kevin's age by substituting  d  back into equation 1:

k = d + 3

k = 3 + 3

k = 6

Therefore, Kevin is 6 years old and Daniel is 3 years old. The final answer is:

Kevin's age:  k = 6

Daniel's age:  d = 3 "

If the diameter of the semicircle is 1.7 centimeters, what is the circumference of the semicircle?


Answers

To solve this you need to use this formula: 1/2Pi x D

So we can multiply 0.5 x 3.14 x 1.7

Your answer is 2.669

What is the sign of 3x y3xy3, x, y when x>0x>0x, is greater than, 0 and y<0y<0y, is less than, 0?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Positive


(Choice B)

B

Negative


(Choice C)

C

Zero

Answers

Answer:

B ) Negative

Step-by-step explanation:

Given the expression 3xy

when x>0 and y<0

The value of the expression 3xy will be negative.

This is because the product of a positive and negative number will always be negative.

For illustration,

Let x=5>0 and y=-5<0

3xy=3(5)(-5)=-75

NOTE:

[tex]-X-=+\\-X+=-\\+X+=+[/tex]

Find i’ll mark brainly

Answers

Answer:

48 units ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

b1 = AT = 4*2 = 8 units ( watch the scale)

b2 = SR = 2*2 = 4 units ( watch the scale)

h = The line that S is at the to line that T is at along the x axis

  = 4*2 = 8 units ( watch the scale)

A = 1/2 ( 8+4) * 8

   = 1/2 *12*8

  = 48 units ^2

Answer:

48 units²

Step-by-step explanation:

ARST is a trapezoid

1 block = 2 units

½ × (4 + 8) × 8

48 units²

-x - 6y - z = -11 3x - 5y - 3z = 23 3x + 5y + 4z = 1

Answers

6x+7=12fhfjsjuahdhfuduwjsjsj

What is the solution system y=2/3x-2 y=-x+3

Answers

Answer:

x = 3 , y = 0

Step-by-step explanation:

Solve the following system:

{y = (2 x)/3 - 2 | (equation 1)

y = 3 - x | (equation 2)

Express the system in standard form:

{-(2 x)/3 + y = -2 | (equation 1)

x + y = 3 | (equation 2)

Swap equation 1 with equation 2:

{x + y = 3 | (equation 1)

-(2 x)/3 + y = -2 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{x + y = 3 | (equation 1)

0 x+(5 y)/3 = 0 | (equation 2)

Multiply equation 2 by 3/5:

{x + y = 3 | (equation 1)

0 x+y = 0 | (equation 2)

Subtract equation 2 from equation 1:

{x+0 y = 3 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = 3 , y = 0

Final answer:

To solve the given system of equations, we can use the method of substitution. After obtaining the value of x, we can substitute it back into one of the original equations to solve for y. The solution to the system is x = 3 and y = 0.

Explanation:

The given system of equations is:

y = \frac{2}{3}x - 2

y = -x + 3

To solve this system, we can use the method of substitution. We can rearrange the second equation to solve for y:

y = -x + 3

Now, substitute this value of y into the first equation:

\frac{2}{3}x - 2 = -x + 3

Add x to both sides:

\frac{2}{3}x + x - 2 = 3

Multiply both sides by 3 to eliminate the fraction:

2x + 3x - 6 = 9

Combine like terms:

5x - 6 = 9

Add 6 to both sides:

5x = 15

Divide both sides by 5:

x = 3

Now, substitute the value of x back into one of the original equations to solve for y:

y = -x + 3

y = -3 + 3

y = 0

Therefore, the solution to the system of equations is x = 3 and y = 0.

Learn more about Systems of Equations here:

https://brainly.com/question/35467992

#SPJ3

You start a search for a buried object by marking the center of a field as (0, 0), with
coordinates giving distances in yards. Coordinates to the north or east are positive, and
coordinates to the south or west are negative. You find nothing at (–10, 6), so you try a likely
looking spot 3 yards to the east and 12 yards to the south of the first spot. What are the
coordinates of the second spot?
(–7, –6)
(12, –6)
(–13, –9)
(5, –3)

Answers

Answer:

(-7,-6)

Step-by-step explanation:

-10 + 3 = -7

6 - 12 = -6

(-7,-6)

Find the weight of the metal gate. I need help finding another to prove it weighs 42.5kl as you will see it is incomplete.

