how many roots does y=x2-6x+9 have

Answers

Answer 1

Answer:

One root ; x = 3

Step-by-step explanation:

( a ± b )² = a² ± 2ab + b²

~~~~~~~~~

y = x² - 6x + 9

x² - 6x + 9 = x² - 2(x)(3) + 3² = ( x - 3 )²

( x - 3 )² = 0 ⇒ x - 3 = 0 ⇒ x = 3

How Many Roots Does Y=x2-6x+9 Have

Related Questions

Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a green fabric.

How much fabric does Abdul need in order to cover 8 of these blocks?

Answers

Step-by-step explanation:

4cm×2cm×1/2=4cm³

4cm³×8=32cm³

I think the answer is 176

Step-by-step explanation:

please tell me if I'm wrong

Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long, for how many hours was Irwin riding?

Answers

Answer:

it’s C. 2.5

Step-by-step explanation:

Choose the number (X) that should come next in this series (1 4 9 16 X).

20
23
25
27

Answers

Answer:

25

Step-by-step explanation:

[tex]1^2=1\\\\2^2=4\\\\3^2 = 9\\\\4^2=16\\\\\text{So the next number should be}~ 5^2=25[/tex]

AA culture started with 4000 bacteria. after 5 hours it grew to 4800 bacteria. Predict how many bacteria will be present after 15 hours. Round your answer to the nearest whole number. p=ae^kt

Answers

Answer:

p = 6912 after 15 hoursp = 4000·e^(0.036463t)

Step-by-step explanation:

We want to model the growth of a population of bacteria using an exponential function. We find it convenient to use an "exact" exponential function that relies directly on the numbers given in the problem statement. That function has the form ...

  p(t) = (initial population) × (growth factor)^(t/(growth period))

where the "growth factor" is the multiplying factor of the population in period "growth period."

__

Exponential Function (1)

Here, the "growth factor" is 4800/4000 = 1.2, and the corresponding "growth period" is 5 hours. Then the population function can be ...

  p(t) = 4000×1.2^(t/5)

__

Population

The population after 15 hours is ...

  p(15) = 4000×1.2^(15/3) = 4000×1.728

  p(15) = 6912

__

Exponential Function (2)

To change this to the form ae^(kt), we find the value of k to be ...

  k = ln(1.2^(1/5)) = ln(1.2)/5 ≈ 0.036463

Then the desired form of the function for p is ...

  p(t) = 4000·e^(0.036463t)

_____

Additional comment

In the form p=ae^(kt) the value of k is often rounded to 3 or 4 decimal places. We believe that best accuracy is obtained if k has at least the number of significant digits expected in the answer. Here, the population of almost 7000 has 4 significant digits, so we choose to express k to 5 significant figures. That still gives a small error relative to the first formula that is only "corrected" by rounding the result to an integer.

According to the labor statistics document, which educational level has the highest median
income?

Answers

The doctoral degree educational level has the highest median income

What are educational level?

Education level refers to the years of formal instruction received and successfully completed.

From research in 2017 for those with the highest levels of educational level (doctoral and professional degrees) income is more than triple those with the lowest level (high school diploma)

Find out more on educational level at: https://brainly.com/question/2987151

Answer: Bachelor's Degree, and Male

Step-by-step explanation:

Consider the rectangle with width 4 ft and length 18 ft, write a ratio of the length to the width.

Answers

Answer: 18:4

Step-by-step explanation:

Ez

Answer:

9 : 2

Step-by-step explanation:

length : Width = 18 : 4

                       [tex]\sf = \dfrac{18 \ \div \ 2}{4 \ \div \ 2}\\\\=\dfrac{9}{2}[/tex]

                       = 9 : 2

i am confused please help

Answers

Answer:

volume = lenght x width x height

v= 12x20x14

v=3,360 in³

what is equivalent to 2
x
2

7
x

3
=
0

Answers

Answer:

I'm confused with this, I dont understand what you are asking.

Step-by-step explanation:

2 is equivalent with a lot of things,

1+1

3-1

92-90

7×7-47

4÷2

the list goes on...

9. If triangle GFE - triangle GHJ, find the value of x.

Answers

Answer:

2

Step-by-step explanation:

→ Find the scale factor

12 ÷ 7.5 = 1.6

→ Form an equation

x + 6 = 1.6 ( 2x+ 1 )

→ Solve

x = 2

The circumference of a circle is 62.8 centimeters. What is the circle's radius?
