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

Pls I need the answer

Answers

Answer:

13/200

Step-by-step explanation:

so we grab the fraction:

6 1/2%

make it a decimal instead of a fraction

6.5%

divide it by 100 to get

6.5/100

and multiply it by 2 because decimals have no place inside fractions lol

13/200

The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.

Answers

Answer:

L=25.25 in

W= 6.75in

Step-by-step explanation:

Step one

Given data

Let the width be x

W= x

and length

L= 3x+5

Perimeter= 64 in

Step two:

we want to find the dimension of the rectangle

We know that perimeter is

P= 2W+2L

64= 2*x+2*(3x+5)

64= 2x+6x+10

collect like terms

64-10=8x

54= 8x

divide both sides by 8

x= 54/8

x= 6.75in

We know that the length is

L= 3x+5

L= 3*6.75+5

L= 20.25+5

L=25.25 in

Twins Isaac and Isaiah were just born. Isaac weighs 6666 pounds 2222 ounces and Isaiah weighs 5555 pounds 4444 ounces.

Answers

Step-by-step explanation:

Kindly make the question clearer for assistance

make the question more clear pls

Pls help easy points

Answers

are you just looking for the green space or more

Answer: The tax for one dollar is $.0825. The tax for the 12 dollar soap is $.99

Step-by-step explanation:

To figure this out you divide the tax by the price. (.66 divided by 8) This means its .0825 tax for every dollar.

Choose all equations for which x=2 is a solution.

A:x+3=5
B:x+2=8
C:x+1=1
D:x-2=4
Ex-7=5-

Answers

A is the only correct answer, unless you meant to put “-5” for letter E. Then A and E would be the correct answers!

What is the equation of the given circle?

Answers

Answer:

According to the above figure,

Centre:(-3,2), radius =1

[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} \\ \boxed{ {(x + 3)}^{2} + {(y - 2)}^{2} = 1}[/tex]

B. is the right answer.

Find the slope and y-intercept of the line. Enter the y-intercept as the y-value of the point where the
graph intersects the y-axis.
3x + 3y = 6

Answers

Answer:

Slope: -1, y-intercept: 2.

Step-by-step explanation:

3x + 3y = 6 in slope intercept form is y = -x + 2. Slope-intercept form is y = mx + b. As we know, m is slope and b is y-intercept. This means the slope is -1 and the y-intercept is 2.

Is it true that x= -5 ? -2(-4x-1)-x+3=−30 Justify your answer.

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

-2(-4x-1)-x+3=−30  equation/Question

step 2

-2(-4x-1)-x+3=−30  distribute

7x+5=-30

step 3

7x+5=-30  subtract 5

7x=-35

step 4

[tex]\frac{7x}{7} =\frac{-35}{7}[/tex]  divide

answer

x=-5

Answer:

-2(-4x-1)-x+3=-30

8x+2-x+3=-30

7x+5=-30

7x=-30-5

7x=-35

x=-35÷7

x=-5

Spider monkey the tail is. 60% of the length shown. What is the length of its tail

Answers

Answer:

male monkeys tail can have 1 to 1.5 feet or 31 to 45 cm

female monkeys tail can have 2.1 to 2.5 feets or 64 to 75 cm

Is this correct? Checking if a point is in a line

Answers

Answer:

this is correct

Step-by-step explanation:

Step-by-step explanation:

not true but the number is wrong tho I got 14=-2

hope it help

There are 7 cars in an amusement park ride. There are 42 people divided equally among the 7 cars. An equal number of people ride in each car. How many people ride in one car?

Answers

6 people ride in each car

Explanation:
42 divided by 7 is 6. This means 42 people divided amongst 7 cars.

Answer:

there will be 6 people per cart

Step-by-step explanation:

if u divide 42 the number of people by the number of carts u get 6 so 6 people per cart and

Paralell to the line y=3x + 5 and has a y-intercept of -1

Answers

Step-by-step explanation:

Everything the parallel lines has the same slope

[tex]y = mx + b[/tex]

m = slope

b = y intercept

then the equation of the line is:

[tex]y = 3x - 1[/tex]

what is 4 1/2-3 5/6 from page 393 GO Math book

Answers

Answer:

The answer is 1/6

Step-by-step explanation:

This is the answer because it is.

It is 1/6
This is the answer because

Dan is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dan wants to get 83 balloons, how many yards of string will he need?

Answers

Answer:

I would think its 249 because 9 divided 3= 3 because 3 feet is 1 yard and then you do 83x3 and then you get 249.

