Rewrite the function by completing the square. f(x)=x^2−2x+17

Answers

Answer 1

Answer:

[tex]f(x) = {x}^{2} - 2x + 17 \\ completing \: squares \\ divide \: the \: sum \: by \: 2 \: and \: the \: result \: to \: the \: {x}^{2} and \: subtract \: it \: from \: the \: product \\ in \: this \: case. \: our \: sum \: is \: 2 \\ f(x) = ({x}^{2} \times \frac{2}{2} ) + (17 - \frac{2}{2} ) \\ f(x) = {(x + 1)}^{2} + (17 - 1) \\ f(x) = {(x + 1)}^{2} + 16[/tex]


Related Questions

One out of every 4 students in a club is a girl. There are 20 students in the club. How many girls are in the club? Explain how you know

Answers

Answer:

5 girls because 1/4 times 20 is 20/4 which gets 5

Step-by-step explanation:

because 1/4 times 20 is 20/4 which gets 5

12. If f"(x) = x(x + 1)(x - 2)2, then the graph of f has inflection points when x =
A.-1only
B. 2only
C.-1 and 0only
D.-1 and 2 only
E. -1,0 and 2 only

Answers

Answer:

C. - 1 and 0 only

Step-by-step explanation:

(x + 1) / x = 0, - 1, 2

inflection points / when sign Changes

+  /   -   /  +       /  +

"- 1 "   "0"      2

  ^      ^

"Hope this helps"

The graph of f has inflection points when x = 0 and -1.

Given that,

If graph =  f"(x) = x(x + 1)(x - 2)^2

We have to determine,

The graph of f has inflection point when x is.

According to the question,

Inflection point is the point in which the rate of slope changes in increasing to decreasing order or vice versa.

These points are generally not local maxima or minima but stationary points.

[tex]f''(x) = 0[/tex]

Therefore,

The graph of f has inflection point at,

[tex]f''(x) = x (x+1) (x-2)^{2} = 0\\\\x = 0 \ and \ x+1 = 0 \ \ = x = -1\\\\ or \ x-2 = 0 , \\\ \ \ = x =2[/tex]

On taking intersection of these points,

The graph has inflection points at x = 0 and -1.

Hence, The graph of f has inflection points when x = 0 and -1.

To know more about Inflection points click the link given below.

https://brainly.com/question/2289668

What is the Factor: 24x - 60

Answers

the answer is
12(2x-5)
good luckk
i hope i could help

find the measusre of the angles.

Answers

Answer:

1, 3, 5 =117

2, 4, 6, 7= 63

Step-by-step explanation:

Since we know that one angle is 117 degrees, 5, 1 and 3 will also be 117. 2, 4, 6 and 7 will also be the same. 117 plus 117 is 234. 63 + 63 = 126. 234+ 126 = 360.

You invested $1,000 in a savings account at the end of 7th grade. The account pays 5% annual interest. How much money will be in the account after 6 years? Round to the nearest hundredth. * 1 point

Answers

Step-by-step explanation:

1000 x .05= 50.

1000 + 50= 1050

1050 x 6= 6300

A restaurant has 100 tables and 28 of the tables seat 2 people and 72 of the tables seat 4. What percentage of the tables seat 4 people?

Answers

The percentage would be 72.

What is the equation in point−slope form of the line passing through (−3, −4) and (0, 2)?
Use the table below to answer this question:

x y
0
2
1
−1
2
−6
Find the average rate of change for the given function from x = 0 to x = 2.

Answers

Answer:

The answer is A

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!11

Cecilia records the weight change in her cat over 2 weeks. What number does she record as the total weight change for her cat?

LOOK AT THE ATTACHED PICTURE

Answers

Answer:

1 over 16

Step-by-step explanation:

Select the procedure that can be used to show the converse of the Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet

Answers

Answer: B

Step-by-step explanation:

I got it on Aprx

The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle. Then the correct option is B.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet.

Then

5² = 3² + 4²

25 = 9 + 16

25 = 25

The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle.

Then the correct option is B.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Is it the 1st one. I’m not to sure.