C=62.8 cm
Use 3.14 for ​.
centimeters

Answers

Hello!

To solve this exercise, we must use the formula below:

[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]

C = 62.8cmπ = 3.14r = ?

Knowing these values, let's replace them in the formula to obtain r:

[tex]\mathrm{62.8=2\cdot\ 3.14\cdot r}\\\mathrm{62.8=6.28r}\\\mathrm{6.28r=62.8}\\\\\mathrm{r=\dfrac{62.8}{6.28}}\\\\\boxed{\mathrm{r=10}}[/tex]

So, the radius of this circle is 10cm.

Hope this helps!

Under a dilation, the point (2, 6) is moved to (6, 18).
What is the scale factor of the dilation?
Enter your answer in the box.

Answer quick please !!!

Answers

Answer:

3

Step-by-step explanation:

Answer: The correct answer is 3

Step-by-step explanation:

:) it should be correct have a good day!

Z
77°
P
W
X
What is the measure of arc XWZ?
OA
257°
O B. 1039
O C. 206°
O D. 1543

Answers

The answer is B.103 degrees

find the equation (in the terms of x) of the line through the points (-2,-5) and (5,0)

Answers

Answer:

-5x+7y+25=0

Step-by-step explanation:

vecto AB= (7;5)

vecto n = (-5;7)

line through the points (-2;5) and (5;0) :

-5*(x+2)+7*(y+5)=0

-5x+7y+25=0

5th root of 0.06
please I need fast only answer ​

Answers

Answer: 0.56967905

Steps:
Raise 0.06 to the power of 1/5

0.56967905

In the past year, Jose watched 32 movies that he thought were very good. He watched 80 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?

Answers

Answer:

40%

Step-by-step explanation:

Givens and Formula

% Good = (number good / total number) * 100

% Good = ?

Number Good = 32

Total Number = 80

Solution

% Good = (32 / 80) * 100

% Good = 2/5 * 100

% Good = 40%

Which of the following expressions does NOT represent
91 +91 + 91?
O 91(3)
O 91.3
O (91)(3)
0913

Answers

Answer:

91.3 and 0913

Step-by-step explanation:

91 + 91 + 91 is an expression that can be simplified into a multiplication problem, because there is a number being added by itself a certain amount of times. So we have to look for a multiplication problems within our answers.

Leading us up to 91(3) and (91)(3), these are both examples of multiplcation.

91.3 would happen if you were adding .3 to 91

And 0913 would happen if you added 91 and 822

Solve each of the following equations. Show its solution set on a number line. Check your answers. 7m+4=1
PLS HELP WILL GIVE BRAINLIEST

Answers

M=-3/7


Subtract 4 from both sides 7m+4-4=1-4
7m=-3
Divide both sides by 7
7/7m =-3/7
M=-3/7

Answer:

x=-3/7;x=-5/7

Step-by-step explanation:

Help help help ASAP help

Answers

Answer:

(8, -2)

Step-by-step explanation:

While reflection over x-axis, the x-coordinate remains the same  and the y-coordinate changes to it's opposite.

So,

Rx-axis =>  = (8, -2)

Question 3 of 5
The cylindrical part of an architectural column has a height of 295 cm and a
diameter of 30 cm. Find the volume of the cylindrical part of the column. Use
3.14 for it and round your answer to the nearest cubic centimeter if needed.
30 cm
-I
295 cm
O A. 833,670 cm3
OB. 208,418 cm
O C. 27,789 cm3
O D. 29,217 cm

Answers

The answer is B.208,418cm

linear exponential function

y=5.3×​

Answers

Answer:

y=5x

which means 3 will be dedicated to 5

so 5=3y

Pharmaceutical scientists tested the effectiveness of a new drug designed to cure malaria. They randomly
assigned 400 infected lab rats to receive either the new drug or an existing drug and recorded how many
rats were cured at the end of the study. Here are their results:
Cured
Not
Total
New drug
176
24
200
Existing drug
168
32
200
They want to use these results to construct a 99% confidence interval to estimate the difference in the
proportion of these rats that would be cured under each drug (new - existing). Assume that all of the
conditions for inference have been met.
Which of the following is a correct 99% confidence interval based on their data?
Choose 1 answer:
8 +0.068

Answers

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval is (-0.049, 0.129).

What is the mean and the standard error for the distribution of differences?

