Complete the square of x^2-2x+17

Answers

Answer 1

Answer:

(x - 1)² + 16

Step-by-step explanation:

x² - 2x + 17 = 0

Subtract 17 from both sides of the equation.

x² - 2x = -17

Use the formula (b/2)² to see which number you have to add to both sides.

(-2/2)² = 1

Add 1 to both sides of the equation.

x² - 2x + 1 = -17 + 1

Factor the left side of the equation into a perfect square.

(x - 1)² = -16

Add 16 to both sides of the equation.

(x - 1)² + 16

(x - 1)² + 16 is the equation in standard form (x² - 2x + 17) rewritten by completing the square.


Related Questions

What is the percent decrease from 20 to 11?​

Answers

Answer:

The decrease from 20 to 11 is 9, and that is 45% of 20.

Hope this helps!

It should be 9, sorry if it’s wrong tho

Write the equation in slope-intercept form: 2x + y =3
y= 2x + 3
y= -2x -2
y= -2x + 3
y= 2x-3

Answers

it is y=-2x+3 because once you take the 2x to the other side it becomes negative.

Which table represents the function?

Answers

D because they all increase by the same number (+1)
The answer is DDDDDD

what dose -0.1c = -10 equal

Answers

C=100

-10/-0.1= 100
C=100

Help please!!

Rogelio has $34 and he wants to buy a jacket for $75. He works with
his uncle on the weekends for $8 an hour.
Which inequality represents the number of hours (h) Rogelio could
work to earn at least enough money to buy the jeans?

Answers

The answer to this problem is B

HELP NEED THIS FOR A TEST!!! 20 POINTS!!

Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when remaining fuel is 1.5 gallons or less.

Answers

Answer:

a.

capacity of car = 14 gallons

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons

fuel remaining in car = 14 - 8.4 = 5.6 gallons

so they can drive the car without warning.

b.

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 25 days = 25 x 0.6 = 15 gallons

fuel remaining in car = 14 - 15 = -1 gallons

so they can't drive the car without warning.

c.

the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.

d.

14 - 0.6t = 1.5

or - 0.6t = 1.5 - 14 = - 12.5

or t = -12.5 / - 0.6

or t = 20.8333 days

so he can drive 20 days without warning.                                                                                         E.

14 - 0.6t < 1.5

or t < 20.8333

here t represents number of days car can drive without warning light.

Step-by-step explanation:

The inequality is  

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

14 gallons-1.5 gallons=12.5 gallons  

we know that

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on  

so

Let

x ----> the number of days

 ----> inequality that represent the situation

Solve for x

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

Linda made $228 for 12 hours of work. At the same rate, how many hours would she have to work to make $133?​

Answers

Step-by-step explanation:

228 ÷12 =19

So 19 dollars per hour

Now 133÷19= 7 hours

Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.

y = 82 ( 1.045 ) x

What is the rate of growth Michael expects each week after launching the website?

A. 104.5%
B. 95.5%
C. 4.5%
D. 0.045%

Answers

Answer:

Michael starts a website for people in his town to share news and photos.  Before launching the website, he has his friends and family sign up.  Then, he uses the equation shown below to estimate the number of user, y, who will have signed up x weeks after he officially launches the website.

y = 82(1.045)x

What is the rate of growth Michael expects each week after launching the website?

The answer will be %0.045

Step-by-step explanation:

The rate of growth Michael expects each week after launching the website is 4.5%.

Given that,

The function is y = 82 (1.045)x.We need to find the rate of growth.

Based on the above information, the calculation is as follows:

Since 1.045 is given so this means 4.5% is the growth rate.

Therefore we can conclude that the rate of growth Michael expects each week after launching the website is 4.5%.

Learn more: brainly.com/question/16115373


I need help with the bottom part I know the top parr

Answers

You used distributive property because when there’s parentheses in a equation you need to distribute the number outside of the parentheses

Of 120 owners of reptiles surveyed, 27 own snakes as pets. What percent of
the reptile owners own snakes as pets?

