Write x^2-8x+22 in the form (x-a)^2 +b

Answers

Answer 1

Answer:

[tex] {(x - 4)}^{2} + 6[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 8x + 22 \\ \\ = {x}^{2} - 8x + 16 + 6 \\ \\ = {x}^{2} - 8x + {4}^{2} + 6 \\ \\ = {(x - 4)}^{2} + 6[/tex]

Answer 2

The completed square form of  x² - 8x + 22 = 0 is (x - 4)² = - 6.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, a quadratic equation x² - 8x + 22 = 0.

We know (a - b)² = a² - 2ab + b².

∴ x² - 8x + 22 = 0 is

(x)² -2(x)(4) + 4² + 6 = 0.

(x - 4)² = - 6.

learn more about quadrilaterals here :

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Related Questions

Factor the expression completely. 10x^5 -7×^3?​

Answers

Answer:

there is your answer hope that helps

hope it helps!!!!!!!!!!!!!!!!!!

Thomas got a flat tire and had to walk 1/4 mile to the nearest gas station. How many feet did Thomas walk?

Answers

Answer:

[tex]1320\ \text{feet}[/tex]

Step-by-step explanation:

The distance Thomas walked to the nearest gas station is [tex]\dfrac{1}{4}\ \text{mile}[/tex].

The conversion factor for miles to feet is

[tex]1\ \text{mile}=5280\ \text{feet}[/tex]

So

[tex]\dfrac{1}{4}\ \text{mile}=\dfrac{1}{4}\times 5280[/tex]

[tex]=1320\ \text{feet}[/tex]

Hence, Thomas had to walk [tex]1320\ \text{feet}[/tex] to get to the nearest gas station.

Which point is a solution of the inequality 5x – 2y > -4?

A= (-4,-8)
B= (-2,-9)
C= (-4,5)
D= (-6,3)

Answers

the correct answer is b

Answer is Option-B

What is Inequality:

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Here, when we substitute B = (-2, -9) in given inequality equation  i.e.,

5(-2) - 2(-9) > -4

-10 + 18 > -4

8 > -4 (Satisfied)

Others options won't satisfies.

Answer is Option-B

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(GIVING BRAINLIEST!!)

A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?

A) 1/40 slice
B) 4 slices
C) 20 slices
D) 40 slices

Answers

Answer:

40 slices

Step-by-step explanation:

one eighth times 8 equals 1 pizza. 8 times 5 is 40

Answer:

there is a total of 40 pizza slices in total

Find the distance between a and b

Answers

THE DISTANCE IS 7 UNITS

Need help with this question!

A stake is to be driven into the ground 38 feet from the base of a pole, as shown in the diagram below. A wire from the stake on the ground to the top of the pole is to be installed at an angle of elevation of 52º. What will be the length of the wire from the stake to the top of the pole, to the nearest hundredth of a foot.

Answers

Answer:

you have to do 52 divided by cos of 38 to get the answer of 65.99ft

Help please, if you can

Answers

Answer:

since i was helpfull i would like to answer another question fish swim in water

Answer the viable point to please! But Answer Both!!

Answers

I’m pretty sure it z due to the equator being so close to the moon correct me if I’m wrong

What is 5/20 simplified ?​

Answers

The answer is 1/4. And how I got that is I divided both sides by 5, and I got the answer 1/4. I hope this helps! :)

round 17.5 to the nearest 1

Answers

Answer:

18

Step-by-step explanation:

.5 is 5 4 and below round down 5 and up round up

Mr. O’Hara found that on a recent trip his car used 12 gallons of gas to drive 396 miles. Assume that m represents the number of miles driven and g represents the number of gallons of gas used. What value makes the equation m=_*g represent the relationship between gallons of gas and miles driven?

Answers

Answer:

I think the answer would be 33. I am not exactly sure though.

Lisa is on a trip of 1,515 miles. She has already traveled 225 miles. She has 3 days left in her trip. How many miles does she need to travel each day to complete the trip?
A.
655
B.
430
C.
1,290
D.
860

Answers

Answer:

b.430

Step-by-step explanation:

........The answer is B

What is greater -3.2 or -3

Answers

Answer:

-3 is greater

Step-by-step explanation:

Have a good day :)

I think that it is greater

PLEASE HELP! I WOULD TRULY APPRECIATE IT :(

When trying to find solutions to the system of equations
x+y=3
2x+2y = 6
you take several correct steps that lead to the expression 0=0.
Which statement is true?
A x=0 and y=0
B
The system has no solution.
The system has one solution, but we don't know what it is.
D
The system has infinitely many solutions.