Answers

Answer:

Yes, it's the first one

Step-by-step explanation:

Since the number line is from 0 to 1 and it's divided into 6 sections, the correct answer is 1

Please help me with this Its kind of frustrating

Answers

Answer:

you have too see what makes 36, 42 ,48 and 27

Step-by-step explanation:

Aubrey is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $4 each. How much total money would Aubrey have to pay for her family if she were to buy 3 snacks for everybody to share? How much would Aubrey have to pay if she bought x snacks for everybody to share?

Answers

Answer:

$51

Step-by-step explanation:

do 13*3 because of the 2 kids and the adult then add 12 because of the snacks

hope this helps

Answer:

51 and what?

Step-by-step explanation:

3 x 13 = 39                  4 x 3 = 12

39 + 12 = 51

what is x supposed to be, sorry, i suck at variables

1+1=? HHHHHHELP!!!!!!!

Answers

Answer:

2,thanks,for the points

The starting annual salary for an office worker at a company is $29,000. If the company
awards an annual increase of 6.2%, which graph models this situation after the office worker
receives x annual increases?
Office Worker's Salary

Answers

Answer:

On my screen the answer would be A

Step-by-step explanation:

but it could be different for u but I found the answer on Quizizz picture down below

The graph models this situation after the office worker receives x annual increases is to be considered as an option A.

Calculation of the graph model;

Since

The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%.

So, based on the given graph we can say that The graph models this situation after the office worker receives x annual increases is to be considered as an option A.

Learn more about graph here: https://brainly.com/question/24613103

What is the solution to the system of equations? =6x=y=8 5x+3y = 29 (10,-2) (10, 2) O (2, 10) (-2, 10)​

Answers

Its the 2nd one in the picture


Select ALL the correct answers,

Select the scenarios that correctly represent the given graph

1. The amount of money in an account decreases for a few months and then increases.
2. The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.
3. The sale of a product increases at first and then decreases.
4. The radioactivity of a substance decreases by 10% every year.
5. The speed of a car increases constantly by 10 miles per hour.

Answers

Answer :

Option (2) and Option (3) is the correct answer .

Required Explaination :

Scenario 2 : The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.

The graph of this scenario is a downward parabola. Therefore option 2 is correct.

Scenario 3 : The sale of product increases at first and then decreases.

The graph of this scenario is a downward parabola. Therefore option 3 is correct.

Therefore, the correct options are 2 and 3.

help please, don’t guess or don’t answer if you don’t know it

Answers

the answer to this is (-3,-5)

If d= 2, what is the value of 8/(4-d)? A.1
B. 4/3
C. 4
D. 0​

Answers

8/ (4-2)
8/2
Answer 4 (C)

It’s in the picture please and thank you ^*

Answers

Answer:

38 degrees

Step-by-step explanation:

3x+2x+15+95+60=360

the sum of the angles of a quadrileteral=360

5x+170=360

5x=360-170

5x=190

x=190/5

x=38 degrees

Could somebody pls help me with this question

Answers

simplify to 1 hour which will be 6 minutes in 1 hour

in 3 hours it will be 18 minutes

Answer:

18 minutes is the answer

Step-by-step explanation:

•Time couple rested in 2 hrs = 12 min

•Time couple rested in 1 hr = 12/ 2 min = 6min

•Time couple rested in 3 hrs = 6×3 min = 18 min

HOPE IT HELPS YOU

MARK ME AS BRAINIEST

AND YOU CSN THANK ME IN THE COMMENT

Please help ASAP!! 20 points givin

Answers

Answer:

d or b

Step-by-step explanation:

quick math

Answer is A 5/3
Hope it helps :)

Pythagorean Theorem Quiz.
1.) Find the unknown side length. Simplify answers that are radicals.
4
3
2.) Find the unknown side length. Simplify answers that are radicals.
16
12

Answers

Answer:

1.) 5              2.) 10.58

Step-by-step explanation:

For each one, you use the equation a^2 + b^2 = c^2 where c is the "hypotenuse"-- the side of the triangle opposite (facing) the right angle which is shown with a small box. The variables a and b do not matter, as long as they are the "legs", the other 2 sides.