For each sample, we have that:

[tex]p_N = \frac{176}{200} = 0.88, s_N = \sqrt{\frac{0.88(0.12)}{200}} = 0.023[/tex]

[tex]p_E = \frac{168}{200} = 0.84, s_E = \sqrt{\frac{0.84(0.16)}{200}} = 0.0259[/tex]

Hence, for the distribution of differences, the mean and the standard error are given as follows:

[tex]p = p_N - p_E = 0.88 - 0.84 = 0.04[/tex]

[tex]s = \sqrt{s_N^2 + s_E^2} = \sqrt{0.023^2 + 0.0259^2} = 0.0346[/tex]

What is the confidence interval?

It is given by:

[tex]p \pm zs[/tex]

99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

Then:

[tex]p - zs = 0.04 - 2.575(0.0346) = -0.049[/tex]

[tex]p + zs = 0.04 + 2.575(0.0346) = 0.129[/tex]

The 99% confidence interval is (-0.049, 0.129).

To learn more about the z-distribution, you can check https://brainly.com/question/25890103

Answer: 0.04, 0.089

Step-by-step explanation:

Jerry poured water to a height of 1 feet into a
new aquarium with dimensions shown below.
2 ft.
1 ft.
Water
2
3 ft.
One cubic foot of water weighs approximately
62 pounds. What is the weight of the water that
Jerry put in the aquarium?
B. 465 pounds
A. 403 pounds
C. 558 pounds
D. 744 pounds

Answers

Since 1 cubic feet = 62 pounds, the weight of the water that Jerry put in the aquarium is 558 pounds

How to calculate the volume/weight of water

We have to find the volume of water in the aquarium.

Recall the shape of the aquarium is a rectangular prism. Therefore,

volume = lwh

where

l = lengthw = widthh  = height

Therefore,

l = 3 ft

w = 2 ft

h = 1.5 ft

volume =  3 × 2 × 1.5

volume of water = 9 ft³

Therefore,

1 ft³= 62 pounds

9 ft³ = ?

cross multiply

weight of water = 9 × 62

weight of water = 558 pounds

learn more on volume here:https://brainly.com/question/24357711

A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is represented below using d for the dollars that person raises and w for the miles that person walks. Select all the representations that can be described by the equation d = 2w.

Answers

Answer:

B, C, E

Step-by-step explanation:

According to coordinates on the graphs and numbers in the tables we have the following relationship:

A) d = 1/2wB) d = 2wC) d = 2wD) d is not proportional with w since 12/6  ≠ 18/10  ≠ 20/12E) d = 2w

As we see B, C and E have same relationship, matching the target.

Step-by-step explanation:

hope it's help you this answer

A rectangular prism has a length of 20 meters, a height of 12 meters,
and a width of 12 meters. What is its volume, in cubic meters?

Answers

Answer:

2880 cubic meters.

Step-by-step explanation:

To find the area of a rectangular prism, multiply the length width and height.
20*12*12=144*20=2880

The volume of the Rectangular Prism is 2880 cubic meters.

What is Rectangular Prism?

Rectangular prism can be defined as a" 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid".

According to the question,

Length of the rectangular prism = 20 meters

Height of the rectangular prism = 12 meters

Width of the rectangular prism = 12 meters

Formula for Rectangular Prism = length × breadth × height

= 20 × 12 × 12

= 2880 cubic meters.

Hence, the volume of the Rectangular Prism is 2880 cubic meters.

Learn more about Rectangular Prism here

https://brainly.com/question/22539378

#SPJ2

Q. 1. Solve for x using determinants, x + y = 9, x - y + 3z = 2 and 4y - 32 - 5 = 0.​

Answers

Hello!

x + y = 9,

x=  9-y

x - y + 3z = 2

x= 2+y -3z

4y - 32 - 5 = 0.​

4y = 32+5

4y = 37

y = 37/4

7*8/10 product lies between what numbers

Answers

Answer:

5 and 6.

Step-by-step explanation:

7*8 is 56. 56 divided by 10 is 5 6/10

Choose an appropriate metric unit for the mass of bowling ball
A)
kilogram
B)
milligram
C)
meter
D)
gram

Answers

Answer:

i think that the correct answer would  A

Step-by-step explanation:

hope this helps

Simplify sin^2x+sin^2x+tan^2x

Answers

Answer:

Step-by-step explanation:

Sonya took out a mortgage of $65,000 at 7% for 25 years. What is the cost of the mortgage?

Answers

The cost of the mortgage is $81250

What are interests?