Answers

Answer:

150 kg

Step-by-step explanation:

The diagonal Piece: √5²+12² = 13

6 pieces: 5, 12, 5, 12, 13, 13

Total length: 2 x(5 + 12 + 13) = 60

Total weight: 60 x 2.5 = 150 kg

Answer:

150 kg

Step-by-step explanation:

The length of the diagonal:

sqrt(12² + 5²)

sqrt(169)

13

Total length:

2(13 + 12 + 5)

2(30)

60m

Mass;

60 × 2.5

150 kg

Which of the following is a solution of the inequality h + 9 <20?
A. 13
B. 12
c. 11
D. 10​

Answers

D. You subtract 9 from both sides and you have: h<11 . 10<11

Answer:

D.10

Step-by-step explanation:

if you just add the other numbers in place of variable h

13+9=22

12+9=21

11+9=20

10+9=19

only one addition problem adds up to a sum below 20 that being 10 so the answer is D

Find the difference.
(6x +9) - (7x+1) =

Answers

Answer:-x+8

Step-by-step explanation:

So in this case we have to combine alike variables for this question.

(6x+9)-(7x+1)

     -9       -9

                     

6x-7x+-8

We had to isolate in this case thats why both alike terms were getting subtracted by 9.

Then we just combining 6x-7x since they are alike terms.

-1x+8

-1x and -x are the same thing but if you want to make it more complex, the real answer is  -x+8

(I hope you find this helpful ;w;)

Answer:

-x+8

Step-by-step explanation:

Solve for x -10x=-200

Answers

Answer:

x = 20

Explanation:

Let's solve your equation step-by-step.

−10x = −200

Step 1: Divide both sides by -10.

−10x /−10  =  −200 /−10

x = 20

Answer:

x = 20

Step-by-step explanation:

-10x=-200

x = -200/ -10

x = 20

8 into 6482 what is the placement value​

Answers

Answer:

It is 80.

Step-by-step explanation:

It's pretty simple-> Thousands, Hundreds, Tens, Ones.

Answer:

The tens place

Step-by-step explanation:

place values:

6000

400

80

2

A translation moves point V(-2, 3) to V-2,7). Which are true statements about the translation?

1. The point moves two units left and four units up.

2.The transformation rule is (x,y) = (x+0.7+4).

3.The transformation is a vertical translation.

4.The image is four units to the left of the pre-image.

5.The translation can be described as (x, y) = (x-2, Y+7).​

Answers

Answer:

2. The transformation rule is (x, y) -> (x + 0, y + 4).

Step-by-step explanation:

The true statements about the translation are:

2. The transformation rule is (x,y) = (x+0.7+4).

3. The transformation is a vertical translation.

The vertices are given as:

V(-2, 3) to V-2,7)

From the above vertices, we have the following transformation rule

(x,y) = (x+0.7+4).

Notice that the x-coordinate remains unchanged,

This means that the transformation is a vertical translation.

Hence, the true statements about the translation are: (2) and (3)

Read more about translation at:

https://brainly.com/question/11468584

Help two helpless triangles?

Answers

Answer:

see below

Step-by-step explanation:

Angle ACE = DCE since they are vertical angles

Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles

Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles

When all three angles are equal, the triangles are similar.

We can use ratios to find DE

DE         CE  

------- = ----------

AB           AC

DE         8

------- = ----------

12           10

Using cross products

10 DE = 8*12

10 DE = 96

Divide by 10

DE = 9.6

Answer:

1) they are similar by AAA postulate

2) 9.6 cm

Explanation:

Triangles CAB and CED are similar

because:

1) both have the same angle C

(vertically opposite angles)

2) Angle A = Angle E

(alternate angles)

3) Angle B = Angle D

(alternate angles)

CA/CE = AB/ED

10/8 = 12/DE

DE = 12 × 8/10

DE = 9.6 cm

Jeff has $20. He spent 1/8 of his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left?

A. $5.50
B. $7.00
C. $8.25
D. $9.50

Answers

Answer:

D. $9.50

Step-by-step explanation:

In total, Jeff spends 21/40 of his money. (1/8+2/5=21/40)

He has 19/40 left.

19/40*20=380/40=9.5

First, let's put 2/5 and 1/8 into similar fractions, in that they have the same denominator.

2/5 = 16/40

1/8 = 5/40

Then, we'll add the fractions together.

16/40 + 5/40 = 21/40

So, Jeff spent 21/40 of his money. We can set up a proportion to find the amount that Jeff spent.

x/20 = 21/40

420 = 40x

x = 10.50

Finally, we'll subtract the amount that Jeff spent from the original amount.

20 - 10.50 = 9.50

Jeff has D. $9.50 left.

Hope this helps!! :)

A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 3) and (4, 6).
The graph shows a linear relationship between the height and years of a plant’s growth. Find the rate of change. Select all that apply.
The rate of change of a linear function is always the same.
The rate of change of a linear function increases as the input increases.
The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.
The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Answers

Answer:

A, C, and D

Step-by-step explanation:

The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:

slope = [tex]\frac{6-3}{4-2} =\frac{3}{2}[/tex]

Thus, the slope is 3/2 = 1.5.

Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.

So, we can choose A, C, and D.

Hope this helps!

Answer:

The rate of change of a linear function is always the same.

The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Step-by-step explanation:

Slope = rate = (6 - 3)/(4 - 2) = 3/2

Slope of a straight line is constant hence the rate of change is also constant

Find the surface area of the figure.
A) 136 in2
B) 224 in2
C) 236 in2
D) 248 in2



worth 20 points

Answers

B, 224in2

It may get tedious but just find the area of each face and write them down

Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 30 feet and height of 1200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 10 inches. What scale is Alexander using?

Answers

Answer:

Step-by-step explanation:

First let's figure out the scale Alexander is using by relating the base in his drawing 10 in/3​000 ft = 1 in/300 ft

The scale for the drawing is 1 in:300 ft.

We know the actual Federal Triangle has a height of 1200 ft Let's use the scale to find the height of Alexander's triangle.

1200 ft times 1 in/300 ft = 4 in.

Alexander is using a scale of 1 in: 300 ft.His triangle has a height of 4 in.

The following data points represent the yearly salaries of high school cheerleading coaches in Dakota county (in thousands of dollars). 41 38 36 57 43

Answers

Answer:

5.6 thousand

Step-by-step explanation:

To find the mean absolute deviation (MAD), first find the mean (or average).

μ = (41 + 38 + 36 + 57 + 43) / 5

μ = 43

Next, subtract the mean from each value and take the absolute value.

|41 − 43| = 2

|38 − 43| = 5

|36 − 43| = 7

|57 − 43| = 14

|43 − 43| = 0

Sum the results and divide by the number of animals.

MAD = (2 + 5 + 7 + 14 + 0) / 5

MAD = 5.6

Answer:

43 thousand dollars

Paula and her dad went ice-fishing this winter. They caught 7 total fish, including 5 trout.
If on the last day of the trip, Paula randomly selected 4 fish to donate to fishermen who
hadn't caught any fish that day, what is the probability that all of them are trout?
Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

.7143

Step-by-step explanation:

there are 5 trouts so 5/7

Please help. Simplify cos(−0)cot(−0) / csc(0)

Answers

Answer:

C) cos²(theta)

Step-by-step explanation:

csc(X) = 1/sin(X)

cos(-X) = cos(X)

tan(-X) = -tan(X)

cot(-X) = -1/tan(X) = -cos(X)/sin(X)

[cos(X) × -cos(X)/sin(X)] ÷ -1/sin(X)

-cos²(X)/sin(X) × -sin(X)

cos²(X)

Carter made a scale drawing of a house and its lot. In real life, the backyard is 63 feet long. It is
21 inches long in the drawing. What scale did Carter use for the drawing?
1 inch :
feet

Answers

Answer: what is the question??

Step-by-step explanation:

Complete the factorization of 3r? – 10x + 8.

Answers

Would you do inverse operation ?

3a + b = 7
and
6x + 8y = 40
Show that 9a + 3b has a greater value than 3x + 4y
ANYONE HELP PLS

Answers

Answer:

3a + b = 7

6x + 8y = 40

9a + 3b is 3*(3a + b)  or 7*3 = 21

3x + 4y is (6x + 8y) /3 = 40 / 3 ≅ 13.3

So now we know that 9a + 3b = 21 and 3x + 4y = 13.3 which means that it is greater because 21 > 13.3

If x negative squared = 16, what is the value of x squared?
A. 1/16
B. 1/4
C. 2
D. 4
E. 12

Answers

Answer:

Step-by-step explanation:

[tex]x^{-2}=16\\\\\frac{1}{x^{2}}=16\\\\[/tex]

Cross multiplication,

[tex]1=16x^{2}\\\\\frac{1}{16}=x^{2}[/tex]

I think it a because 1over 16 can equal positive 16

Please please answer this correctly I have to finish this today as soon as possible

Answers

Answer:

Step-by-step explanation:

Look at where -2 is on the x-axis (the left side of the horizontal line), and go another half a box in, that is -2.5. But then go down one box from there, and plot the point. that is (-2.5,-1).

Next go half a box to the right and two boxes up, and plot your point there. that is (.5,2).

Frank wants to earn as many points as possible in one turn in a game. Two number cubes whose
sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points
are awarded in the turn.
OPTION A. If the sum of the rolls is a prime number, Frank receives 12 points
OPTION B. If the sum of the rolls is a multiple of 4. Frank receives 24 points
Which statement best explains the option he should choose?