Answers

Answer:

22.5%

Step-by-step explanation:

PLEASE HELP ASAP
find JL

Answers

Answer:

7

Step-by-step explanation:

hi i would rly appreciate ur help on this. I need to write these expressions as products:
1. ((a+1)^3)+(x^3)
2. ((y-2)^3)-27
3.((a-b)^3)+b^3
4. (8x^3)+((x-y)^3)
5. (27a^3)-((a-b)^3)
Thank you so much i rly appreciate it

Answers

Answer:

1.)   ((a+1)^3)+(x^3)  = a^3 + 3a^2 + 3a + x^3 + 1

2.)  ((y-2)^3)-27  =   (y^2-y + 7) x ( y - 5 )

3.)   ((a-b)^3)+b^3  = a (a^2 - 3ab + 3b^2 )

4.)   (8x^3)+((x-y)^3)  =  9x^3 -3x^2 y + 3xy^2 - y^3

5.)   (27a^3)-((a-b)^3) = 26a^3 + 3a^2 b - 3ab^2 + b^3

5) factor = (a+b)(a+b)^ 2    if a is squared and if b is cubed and moved over to = 0 then we can find (a+b)(a+b)^2 but in all cases of quadratics you can set (x -1 ) = 1 and (x-1 ) = 1  so they are always positive. Which is the same if they start of negative.

For question 5 we have a factor solved (a+b)(a+b)^ 2

Which means the same as this expansion

(

To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?


A. 10mm/1cm = x/140mm
B. 1cm/10mm = 12.5cm/x
C. 10mm/1cm = 140mm/x
D. 12.5mm/1cm = 140mm/x

Answers

The answer is The one option C

A Ferris wheel 72 feet in diameter makes one revolution every 122 sec. The center of the wheel is 50 feet above the ground. Let’s assume the passengers start the ride at time t = 0 seconds at the lowest point on the ride. Consider the periodic function that models the height of a passenger on the Ferris wheel over time

Answers

Answer:

122

Step-by-step explanation:

122x1

wait no....

answer: 72x122

Find the number of possible outcomes. A coffee shop offers small, medium, and large sizes. Customers can choose between French roast, Italian roast, and American roast

PLS HELP! ASAP!!!

Answers

Answer:

9

3 different sizes times 3 different flavors.

3x3=9

What is the image point of (2, 4) after a translation left 4 units and
down 1 unit?

Answers

(-2,3) should be the point

What's the distance between -19 and 82?

Answers

I think its 101 maybe

Answer:

101

Step-by-step explanation:

Identify the Slope and y - intercept with this given equation y = 3x + 4

Answers

Slope: 3
y-intercept: (0,4)

Answer:

Slope =3

Y- intercept =(0,-4)

Step-by-step explanation:

Which statement is true about a trend line?
A regression line and a trend line our opposite terms.
A regression line and trend wine are equivalent terms.
A trend line represents only the smallest data points.
A trend line represents only the largest data points.

Answers

The answer is a if it’s not a I’m sorry but I love you

Answer:

I would say the answer is D.

Step-by-step explanation:

A trend line shows the trend ( the average) so it would use the largest data points.

The diagram below shows a banquet hall’s plans to install a new dance floor.

What is the area of the new dance floor in square feet?

Answers

Answer:

333 ft squared

Step-by-step explanation:

18 x 18.5 = 333

using the coordinate plane what is the equation for the line on the graph?

Answers

3/2 is the correct answer for your problem

If (44)x = 432, what is the value of xIf (44)x = 432, what is the value of x?

4
7
8
28

Answers

Answer:

x = 8

Step-by-step explanation:

44x = 432

divide both sides by 44

[tex]\frac{44x}{44} = \frac{432}{44}[/tex]

x = 9.8

since 8 is the closest number, that would be your answer

Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.

Answers

9514 1404 393

Answer:

ΔABC ~ ΔPQRPQ = 8PR = 14

Step-by-step explanation:

Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...

  ΔABC ~ ΔPQR by AA similarity

__

The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.

  PQ = 2·AB = 2·4 = 8

  PR = 2·AC = 2·7 = 14

The side lengths of interest are ...

  PQ = 8, PR = 14

please help its due tomorrow!!

Answers

If you can give me a few minutes I should have it done

Write an equation of the line that passes through the given point and has the given slope.
(4, 3); slope 1/2

Answers

Answer:

y = 1/2x + 1

Step-by-step explanation:

m = 1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 1/2(x - 4)

y - 3 = 1/2x - 2

y = 1/2x + 1

pls halp
Which of the following would be the correct formula for determining the volume of the cone shown below?

Answers

1/3 (4^2) 5 = V (the first one!)

Which is the equation of a line with a slope of -1 and a y-intercept of -6?
A y = -6x - 1
B y = -x - 6
C y = x - 5
D y = x + 6

Answers

I say A, because of it both being negative & having a y intercept .

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 1 and c = - 6 , then

y = - x - 6 → B

Which of the following best describes the diagonal cross-section of a basketball?

Rectangle
Circle
Triangle
Square

Answers

Answer:

circle

Step-by-step explanation:

the answer is circle!!!

The diagonal cross-section of a basketball  is Circle.

What is diagonal cross-section of sphere?

