Rewrite the equation by completing the square.
f(x) = x^2 - 2x + 17
f(x) = (x + |?|)^2 + |?|

Answers

Answer 1

Answer:

f(X)= (x-1)²+16

Hope this helps


Related Questions

if f(x)=2x+5 and g(x)=x+3, write an expression that is equivalent (f g)(x)

Answers

Basically, you have to multiply the x of f(x) by the equation of g(x):

(f g)=2(x+3)+5
(f g)=2x + 6 +5
(f g)=2x + 11

Rewrite in simplest terms: -9(5s – 6) + 9s

Answers

-36s+54 i hope that was helpful

the answer is  -36+54

I used a exponet calculator

What is the measure of angle TRV? 20° 50° 60° 130°

Answers

Answer: 130

Step-by-step explanation:

Answer: 130 (D)

What is the measure of angle TRV?

Write the ratio 7/8 in two different forms

Answers

You can write it
7 to 8
7:8

What is the value of C-F​

Answers

Answer:

The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.

Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did. How many video games did Austin sell, given they had the same number of video games left?

Answers

Answer:

The answer is 7 video games

Step-by-step explanation:

The number of video games Austin sold will be 4.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did.

Let x be the number of video games sold and y be the number of video games left. Then the equations will be

y = 26 - x

y = 40 - 3x

From equations 1 and 2, then we have

26 - x = 40 - 3x

3x - x = 40 - 26

2x = 14

x = 4

The number of video games Austin sold will be 4.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

solve for the equation 2x+9=3x

Answers

The answer for the equation is x=9 hope this helps

Harry and Jenny are going to the movies. They each bought a medium popcorn, and Harry got a small soft drink. Jenny had a $4 coupon as a discount, and Harry paid the rest, which came to $23. A movie ticket costs $8, and a medium popcorn costs $4.50. What was the cost for a soft drink?

Answers

Answer:

2$

Step-by-step explanation:

2 medium popcorns = 9$

2 Movie tickets = 16$

One coupon = -4$

This is equal to the cost without the soft drink(21$)

23$ - 21$ = 2$

Answer:

$2

Step-by-step explanation:

It was originally $27 but, Jenny used a $4 coupon. Each movie ticket costs $8, each popcorn cost $4.50.

1. Start from the cost of each item.

8+8=16 (cost of the tickets)4.50+4.50=9 (cost of the popcorn) .

2. Add the totals together.

16+9+ 25

Now subtract 25 from the original amount.

27-25=2

It costs 2 dollars for a soft drink.

2.)Solve for Y
3.)Solve for G
5.)Solve for B
6.)Solve for D

Answers

2. Y=x/5
3. G= f/h
5. B= m/f
6. D=b/8
I hope these are right for you

Answer:

See below

Step-by-step explanation:

2) x =5y  Solve for y

Divide both sides by y

x/5 = y

3) f/g = h Solve for G

Multiply both sides by g

(g/1) f/g =h(g)

f =hg

Divide by h

f/h = g

5) bf = m  Solve for b

divide both sides by f

bf/f = m/f

b = m/f

6) 8 = b/d   solve for d

Multiply both sides by d

8 ( d) = b

Divide by 8

d = b/8

Marty drew a model of the school library. The total area of the floor is 132 square
centimeters. What is the area of the shaded part of the model shown below?
10 centimeters
6 centimeters
What is the area of the shaded part?

Answers

Answer:

60

Step-by-step explanation:

Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 .

Answers

Answer:

Answer:

AB=4

Step-by-step explanation:

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

With this, we will found that the distance between A and B is: 4 units.

The first thing we need to do is find A and B.

We know that the points are the intersection between the two parabolas.

y = -x^2 + 9

y = 2*x^2 - 3

The intersection is given by the zeros of the difference:

(2*x^2 - 3) - (-x^2 + 9) = 0

3*x^2 -12 = 0

3*x^2 = 12

x^2 = 12/3 = 4

x = √4 = ±2

To find the points, we need to evaluate one of the parabolas in these two x-values.