Will give brainliest!!!

Answers

Answer:

Frank should choose Option B. The mathematical expectation of this option is 6 and is the greater mathematical expectation of the two options.

Step-by-step explanation:

Answer: If the sum of the rolls is a multiple of 4. Frank receives 24 points

Which statement best explains the option he should choose?

Step-by-step explanation:

Test

What is the mode of the following numbers?
3,5,6,7,9,6,8

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

In this set of numbers 6 is the number that is most often seen

Tree is 4.5 feet tall plum tree is 3/4 foot taller . How y’all is the plum tree

Answers

Answer:

7.875 (not sure what your unit is but include it here)

Step-by-step explanation:

3/4 of 4.5 is 3.375

3.375+4.5=7.875

Other Questions
North Carolina: 79.6 yearsOregon: 82 yearsDistrict Of Columbia: 77.9 years Nevada: 81.3 yearsNew York: 82.5 yearsColorado: 80.9 yearsAlaska: 74.9 yearsConnecticut: 82.7 yearsMontana: 74.1 yearsMississippi: 74.2 years please answer all questions to the best of your ability!! will rate brainliest!! thank you so much Find the accumulated value of an investment of $1,400 at 8% compounded quarterly for 4 years. Rachel recently started a new gift shop in town. When she is deciding how to price the new products in her shop, she measures the value of her products against those of the other shops in her area. Rachel is most likely using a _______ pricing strategy . Who has gotten the scholarship jacket in the past? The Scholarship Jacket What does the median represent in a set of numbers?A whatever number is in the middle of the list, regardless of the value of the numbersB the number that represents the middle value in the set of numbers Identify the spectator ions in this reaction:H+ + Br - + K+ + OH K+ + Br + H20Ht and K+Br- and OHKt and BrDONE A female rabbit had eight babies. Six of the babies were black and two were white. In rabbits, the allele for black fur (B) is dominant to the allele for white fur (b). What genotype in the mother and father rabbits could produce this outcome in the phenotypes of their offspring? Write a scientific explanation that explains the genotype of the female and male rabbits. Which of your cells have all of your DNA code? In the myth of the "Self-Made Man", what did business tycoons claim their success was simply the result of? What was the actual reality of how they became rich and influential? Explain and provide an example. Who in the United States advocated for Jewish refugees to be allowed into the country? Laws and Principles are not for the times when there is no temptation. They are for such moments as this, when body and soul rise in mutiny against their rigorIf at myconvenience, I might break them, what would be their worth?-Charlotte BronteAnalyze and explain the quotation Take a stance on the truth it espouses. Do you agree or disagree? Why? What is the universal truth? For the following set of data, find the sample standard deviation,to the nearest hundredth.34, 47, 16, 43, 73, 17, 56Summary: Imagine you are giving a speech. Write a potential specific purpose statement. Then identify three types of research that you would integrate in order to offer balanced and compelling support for your statement. A method currently used by doctors to screen women for possible breast cancer fails to detect cancer in 15% of women who actually have the disease. A new method has been developed that researchers hope will be able to detect cancer more accurately. A random sample of 70 women known to have breast cancer were screened using the new method. Of these, the new method failed to detect cancer in 8. Calculate the test statistic used by the researchers for the corresponding test of hypothesis. Benjamin believes that sexual behavior is largely the result of societal pressure. He finds that culture plays an important role in forming our sexual identity. With which of the following theories does Benjamins belief coincide? A biological theoriesB social constructionist theories C social exchange theories D psychoanalytic theories Find the total length of six sections when each section is 72.5mm in length Which phrase from the text provides the best clue to the meaning of the word ethics as it is used in paragraph 6? If a part represents 24% of a total then which of the following is the fraction of the total part this represents ?A. 7/20B.1/24C. 3/5D.6/25 A study is being conducted to compare the average training time for two groups of airport security personnel: those who work for the federal government and those employed by private security companies. From a random sample of 12 government-employed security personnel, average training time was 72 hours, with a sample standard deviation of 8 hours. In a random sample of 16 privately employed security personnel, training time was 65.4 hours, with a sample standard deviation of 12.3 hours. Assume that training time for each group is normally distributed. Use the following notations:1: The mean training time for the population of airport security personnelemployed by the federal government.2: The mean training time for the population of airport security personnelemployed by private security companies.The goal of the statistical analysis is to determine whether the sample data support the hypothesis that average training time for government-employed security personnel is higher than those employed by private security companies.1. What is the null hypothesis H0?Select one:a. 1- 2 02. What is the alternative hypothesis Ha?Select one:a. 1- 2 > 0b. 1- 2 = 0 Who did Vasco de Gama sail for?