Step-by-step explanation:

HELP PLS I WILL MARK BRAINLIST IF CORRECT !!
-
1. 9 6/8 = n + 2 1/8

-
2. x — 2/9 = 6 5/9
-
3. y + 1/4 = 6 11/12
pls help me i dont understand any of this.

Answers

1. X= 61/8

2. X= 61/9

3. Y= 20/3

The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W = 7+2X. What are the mean and standard deviation of W?
A. The mean is 24, and the standard deviation is 6.
B. The mean is 24, and the standard deviation is 13.
C. The mean is 31, and the standard deviation is 3.
D. The mean is 31, and the standard deviation is 6.
E. The mean is 31, and the standard deviation is 13.

Answers

Answer:

Mean=X=12

SD=3

W=7+2X

Mean(W)=7+2Mean(X)

Mean(W)=7+2(12)

=7+24=31

SD(W)=2SD(X)

SD(W)=2(3)=6

Ans: D

herlene has 5.05 in quarters and dimes. The number of quarters is one more than twice the number of dimes. Find the number she has of each kind.

Answers

Answer:

Herlene has 8 dimes and 17 quarters

Step-by-step explanation:

System of Equations

Let's call:

x = number of dimes Herlene has

y = number of quarters Herlene has

Since each dime has a value of $0.10 and each quarter has a value of $0.25, the total money Herlene has is 0.10x+0.25y.

We know this amount is $5.05, thus:

0.10x + 0.25y = 5.05        [1]

It's also given the number of quarters is one more than twice the number of dimes, i.e.:

y = 2x + 1        [2]

Substituting in [1]:

0.10x + 0.25(2x + 1) = 5.05

Operating:

0.10x + 0.5x + 0.25 = 5.05

0.6x = 5.05 - 0.25

0.6x = 4.8

x = 8

From [2]:

y = 2*8 + 1 = 17

y = 17

Herlene has 8 dimes and 17 quarters

PLEASE ANDWER
y = 10 x + 2
What is x?
Is this proportional?

Answers

Answer:

x the (x) value of the ordered pair, it is proportional.

Step-by-step explanation:

1 1/2k + 1/2 (18 + 16k)
help pls

Answers

Answer:

[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]

–4x-2y=-2
x-2y=9
what do you get if you subtract the second from the first

Answers

Answer:

-4×-2y=2

-4×+8y=-8

6y=6

y=1 then you the value of y and to put in any one equestion

This should be easy

Answers

Answer:

69

Step-by-step explanation:

it's the holy number jesus christ can confirm

Answer:4

Step-by-step explanation:

The side opposite from the right angle is called

Answers

Answer:

The side opposite from the right angle is called the hypotenuse.

On a college test, students receive 4 points for every question answered correctly and lose 7 points for every question answered incorrectly. On a particular test, Terry answered 87 questions correctly and 46 questions incorrectly. What was his score on the test? Show your work.

Answers

Answer:

26

Step-by-step explanation:

correct answers:87

so do 87x4=348

46*7=322

do this because he got some incorrect

348-322=26

so her score is 26

Which fraction is equivalent to 2/6?

Answers

Answer:

1/3 or one third

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

2/6 = ?

You can simplify this fraction

2/6 = 1/3

Substitute x=5 into the expression 4x-8 and simplify

Answers

Answer:

4(5) - 8

20 - 8

= 12

what does 72 x ? = 300

Answers

Answer: 25/6

Step-by-step explanation:

Answer:

? = 4.1667

Step-by-step explanation:

300/72 = 4.1667

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

I need help with this math question

Answers

answer:

i think it’s 60%

explanation:

117/195=?/100

i multiplied 117 by 100 and got 11,700. Then, I divided 11,700 by 195 and got 60.

hoped this helped.

Can zeros be written at the end of a decimal without changing the number that it represents?

Answers

Answer: yes, zeroes are simply just a place holder to make the number easier to read

Step-by-step explanation:

Yes they can. Zeros can be written at the end of a decimal. They work as a place holder.
Example:
0.4 is the same as 0.40

On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represents sea level. What do −220 and +19 represent?

220 feet below sea level and 19 feet above sea level
220 feet above sea level and 19 feet below sea level
220 feet below sea level and 19 feet above 220
220 feet above sea level and 19 feet below 220

Answers

Answer:

A

Step-by-step explanation:

0 is sea lvl so just add and subsubtract

Answer:

A

Step-by-step explanation:

its A bc it said -220 witch is negative so that means ill be below sea level and +14 is a positive number so that will be above sea level.

Hope that helps!

~Emma~

(-30i) +(52-30i) express your answer in the form (a+bi)

Answers

Step-by-step explanation:

-30i + 52 - 30i

= 52 - 60i.

Here a is 52 and b is -60.

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