what is the vertex of f(x)=x^2-9x+14

Answers

Answer 1

Its going to be a lot of steps

Step one

To complete the square, the same value needs to be added to both sides

f(x)+?=x^2 -9x+?+14

Step two

To complete the square add to the expression

x^2 -9 + 81/4= ( x- 9/2 ) ^2 add 81/4
To the expression


f(x)+?=x^2 -9+ 81/4 + 14

Step three

Since 81/4 was added to the right-hand side, also add 81/4 to the left-hand side

f(x)+81/4=x^2 -9x+81/4+14

Step four

Use a^2-2ab +b^2 = ( a-b)^2 to factor the expression

f(x)+81/4=(x-9/2)^2+14

Step five

Move the constant to the right-hand side and change its sign

f(x)=(x-9/2)^2 + 14- 81/4

Last step

Calculate the difference

F(x)=(x-9/2)^2 -25/4


That was to long
Karl:D

What Is The Vertex Of F(x)=x^2-9x+14

Related Questions

how much 14 do u need to make 100

Answers

Answer:

You cant

Step-by-step explanation:

To make 100, you cant have a solid number of 14's to make 100. The closest to 100 is 14 * 7.

How do I write a two-column proof to verify each statement


Answers

// I AM NOT SURE, IF SOMEONE SEES THIS AND ITS WRONG CORRECT ME DIRECTLY.
hmm.. never heard of properties but take a look at this :D

Plot C (-4,-5). D(-4,3), E (-3,2), and F(-8,2) in a coordinate plane. Are CD and EF congruent?

Answers

Answer: No

Step-by-step explanation:

1. The distance  between C (-4,-5) and D (-4,3) is 8

2. The distance between E (-3,2) and F (-8, 2) is 5

3. Since the measurements are not the same, the segments cannot be

  congruent

Solve for a
T
U
4x 10
12x + 151
S

Answers

Answer:

x = 10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

12x + 15 is an exterior angle of the triangle , then

12x + 15 = 4x + 10 + 85 , that is

12x + 15 = 4x + 95 ( subtract 4x from both sides )

8x + 15 = 95 ( subtract 15 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

what is the midpoint of 0.1 and 0.2

Answers

The answer is definitely 0.15

what does ( ) mean??​

Answers

Answer:

those are two parentheses, on being the start and one being the end

Write in vertex form.
y = 8(x+)2 +

Answers

Answer:

:The correct answer is :y = 8(x + 2)^2 + -15Step-by-step explanation:I just got the question correct.

howdy!!

the answer is

2 and -15!!

I need help now!!I need to turn it in

Answers

Answer:

As follows,

Step-by-step explanation:

The relation between  angle DCF and CFG is co-interior angles, or same side interior angles.

Angle(DCG+CFG)=180

Measure of DCF=180-3x=147 [Because Angle DCF+ACD=180, Angles in a straight line]

Measure of CFG=180-6x-81=33 [Because AngleCFG+HFG=180, Angles in a straight line]

Hey guys what is the slope of this graph shown below. Please note that some of these points aren't going up by ones.

Answers

20’5 is the correct slope or 5’20

Solve the equation :
7:x=2:3

Answers

Answer:

x=8

Step-by-step explanation:

Since 7-2 is 5, that means that both sides are increasing by 5.

3+5 = 8 so therefore 8 =x

There is how you solve your question. Bye now!

A moving van leaves a house traveling at an average rate of 35 mph. The family leaves the
house three-quarters of an hour later following the same route in the car, traveling at an
average rate of 50 mph. How long will it take the car to catch up with the moving van?

Answers

Answer:

31.5 minutes

Step-by-step explanation:

45x35=1575

1575/50=31.5

Yolanda was standing on the middle step of a staircase, painting a wall.She went up four steps to touch up a spot, then she went down five steps to continue painting. When she finished everything within reach,she went down six steps to the first step. Which step was the middle step. How many steps were there in the staircase. Use backwards working​ plzzzz answer i would rate 5 stars.plz help​

Answers

Answer:

hope this helps

sorry if it isn't what you're looking for

Step-by-step explanation:

(x+4)-5)-6 =1

combine the +4 and -5

x-7 =1

add 7 to both sides

x=8

Yolanda started on step 8

Mason is driving on a long road trip. He currently has 12 gallons of gas in his car. Each hour that he drives, his car uses up 1.5 gallons of gas. How much gas would be in the tank after driving for 2 hours? How much gas would be left after tt hours?

Answers

Answer: 9

12-1.5t

Step-by-step explanation:

1.5*2=3

12-3=9

1.5*t=1.5t

If he used 3 gallons of gas. Then the amount of the gas in the tank after driving for 2 hours will be 9 gallons.

What is Algebra?

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Mason is driving on a long road trip. He currently has 12 gallons of gas in his car. Each hour that he drives, his car uses up 1.5 gallons of gas.

Then the amount of the gas in the tank after driving for 2 hours will be

The amount of gas used in 2 hours will be

Used gas = 2 x 1.5

Used gas = 3 gallons of gas

Then the remaining amount will be

Remaining amount of gas = 12 - 3

Remaining amount of gas = 9 gallons

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

john earns $98.40 in an 8-hour day. what is his hourly wage?

Answers

Answer:

easy just divide it

98.40 / 8 = 12.3

12.3

breainest please

What is the geometric mean of 7 and 56 ?

