Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b

Answers

Answer 1

Answer:

a = b = 1

Step-by-step explanation:

x² - 2x + 2 = ( x - a )² + b

x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1

a = b = 1  


Related Questions

Please help me with this as soon as you can. I have no idea how to do it so please help me.

Answers

Answer:  60

Step-by-step explanation:

the sum of four consecutive odd numbers is 48?

Answers

Answer:

The numbers are 9 + 11 + 13 + 15.

Step-by-step explanation: The equation for this is simple.

Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is  9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.

find the slope of the line passing through (4,-6) (7,2)

Answers

Answer:

8 over 3

Step-by-step explanation:

Use

Y2 - y1 over x2 - x1 slop formula

Answer:

the slope in fraction form is 8/3, in integer form is 8.

Step-by-step explanation:

use the x coordinates for the run and the y coordinates for the rise. To find the rise you use the y coordinates -6 and 2, and think about how many spaces away they are on the coordinate plane by adding them both like they are positive. 6 + 2 = 8. To find the run, subtract 7 from 4 which equals 3. So, there you have the rise over run = 8/3 or in integer form, 8.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

A couple wants to install a square mirror on their bathroom wall. The area of the square mirror is 720 square inches. To the nearest hundredth of an inch, what length of wood trim is needed to go around the entire mirror?PLZ ANSWER I NEED THIS IN LESS THAN 10 MINUTES

Answers

Answer:

26.83inches

Step-by-step explanation:

Area of the square mirror is expressed as A = L²

L is the side length of the square mirror

Given

Area = 720in²

Get the length

720 = L²

L = √720

L = 26.83

Hence the length of wood trim needed to go around the entire mirror is 26.83inches

Which expression is equivalent to 3 radical x^5y

Answers

Answer:

√3 x^5y

√3=1.7

1.7 • x^5 • y

1.7 • X^4• x• y.

Step-by-step explanation:

hope it helps.

have a wonderful day!

Answer:

x^5/3 y^1/3

Step-by-step explanation:

i took the test and got it correct.

A wave is traveling with a speed of 500 m/sec and has a wavelength of 10 m. Determine its frequency.

Answers

Answer:

I'm gonna get more people here

Answer:

50 hz  yw pplz

Step-by-step explanation:

Carlos purchase 3 pounds of potatoes,2 pounds of banana & five pounds of apple,he handed the clerk $12.43 how many pounds total does his idea weight

Answers

Answer:

I don't know "how many pounds total does his idea weights" but the stuff he purchased weights 10 pounds.

I NEED HELP WITH THIS SIMPLE QUESTION I cant do it and idk why. (YOU CAN SEE THE PICTURE WHEN YOU CLICK THIS) please give an explanation on how you solved it!!!

Answers

Answer:

I think it iss 6$

Step-by-step explanation:

what's 15% of 66 half of that number is 6 so i think its 6$ if its not I'm sorry

I need help please ​

Answers

Answer:

m<L.F.M = 50

Step-by-step explanation:

So we know that the m<F.M.L = 90 and m<F.M.P = 90 so...

3x- 1 + 2x + 6 = 90 (collect like terms)

5x + 5 = 90 (subtract 5 on both sides)

5x = 85 (divide by 5 on both sides)

x = 17

Plug in to (3x-1)

3(17) - 1 = m<L.F.M

50 = m<L.F.M

Hope this helps!!

said sum things were inappropriate

The letters

You multiply 2 integers. The product is 30 less than one of the integers.

Answers

Answer:

30 and 0 is an easy answer

Step-by-step explanation:

30 times 0 equals 0

0 is 30 less than 30

(45x-7)4x=57 solve this and ill make out with you

Answers

Answer:

After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

Step-by-step explanation:

We need to solve the equation: [tex](45x-7)4x=57[/tex]

Solving:

[tex](45x-7)4x=57[/tex]

Multiply 4x with terms inside the bracket

[tex]180x^2-28x=57[/tex]

[tex]180x^2-28x-57=0[/tex]

We need to solve above equation to find value of x

Using quadratic formula for finding value of x: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a=180, b=-28 and c=-57

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-28)\pm\sqrt{(-28)^2-4(180)(-57)}}{2(180)}\\x=\frac{28\pm\sqrt{784+41040}}{360}\\x=\frac{28\pm\sqrt{41824}}{360}\\x=\frac{28\pm204.51}{360}\\x=\frac{28+204.51}{360} \ or \ x=\frac{28-204.51}{360}\\x=0.645 \ or \ x = -0.490[/tex]

Values of x are [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

So, After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

Is this a function?explain your choice.be specific by describing the domain and range values that may be problematic.