Interests are percentages of a principal

Given the following parameters

Principal = $65000

Rate = 7% = 0.07
Time = 5 years

Calculate the interest

I = PRT/100
I = 65000*0.07*25
I = 16,250

Determine the cost of the mortgage

Cost of mortgage = Principal + Interest

Cost of mortgage = 65000 + 16250
Cost of mortgage = 81,250

Hence the cost of the mortgage is $81250

Learn more on mortgage here: https://brainly.com/question/22846480

Answer:

$72,823

Step-by-step explanation:

just took test

Drag each expression to its equivalent.

Answers

Answer:

5x+4=2x+3-x+1+4x

7x=3+2x+4+5x-7

2x+3=8+10x-8x-5

2x+3-x+1+4x = 5x+4  and 7x-5-2x+9 = 5x +4

3+2x+4+5x-7 = 7x and  x-1+2x+2+4x-1 = 7x

3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3

These are the equivalent expressions.

What is an expression?

It is a sentence with a minimum of two numbers or variables and at least one math operation.

Given expression can be solved like:

1. 2x+3-x+1+4x = 5x+4

Which is same as the first option.

2. 7x-5-2x+9 = 5x +4

Which is same as the first option.

3. 8+10x-8x-5 = 2x+3

Which is same as the third option.

4. 3+2x+4+5x-7 = 7x

Which is same as the second option.

5. x-1+2x+2+4x-1 = 7x

Which is same as the second option.  

6. 4x+6-2x-3=2x+3

Which is same as the third option.

Hence, the equivalent options are :

2x+3-x+1+4x = 5x+4  and 7x-5-2x+9 = 5x +4

3+2x+4+5x-7 = 7x and  x-1+2x+2+4x-1 = 7x

3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3

To learn more about expression, use the link given below:

https://brainly.com/question/14083225

#SPJ2

Other Questions
please Show the algebraic work steps thank you Which inequality can be used to find how many $1.25 snack packs can be purchased for $10.00? Which term works best as a title for the list??Is a factor of productionRefers to natural resourcesIncludes trees, oil, and saltA. LaborB. LandC. CapitalD. Entrepreneur Question Help8.6.PS-13A circular plate has circumference 28.3 inches. What is the area of this plate? Use 3.14 for it.The area of this plate is about square inches.(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearestthousandth as needed.) How did the counterculture movement affect the nation?. Encoding in the information processing theory is the process of _____ Who has consumed the least amount of alcohol in one hour What is the result when you combine only the constants in the following expression?3a-6b+3-7a+ 10 I need to know what some of the words mean write a statement about this paragraph On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?An isosceles trapezoid with a top side 12 inches long and a longer bottom side. The height is 13 inches. The base of the triangle formed from the height on the right is labeled 2 inches.A. 156 square inchesB. 182 square inchesC. 208 square inchesD. 364 square inches Technician A says that that a box-end wrench is more likely to round the head of a bolt than an open-end wrench. Technician B says that 6-point sockets and wrenches have more surface area on a bolt and will hold more firmly when removing and tightening. Who is correct? a. Technician A b. Technician B c. Both A and B d. neither A nor B I need the answer so I don't fail my test. The exponential function f(x) has a positive coefficient, a base of 0.6, and a horizontal asymptote at y = 3. If g(x) = 2(x - 3), which statement is true? A. The function f(x) represents exponential growth, and the function g(x) represents exponential decay. B. The function f(x) represents exponential decay, and the function g(x) represents exponential growth. C. The functions f(x) and g(x) both represent exponential growth. D. The functions f(x) and g(x) both represent exponential decay. How much did the first cell phone weigh? One pound Two pounds Three pounds Four pounds5. Bobs rectangular TV is 40 inches wide and 30 inches high. What is the length of the diagonal of Bobs TV?a.35 in.b.45 in.c.50 in.d.70 in. Find the value of each variable in the parallelogram. My sister and I were looking for a snack. Way in the back of the refrigerator, I spotted two of our favorite yogurts. Perfect! When I pulled them out, I noticed the wrapper edges were frayed. It looked like they may have been there a while, and one of the containers was smashed in. My sister didnt care and was already running for a spoon. Careful, I said, Where there is smoke theres fire. These yogurts look kind of funny. And I cant even read the expiration date.You just want them for yourself, she said, as she ripped off the wrapper. Yikes! she yelled, and we both held our noses.What is the meaning of the adage in the paragraph?A.If something looks wrong, then it probably is wrong.B.Greediness is an unattractive quality.C.Pay attention to the advice of those who know better. D.It is not wise to make hasty decisions. Ellas test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean test score of 90? describe the major constraint inherent in the presentation of accounting information Hummus is a dip made from chickpeas. hummus is a middle eastern dip. hummus can be made at home easily. hummus has become a popular food in many countries.combine the sentences into one sentence.