When a plane cuts a sphere from any point on it, we get a circle. The size of the cross section may vary depending on the point of intersection of plane and sphere. If the plane passed through the center of sphere, then it divides the sphere into two equal parts (i.e. hemisphere).

According to the question

The diagonal cross-section of a basketball

as basketball is sphere in shape

And , The diagonal cross-section of a sphere  is Circle.

Hence, The diagonal cross-section of a basketball  is Circle.

To know more about diagonal cross-section here:

https://brainly.com/question/2515278

#SPJ2

You told your friend that you could eat 3/5 of a large pizza. If you only ate 1/2 of what you said you could eat, what fraction of a large pizza did you eat?

Answers

Answer:

3/10

Step-by-step explanation:

3/5 is equal to 6/10, and half of 6/10 is 3/10

Answer:

3/10

Step-by-step explanation:

Amount of pizza u told= 3/5

Amout u could eat of  wht u told = 1/2

Amount u could eat of pizza = 3/5 x 1/2 = 3/10

(calculation attached below)

I hope im right!!

Giving brainliest!!!Please help.. :(

Select the statement that describes this expression: 5 x (3 + 4) − 4.

A) 5 times the sum of 3 and 4, then subtract 4
B) 5 times 3 plus 4 minus 4
C) 5 more than the sum of 3 and 4, and then subtract 4
D) 5 times 3 plus the difference of 3 and 4

Answers

A is the answer 5 times the sum of 3 and 4 then subtract 4

Answer:

A

Step-by-step explanation:

A the anser is A deal with it...

Other Questions
Go to this link and see the questionshttps://notability.com/n/0VEui_AKpDsNqlETXnHfPHThis is actually for choir class so. I know no ones is gonna see this, but I'm desperate and I'm just overall done with my day. But ill give it a shot, please help me solve this. Part A: Larry earned $11 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Larry has earned Saturday and Sunday.Part B: Larry was able to walk 4 more than twice as many dogs as his friend Kyle. Write an algebraic expression to represent the number of dogs Larry walked compared with Kyle. carl bought a circular cake and ate 1/5 of it on monday and 0.25 on Tuesday what percent of the cake has carl not eaten yet Tu amigo te enva una solucin!Comprubala ahora en Qanda!https://qandashare.page.link/6TWWLjokwagHC8fy6 lucia and quinn train for a bike race. lucia bikes 46 miles in 240 minutes. quinn bikes 51 miles in 5 hours. Who bikes at a faster rate? Show your work. Which option describes the grade of beef most appropriate for the following scenario?Cassle and Peter are celebrating Peter's promotion with an elegant dinner party for their friends. They plan to servechampagne, lobster bisque, Caesar salad, sorbet, and steak, followed by Baked Alaska for dessert.ChoiceO PrimeSelectStandardNEED HELP NOW!!!!!!!!!!!!!!! PLZ HELP Which of the following BEST describes the relationship between variations and adaptations? A all variations are adaptations, but not all adaptations come from variations B variations result from adaptations organisms make to the environment C. variations are adaptations only if they help organisms survive D. all adaptations are variations and all variations help organisms survive In Wuthering Heights, what would have Cathy and Heathcliff's marriage been like if they had managed to marry? Explore the role rhetoric plays in James Green's "Equal Pay Bill Has a Serious Downside." First, define rhetoric and describe its components. Then discuss whether Green's argument uses effective or ineffective rhetoric to persuade readers in his letter. Support your evaluation with examples. (15 points) barium can be analyzed by precipitating it as BaSO4 and determining the mass of the precipitate. When 0.269 g sample of barium compound was treated with excess H2SO4, 0.0891g BaSO4 formed. what percentage of Barium is in the compound? how did the rights argument of the Civil War and the ways in which this war did expand states rights? Cereal costs $2 per box. How many boxes did Joe buy if she spent $6? [x = 4y+7|2x - 6y = 12What are x and y Which is a primary energy source used by power plants to generate electricity?coalO woodo gasolinebatteries WILL MARK BRAINLIEST IF CORRECT TYYY!! What is the theme in the comic "Government is Watching"?Part 1.If satire is supposed to make us think about the bigger issues in life, not just make us laugh, then what is the issue or message or UNIVERSAL THEME that the comic is trying to convey.Part 2:Now write it as a claim statement. Prompt: What is the theme in the comic Government is Watching? (Urgent) Worth 10 points 7.3 PLEASE HELP will give right answer brainiest If mT = (2x + 85) , mV = (5x + 29) , and the sum of the measures of the angles is 93 , find the measure of each angle. find the 9th term of the geometric sequence 2, -10 50 -250