Answers

Answer:

yes it is a function

Step-by-step explanation:

The probability that a randomly selected 2 2​-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0.98861. ​(a) What is the probability that two randomly selected 2 2​-year-old male garter snake garter snakes will live to be 3 3 years​ old? ​(b) What is the probability that seven seven randomly selected 2 2​-year-old male garter snake garter snakes will live to be 3 3 years​ old? ​(c) What is the probability that at least one of seven seven randomly selected 2 2​-year-old male garter snake garter snakes will not live to be 3 3 years​ old? Would it be unusual if at least one of seven seven randomly selected 2 2​-year-old male garter snake garter snakes did not live to be 3 3 years​ old?

Answers

Answer:

a. [tex]Probability = 0.97735[/tex]

b. [tex]Probability = 0.92294[/tex]

c. [tex]P(At\ Least\ One) = 1[/tex]

No, it is not unusual if at least 1 lives up to 3.

Step-by-step explanation:

Given

Represent the probability that a 2 year old snake will live to 3 with P(Live);

[tex]P(Live) = 0.98861[/tex]

Solving (a): Probability that two selected will live to 3 years.

Both snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

[tex]Probability = P(Live)\ and\ P(Live)[/tex]

[tex]Probability = 0.98861 * 0.98861[/tex]

[tex]Probability = 0.9773497321[/tex]

[tex]Probability = 0.97735[/tex] --- Approximated

Solving (b): Probability that seven selected will live to 3 years.

All 7 snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

[tex]Probability = P(Live)^n[/tex]

Where [tex]n = 7[/tex]

[tex]Probability = 0.98861^7[/tex]

[tex]Probability = 0.92294324145[/tex]

[tex]Probability = 0.92294[/tex] --- Approximated

Solving (c): Probability that at least one of seven selected will not live to 3 years.

In probabilities, the following relationship exist:

[tex]P(At\ Least\ One) = 1 - P(None).[/tex]

So, first we need to calculate the probability that none of the 7 lived up to 3.

If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861

This gives:

[tex]P(Not\ Live) = 0.01139[/tex]

The probability that none of the 7 lives up to 3 is:

[tex]P(None) = P(Not\ Live)^7[/tex]

[tex]P(None) = 0.01139^7[/tex]

Substitute this value for P(None) in

[tex]P(At\ Least\ One) = 1 - P(None).[/tex]

[tex]P(At\ Least\ One) = 1 - 0.01139^7[/tex]

[tex]P(At\ Least\ One) = 0.99999999999997513055642436060443621[/tex]

[tex]P(At\ Least\ One) = 1[/tex] ---- Approximated

No, it is not unusual if at least 1 lives up to 3.

This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years

I know that it’s supposed to flip over the y-axis but can someone please give me the points?

Answers

Answer:

Step-by-step explanation:

There are 3 critical points. Place them on the graph and go down (using a ruler and pencil).

-7, -5 trans forms into 7, -5

-4, -2 transforms into 4,-2

4, -4 transforms into -4, -4

What is the value of x?
Enter your answer in the box.

Answers

Answer:

35

Step-by-step explanation:

Since all the angles are the same in this triangle, all the sides should be the same too.

Hence, 3x - 5 = 4x - 30

5 + -1x = -30

-1x = -35

x = 35

Hope this helped!

Answer:

Considering the fact that this is an equilateral triangle, x would equal 25

Step-by-step explanation:

since in an equilateral triangle all sides are equal, just pick 2 and solve for x

3x-5=2x+20

3x-2x=20+5

x=25

to check work,

4(25)-30=70

3(25)-5=70

2(25)+20=70

Megan works at Amazon warehouse each crate can hold 32 boxes she needs to ship 712 how to divide into 22 crates?

Answers

She needs 23 boxes because 22.25 boxes doesn’t make sense.
The answer is 23 boxes not 22

2 7/8 * 3

Really need help!!

Answers

Answer:

search for a mixed number calculator on google

Step-by-step explanation:

The 8th grade class sold snacks at lunch to earn money for a field trip. They sold 30 items this week. For each snack type, what percentage of all snacks sold were of that type? Round to the nearest hundredth if necessary.