Answers

Answer:

D

Step-by-step explanation:

Let me know if I was right :( don't be mean pls

9 ,6 ,3, 0, -3, -6

b) Work out, in terms of n, the nth term of the sequence.

Answers

The answer is -3n + 12

Jordan's pet grooming business has a monthly cost function of C = $12p + $2100. His Revenue is given by the function R = $62p, where C is the total cost per month, R is the total revenue he receives each month and x is the number of pets he grooms in a month. How many pets must he groom each month to break even?

Answers

Answer:

Step-by-step explanation:

.

The graph of the function f is shown. f(5) =
)
A
-5
B)
-1
0
D)
5

Answers

Where is the graph ?

Answer:

The answer is 0

Step-by-step explanation:

because the x intercept is 5,0

Here's the photo
=0.2 × 0.3​

Answers

The answer Should be 0.06 !

Answer:

0.06

(0.2)(0.3)

=0.06

You give a delivery driver $15.50 for a pizza that costs $12.50. You tell the driver to keep the change as a tip. Is the tip more than or less than 20%?

Answers

Answer:

More than

Step-by-step explanation:

Answer:

more than 20%

Step-by-step explanation:

3.00/12.50 = .24

Meaning the tip was 24% ( more than 20% )

For each year that a gift card goes unused, the value of the card decreases by 5%. What is the value of a $25.00 gift card after 1 year? Show your work.

Answers

Answer:

25*0.95 = 23.75

Step-by-step explanation:

i multiplied by 0.95 because the card is still worth 95% of it's original worth.

you could've done:

25*0.05= 1.75 and then subtract that from 25 to get 23.75, i just find the other way easier.

i hope this helped :)

A middle-school art teacher, Ms. Velez, and her students are turning the school’s gymnasium into a student art museum for the day.
Ms. Velez types a program for the event and writes: "The most popular art museum in the world, the Louvre, has approximately 9,300,000 visitors each year. About 1,900,000 of those visitors are young people age 18 to 25."
1) How would you write the two numbers above in scientific notation? (2 points)
2) BONUS: Approximately what percent of visitors to the Louvre are young people?

Answers

Answer:19 to the 5th power

Step-by-step explanation:

U got to count all the zeros and that will be the number u put on top plus 19

4(x-5)=10(x-10)

solve for x

Answers

Answer:

40/3

Step-by-step explanation:

4x -20 = 10x -100 (Distributive Property)

4x -10x = -100 +20 (I swith the numbers so all of them are similar)

-6x= -80 (Divide -6 on both sides)

And you will get 40/3 or 13.3333..

Answer:

x = 40/3

Step-by-step explanation:

4(x-5)=10(x-10)

=> 4x - 20 = 10x - 100

=> 4x - 10x = - 100 + 20

=> -6x = -80

=> x = 80/6

=> x = 40/3

How long it takes for something to travel a certain distance is the definition of:

Answers

Answer: boat

Step-by-step explanation: the farthest it can go is weeks

-6x + 30 > 36 Solve for x

Answers

Answer:

x > -2

Step-by-step explanation:

-6 (-2) + 30 > 36

12 + 30 > 36

42 > 36

Yes

Write one hundred twenty-one and twenty one thousandths in decimal notation.

Answers

Answer:

121.021

Step-by-step explanation:

What is the solution to 5(x-1)+3x=7(x+1)

Answers

Answer: x = 12

Step-by-step explanation:

5(x-1)+3x=7(x+1)

5x - 5 + 3x = 7x + 7

8x - 5 = 7x + 7

x - 5 = 7

x = 12


3 + (-7) = ?
Need helpppp

Answers

Answer:

The answer would be -4

Step-by-step explanation:

If you think about it like -7+3 it can help you figure out what sign to use :)

help pls, i’ll mark as brainliest if correct

Answers

Answer: -11/12

Step-by-step explanation:

Find the value of the variable(s) in each figure. Explain your reasoning

Answers

Answer:

x=14 and y=37

Step-by-step explanation:

which is an equation of the line through (-1 -4) and parallel to the line 3x+y=5

Answers

Answer:

y=-3x-7

Step-by-step explanation:

y=-3x+5

-3 stays the same

y=-3x+c

input values

-4=3+c

c=-7

y=-3x-7

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