Let's use the first one:

y = -(2)^2 + 9 = 5

So we have the point (2, 5)

For the other point:

y = -(-2)^2 + 9 = 5

So we have the point (-2, 5)

Then we can define:

A =  (2, 5)

B = (-2, 5)

Using the distance equation we get:

[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]

The distance between A and B is 4.

If you want to learn more, you can read:

https://brainly.com/question/12082741

If A is an odd integer and B is an odd integer, is A*B sometimes, always, or never odd? Explain

Answers

Answer:

Always

Step-by-step explanation:

In order for an integer to be even, one of the factors must be 2.  Otherwise, it is odd.

If A is an odd number, it does not have a factor of 2.

If B is an odd number, it also does not have a factor of 2.

Therefore, AB also does not have a factor of 2, so it is always odd.

Which of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.
35 cm to 1 km
1 mm to 150 km
1 mm to 500 m
5 mm to 2.5 km
3 cm to 15 km

Answers

Answer:

E; 3cm to 15km

Step-by-step explanation:

1cm to 5km

NOT A:

35cm to 1km

×5

175cm to 5km

NOT B:

1mm to 150km

÷ 30

1/30mm to 5km

NOT C:

1mm to 500m

× 10

10mm to 5km

NOT D:

5mm to 2.5 km

× 2

10mm to 5km

E:

3cm to 15km

÷ 3

1cm to 5km

Syeda had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much did Syeda have left in her account on Thursday

Answers

Answer:

$22.70

Step-by-step explanation:

$80.45-$20.50=$59.95. $59.95-$37.25= $22.70.

hope i helped.

Answer:

22.70

Step-by-step explanation:

 80.45

- 20.50

 59.95

 59.95

- 37.25

22.70

What is the value of x+2, when x = 2 ?
I

Answers

Answer: 2 + 2   x =2

Step-by-step explanation:

x + 2

x=2

2+2

Hey there!☺

[tex]Answer:\boxed{4}[/tex]

[tex]Explanation:[/tex]

[tex]x+2[/tex] when x = 2

Since x is 2, you just have to add it with the number that you need to add with.

[tex]x+2\\x(2)+2=4\\2+2=4[/tex]

4 is your final answer.

Hope this helps!

There are 28 butterflies in the garden. Some are blue and some are yellow. If b represents the number of blue butterflies in the garden, which expression represents the number of yellow butterflies in the garden?

Answers

Answer:

y = 28 - b

Step-by-step explanation:

you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.

Felipe earns $9 per hour for helping his grandmother with her yard work. Write and solve a multiplication equation to find how many hours he must help his grandmother I’m order to earn $54

Answers

Answer:

Felipe work for 6 hours to earn $54

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

The unit digit in the square of the number 132 is options are:- 1) 1 2) 2 3) 3 4) 4
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz answer fast

Answers

132*132= 17424

so unit digit is 4 Step-by-step explanation:

9x - 12 = 13 + 4x
Respuesta y ejemplo

Answers

We add 12 to both sides
9x=13+14x+12
Simplify it we get
9x=4x+25
Subtract 4x from both sides
9x-4x=25
We simplify it and we get
5x=25
Divide both sides by 5
X=25/5
And we get x=5 as the answer

Responder:

x=5

Explicada:

9x-12=13+4x

Suma 12 a ambos lados

9x-12+12=13+4x+12

simplificar

9x=4x+25

restar 4x de ambos lados

9x-4x=4x+25-4x

Simplifica de nuevo

5x=25

dividir ambos lados entre 5

5x/5=25/5

Simplifica de nuevo

x=5

Chrysanthemum is serving iced tea and lemonade at a picnic. She has only 80 glasses in which to
serve the drinks. If x represents the number of glasses of iced tea and y represents the number of
glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?

Answers

Answer:

80=x+y

Step-by-step explanation:

The maximum amount of glasses is 80; the solution cannot be more than 80; the number of glasses of lemonade and of iced tea cannot be more than 80 total.  