Answers

Answer:

Step-by-step explanation:

Total number of snacks sold by 8th grade class = 30

Percentage of a particular snack sold = [tex]\frac{\text{Number of particular snack sold}}{\text{Total number of all snacks sold}} \times 100[/tex]

Percentage of cookies sols = [tex]\frac{6}{30}\times 100[/tex] = 20%

Percentage of cheese sticks sold = [tex]\frac{8}{30}\times 100[/tex]

                                                         = 26.67%

Percentage of  chips sold = [tex]\frac{12}{30}\times 100[/tex]

                                           = 40%

Percentage of water sold = [tex]\frac{4}{30}\times 100[/tex]

                                          = 13.33%

At a point on the ground 35 ft from a base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height of the tree. Find the height of the tree.


(Simplify your answer . Round to the nearest foot as needed.)

Answers

I would say that the tree is 12 feet high.

And to find out the answer you could use the quadratic formula :)

5.) According to the Bureau of Labor Statistics, in 2012, 33% of

all American computer systems analysts were women. 145,000

women were doing this job. How many men were doing the same

job?

a. 47,850

b. 439,394

c. 294,394

d. 584,394


PSA this is due the 12th so please help me

Answers

The answer is C. 294,394

Need help now please

Answers

Answer:

2

Step-by-step explanation:

rise over run = y/x

3/1.5= 2

Means and SDs. For each part, compare distributions (1) and (2) based on their means and standard deviations. You do not need to calculate these statistics; simply state how the means and the standard deviations compare.


A)


1) 3, 5, 5, 5, 8, 11, 11, 11, 132) 3, 5, 5, 5, 8, 11, 11, 11, 20B)1) -20, 0, 0,0,15, 25, 30, 302) -40, 0,0, 0,15, 25, 30,30


C)


1) 0,2,4,6,8,10


2) 20, 22, 24, 26, 28, 30


D)


1) 100, 200, 300, 400, 500


2) 0, 50, 300, 550, 600

Answers

Answer:

hfiwadhcase9iskoalsuhc;AJDSLASHDOIAWNHEOJOSED

Step-by-step explanation:

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Is the relation {(2,5), (0, -5), (-2, 6), (2, 3)} a function?

Answers

Answer:

Not a function

Step-by-step explanation:

find the average rate of change of each function on the given interval f (x) = x^5 + 2x^4 + 3x - 12;(-5, -1]​

Answers

Answer:

x^5+2^x4+3^x+72

Step-by-step explanation:

......................

A square has a perimeter of 72 cm what is the length of each side

Answers

Answer:

each side is 12 cm

Step-by-step explanation:

This is a simple equation, since a square is equal an all 4 sides, all you have to do it divide 72 by 4 to get your answer.

May I have brainliest please? :)

Sally leaves her house and jogs along a straight road. After one hour she has gone 4 miles. Then, Sally slows to a brisk walk at a constant rate. After the first hour of walking in the same direction, Sally is 6.5 miles from her house. How many miles from her house will she be after two more hours of walking?

Answers

Answer:

I'm pretty sure its 11.5

Answer:

11.5 mi.

Step-by-step explanation:

First, you figure out how much miles Sally has gone by walking.

6.5-4=2.5 mi.

You use the distance formula: d(distance)=r(rate)xt(time)

2.5 mi.=Rx1 hr.

rate=2.5 mi/hr.

To figure out how many miles Sally will be from her house after two more hours of walking, you use the distance formula again.

d=2.5mi/hrx2 hr.

d=5.0 mi(2.5x2)

6.5mi+5.0mi=11.5 mi total

What is the square root of pi?

Answers

Answer:

1.77245385091...

Step-by-step explanation:

Its a long number!

Have a great day!

5 Carla packs 4 pairs of pants, 2 pairs of shorts, and 3 skirts for her vacation.
What is the ratio of skirts to pants? (1 point)
A
4:3
B
4:9
C 3:9
D 3:4

Answers

Answer: D

Step-by-step explanation:

16.9 and 1.7 and 0.17 and 2.0 rounded up to the nearest whole number

Answers

Answer:

17, 2, 0, 2

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

16.9 + 1.7 + 0.17 + 2.0 = 20.77 rounded to the  nearest whole number is 21.

does anyone have the answers to this worksheet??? i really need them!

Answers

Answer: I'm sorry

       

Step-by-step explanation: I don't have the answer...

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