Answers

Answer:

14[tex]\sqrt{2}[/tex]

Step-by-step explanation:

7 x 56 = 392

[tex]\sqrt{392}[/tex] = [tex]\sqrt{2^{3} x 7^{2} }[/tex] = 14[tex]\sqrt{2}[/tex]

:)

AM WILLING TO GIVE BRAINLIEST AND LOTS OF POINTS

Shanice's school made $850 by selling 125 tickets to the annual talent show. They sold adult tickets for $10 and student tickets cost $6. How many adult tickets did they sell? How many student tickets did they sell?

(1) Write a system of equations to represent this situation. Define your variables.

(2) Solve the system of equations algebraically using the elimination method.

(3) Verify your solution by solving the system of equations algebraically using the substitution method.

(4) Verify your solution by graphing the system of equations (I've attached the graph).

(5) Interpret your solution to the system of equations in words.​

Answers

Answer:

850/10+6=53.125

53.13/2

Step-by-step explanation:

Solve for x ... please help me

Answers

Answer:

It is letter A

Select the correct answer
Victor solved this inequality as shown:
Step 1: 3x-5>x+5
Step 2: 2x-5>5
Step 3: 2x>10
Step 4: x>5
What property justifies the work between step 3 and step 4?

Answers

Answer:

In step 3: 2x>10 in order to get for x make divided 2 in both sides where you get x>5 in step 4

Answer:

division property of equality

Step-by-step explanation:

First in order to solve we must learn the properties of equality:

Addition property of Inequality:

If a > b , then a + c > b + c

substraction property of inequality

If a > b , then a - c > b - c

Multiplication property of inequality

If a > b , then a * c > b * c (if c > 0)

Division property of inequality

If a > b , then a / c > b / c (if c > 0)

Step 3: 2x>10

Step 4: x>5

When we divide by 2x/2 and 10/2 we get x>5 so we must use the division property of equality

Consider the line with equation y=-2x + 2.
Can you write the equation of a line through
point (3,-4) that is perpendicular to the given line?

Answers

Answer:

[tex]m_{1} \times \frac{1}{m_{2}} = - 1 \\ m_{2} = \frac{1}{2} \\ \frac{1}{2} = \frac{y + 4}{x - 3} \\ 2y + 8 = x - 3 \\ 2y = x - 3 - 8 \\ 2y = x - 11 \\ y = \frac{1}{2} x - \frac{11}{2} [/tex]

HELP PLEASE!!
What is the value of x

Answers

X=-8 is your answer for this problem

A box of cereal has a width of 4 inches, and a length of 8 inches and a height of 12 inches. What is the volume of the box, in cubic inches?

Use the formula V = wh where V represents the volume, / represents the length, w represents the width, and h represents the height.

4 in.

12 in.

8 in

Answers

Answer:

384

Step-by-step explanation:

multiply all those numbers together

12 in is the answer

PLEASE HELP
bjF9YFCCHONNPLFBNPGNELIVLGNOELIUGMOR

Answers

The Answer from when you are doing the equation: Negative 8 :The answer to the question:E

Step-by-step explanation: When you add negative numbers, you are basically adding normal numbers, or atleast they look that way, you are actually subtracting but lest just pretend we are adding except they are not normal, all you have to do is add the numbers, but put a negative sign before you put in a number.

Subtract and write your answer as a mixed number 9 4/5 - 7 1/2

Answers

The answer is 2 3/10

Janna wants to measure the height of a cliff. She finds that the shadow of the cliff is 48 meters. If Janna is 1.63 meters tall and her own shadow is measured as 2.38
meters, how many meters tall is the cliff? (Round your answer to two decimal places)

Answers

Answer:

Step-by-step explanation:

get these right and ill give you brainlyest :D and a bonus of 50 points/ you need to tell me how i can give you the 50 points if you get the question right..

Answers

Answer:

5. 5k-4. 7. 13-8x. 9. 15x-5. 11. -1/4y +2

Step-by-step explanation:

it's all about combining the same variables

Hannity needs to run 50 miles a week to practice for her race. If she wants to run the same distance every day of the week, approximately how many miles must she run each day?

Round your answer to the nearest tenth of a mile.

Answers

Answer:

7.14

Step-by-step explanation:

divide 50 by the number of days in a week(7) to find how many miles she must run each day

50/7=7.14

find three consecutive even integers whose sum 72

Answers

22, 24, 26

Step-by-step explanation:

2n - 2 + 2n + 2n + 2 = 72

6n = 72

n = 72/6

n = 12

∴ so three consecutive even integers whose sum is 72 :

2n - 2

= 2(12) - 2

= 24 - 2

= 22

2n

= 2(12)

= 24

2n + 2

= 2(12) + 2

= 24 + 2

= 26

verification

22 + 24 + 26

= 46 + 26

= 72 ✓✓

!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

Answers

Answer:

a

Step-by-step explanation:

When HIPAA requires authorization elements to disclose information, the authorization must a) include core by HIPAA. b ) conforms to releases customarily used in that state . conforming to the releases customarily used by that particular health care provider . d ) include all identifying information .

(a + b + 1)2
– (a + b + 1)(x - 2) + (a + b + 1)

Answers

Answer: 5a + 5b + 5 - x(a + b)

Step-by-step explanation:

(a + b + 1)2 – (a + b + 1)(x - 2) + (a + b + 1)

2a + 2b + 2 - (ax - 2a + bx -2b -2) + (a + b + 1)

2a + 2b + 2 - ax + 2a - bx +2b +2 + a + b + 1

5a + 5b + 5 - x(a + b)

Tanner's chemistry textbook weighs 5/6 of a pound and his geometry textbook weighs 1/6 of
a pound. How much more does the chemistry textbook weigh than the geometry textbook?



i will give thanks and brainliest

Answers

okay so the answer is 4/6
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