How do you solve this ? Please !!!

Answers

Answer:

m[tex] \angle[/tex]6 = 68°

Step-by-step explanation:

From the question all the angles are on a a straight line which means the sum of their angles is 180 and one of the angles is 90°

So to find m [tex] \angle[/tex] 6 , add

m [tex] \angle[/tex] 5 and 90 and subtract the result from 180°

That's

m[tex] \angle[/tex]5 + m[tex] \angle[/tex]6 + 90 = 180

m[tex] \angle[/tex]6 = 180 - 90 - m[tex] \angle[/tex]5

m[tex] \angle[/tex]6 = 180 - 90 - 22

We have the final answer as

m[tex] \angle[/tex]6 = 68°

Hope this helps you

In the question, a lines & angles diagram is provided, and we can see three angles labelled here. The angles are angle 5, angle 6 and a 90°.

GiveN,

Angle 5 = 22°One of them is 90°

We have to find the measure of the missing angle 6...

All the three angles are lying on a staright line, so their collective measure or the sum of these 3 angles is equals to 180°.

➝ Angle 5 + Angle 6 + 90° = 180°

➝ 22° + Angle 6 + 90° = 180°

➝ Angle 6 + 112° = 180°

➝ Angle 6 = 68°

So, the measure of Angle 6:

[tex] \huge{ \boxed{ \bf{68 \degree}}}[/tex]

And we are done !!

#CarryOnLearning

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the residents of the state of texas pay an 8.25% sales tax on most purchases.which decimal represents the texas state sales tax?
A) 0.825
B)0.00825
C)0.0825
D)8.250

Answers

0.0825 because you move 2 to the left
C is correct answer

Compare the process of solving
|x - 1 + 1 < 15 to that of solving
1x – 1| + 1 > 15.

Answers

Answer:

x-1+1<15; this gonna be x<15 and 1x-1+1>15 this is gonna be the same

Step-by-step explanation:

Solve for x.

[tex] - 2(6 + x) = 18 - 3x[/tex]

x = [?]​

Answers

-2(6 + x) = 18 - 3x
-12 - 2x = 18 - 3x
-2x + 3x = 18 + 12
x = 30

Identify the graph of the inequality 2(2x – 1) + 7 < 13 or –2x + 5 < –10.

Answers

Answer:

–2x + 5 < –10.

Decimal Form: 7.5

15/2

Answer:

the answer is C on edge

(p- 11p' + 17p2 + 2p - 6) = (p – 2)

Answers

Answer:

p=(9+\sqrt(353))/(34),(9-\sqrt(353))/(34)

Step-by-step explanation:

-8(-x - 7) = 120

I forgot how to do equations pls help​

Answers

Answer:

x = 8

Step-by-step explanation:

Given

- 8(- x - 7) = 120 ( divide both sides by - 8 )

- x - 7 = - 15 ( add 7 to both sides )

- x = - 8 ( multiply both sides by - 1 )

x = 8

The angle measurements in the diagram are represented by the following expressions.
A= 5x - 15°
B = 2x + 21°
Solve for x and then find the measure of

Answers

Answer:

45°

Step-by-step explanation:

A and B are Alternate exterior angles and congruent, thus

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Thus

∠ A = 5x - 15 = 5(12) - 15 = 60 - 15 = 45°

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°

Which of these numbers rounds to 7.6? 7.546 7.630 7.670 7.720

Answers

Answer:

Step-by-step explanation:

only 7.630 round to 7.6

Zelly works 10 hours a week at a food market for $6.50 an hour she takes Home $5.20 an hour after deductions what is her rate for deductions use an equation to model the problem and solve it use our to represent the rate for her deductions

Answers

Answer:

$1.40/ hour

Step-by-step explanation:

The rate of the deductions is

Full amount minus new amount.  This is the amount taken per hour

$6.50/ hour -$5.2/hour = rate

$1.40/ hour

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