So it is 4^2 + 3^2 = c^2 which simplifies to 16+9=25=c^2 and square root both sides and you get c=5

and 12^2 + b^2 = 16^2 which simplifies to 144+ b^2 = 256 and subtract 144 from both sides and you get b^2 = 112 and square root both sides and it is approximately 10.6 :)

FLIP OR NOT TO FLIP?
A. -4x + 2 < -2
B. - 9>-8
-7.

Answers

Answer:

the answer is not flip because when u calculate it

Which quadrilateral has two pairs of equal sides and each pair is a different length?

Answers

Answer:

rectangle hope it helpss

A figure has been dilated from the origin by a scale factor of one seventh. if another dilation from the origin maps the dilated image back
onto the original figure, what is its scale factor?

Answers

Answer:

its scale factor is 3

Step-by-step explanation:

plz mark brainliest

To map the dilated image back  onto the original figure, the scale factor needed is 7.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor.

If a figure is dilated from the origin by a scale factor of one seventh, it is given by:

(x, y) ⇒ [(1/7)x, (1/7)y]

To map the dilated image back  onto the original figure, the scale factor needed is 7. Hence:

[(1/7)x, (1/7)y] ⇒ (x, y)

Find out more at: https://brainly.com/question/11707700

HELP PLEASE 18 POINTS

Answers

Answer:

Step-by-step explanation:

line 1  m=y2-y1 / x2-x1  [formula for slope ]

m= 0 - (-3) / 8-(-4)

m= 3 /12      

m= 1/4  slope of line 1

line2  

m = 2-6 / 0-(-1)

m = -4 / 1

m = -4  slope of line 2

line 3

m = -4 - (-7)  / -3 -  6

m = 3 / -9

m = - 1/3  slope of line 3

lines 1 & 2   perpendicular b/c they are reciprocals with a sign change :)

lines 1 & 3     neither.. differet slopes and not reciprocals

lines 2 & 3  perpendicular  b/c they are reciprocals with a sign change :)

What is 4 8/9 plus 3 2/11

Answers

Answer:

8 7/99, Decimal. (8.07 repeated)

Step-by-step explanation:

Sorry it’s so blurry but I think u can see it it’s 8.07..... also if u needed to know it’s irrational.

Kim has a bag with 4 blue marble, 4 black marble, 7 orange marbles, 2 red marbles, 6 yellow marbles, and 1 pink marble.


P(pink OR red)?
A. 12.5%
B. 0.89
C. 1 1/4

Answers

This does not make sense, but with the logic, it would be B. Please comment to clarify so I can make changes if needed.

ANSWER: B

Help me out with 5,6,7 (Geometry)

Answers

Problem 5

A counterexample could be a number like 6. Divide it over 2 and we get 6/2 = 3, which is a whole number. This shows 6 is a multiple of 2. However, 6/4 = 1.5 is not a whole number, so 6 is not divisible by 4. The overall claim is false.

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

Problem 6

Let's say we are subtracting a positive number and a negative number. For instance, let's say we're subtracting 10 and -7

So,

10 minus -7 = 10 - (-7) = 10+7 = 17

When subtracting a negative, the two minus signs cancel to form a plus sign. The result we get is 17, which is larger than the greater number 10. So this is one counterexample that proves the claim to be false.

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

Problem 7

Start with a circle. The circle can be any size. Plot four random points on the circle. The points can be anywhere you want. Let's label those points A,B,C,D. Form quadrilateral ABCD.

Now let's say we pick point A and pull it off the circle and pull it outside the circle. Points B,C and D remain on the circle. This is one example where we cannot draw a circle through this new arrangement of points. The circle goes through B,C, and D just fine; however, it doesn't go through point A. If you try to attempt to get the circle to go through A, then you'll have to pick B,C or D to ignore. In other words, you'll only be able to pick three points that the circle can go through. Therefore, a circle cannot be drawn as described for every quadrilateral.

Note: Any quadrilateral that has all four points on the same circle is known as a cyclic quadrilateral.

What value of n makes the equation true?

Answers

Answer:

-0.7

Step-by-step explanation:

First do 3.2-1.8= 1.4. So now we know that -2n=1.4. Next you solve for n to get the answer of -0.7 with your answer of the third option.

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