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

Related Questions

Plz help I needs its

Answers

B. The measure of angle w is the same as the measure of angel z

helppp!!!!!! :(((((((((((((((((((((((((((((

Answers

Answer:

= <><=>=<>=<<

Here, is the answer of comparison

Identify all integers less than -14.

Answers

Answer:

An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative.

Step-by-step explanation:

Answer:

-28, -19, -18, -15,

Step-by-step explanation Cause -14 is more closer to 0 then all 4 of those negative numbers so that mean all 4 of these negative numbers are greater than -14 :) if that makes sense

(4.5)x = 26 pls help me with this it is multiplication equations

Answers

Answer:

x=5.7

Step-by-step explanation:

Answer:

x = 5.78

Step-by-step explanation:

(4.5)x = 26

4.5x = 26

x = 26/4.5

x = 5.78

pls help help help help

Answers

Answer:

Step-by-step explanation:

If x is -18, then we can change the equation to this:

17 + -18/6

who here dose not like edg

Answers

Answer:

Step-by-step explanation:

i dont have edg but i use ap'ex and i hate it so much

Answer:

MEE I am so behind. Latterly why do they give us so many lessons a day. I am just doing well I am online. I can't what until I go back to my normal school

Step-by-step explanation:

Find the surface area of each prism or pyramid. Round to the nearest tenth if necessary. Can someone help me with 17-19 for 30 points

Answers

17) 388 in^2
18) 585 in^2
19) 960 ft^2
*fyi- ^2 means squared just in case you didn’t know also hope the picture helps!

Q4) Identify which of the following are geometric sequences and which are
not
(i) 2, 6, 18, 54.....
(ii) 25,5, 1,
(iii) 1, 4, 9, 16

Answers

Answer:

(i) and (ii)

Step-by-step explanation:

For a sequence to be geometric then the ratio r between consecutive terms must be common.

(1)

2, 6, 18, 54

6 ÷ 2 = 3

18 ÷ 6 = 3

54 ÷ 18 = 3

Here there is a common ratio r = 3 , then sequence is geometric

(ii)

25, 5, 1

[tex]\frac{5}{25}[/tex] = [tex]\frac{1}{5}[/tex] and [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{1}{5}[/tex]

There is a common ratio r = [tex]\frac{1}{5}[/tex] , then sequence is geometric

(iii)

1, 4, 9, 16

4 ÷ 1 = 4

9 ÷ 4 = 2.25

16 ÷ 9 = 1.777..

There is no common ratio, then sequence is not geometric

What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.

Answers

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Answer:

29 degrees and 151 degrees!

Step-by-step explanation:

URGENT PLEASE GET THIS QUICKLY PLEASE
If f(x)= 2x+7, find f(2)=

Answers

Answer:

Step-by-step explanation:

2(2) +7

14+7

Answer:

Step-by-step explanation:

The current population of Rochester is 211,000 and is decreasing at a rate of 4.1% every ten years. Which function can be used to find the population 30 years from now?

Answers

Answer:

211,000(0.97)t

Step-by-step explanation:

Firstly; Write the exponential decay function for this situation.

y = a(1 – r)t Write the formula.

= 211,000(1 – 0.041)t Substitute 1700 for a and 0.03 for r.

= 211,000(0.97)t Simplify.

Next; Find the population in function.

y = 1700 Substitute 12 for t.

≈ 1180 Use a calculator and round to the nearest whole number.

The population in 30 years function will be approximately 211,000(0.97)t.

The temperature in a freezer is set at -18°C. The temperature in a
refrigerator is 210 warmer. Should the temperature of the refrigerator be
represented by a positive integer or negative integer? Explain your
reasoning.

Answers

Answer:

Positive

Step-by-step explanation:

refrigerator is 210, so it positive.

HELPP ME PLEASE!!!!!

Answers

Answer:

-6×-4 and -2×-12 are pairs

-3×4 and 6×-2 are pairs

-8×-2 and 4×4 are pairs

the rest are left overs

Please help I will give brainlyest!!!
If a rectangular cross-section with coordinates at (1, 1), (1, 4), (3, 4) and (3, 1) is rotated about the line y = 1, what will be the resulting three-dimensional object?

Answers

Answer:

cylinder

Step-by-step explanation:

Answer

cylinder!!

Step-by-step explanation:

so the points "(1, 1), (1, 4), (3, 4) and (3, 1)" they are all positive so this makes this easier tbh so it looks like this once u put them on a grah

. .

its a rectangle then it says to rotate on y = 1 which u look at the graph u just put this rectangle on its side like this

. .

so then look at the answer options

A.) Cone

B.)Cylinder

C.)Sphere

D.)Pyramid

so it CANT be A bc 1 its a rectangle and if it was a cone it would have 3 points, not 4, bc it would be a triangle

It can be B bc on a graph it will be 2D and a Cylinder has 4 points on a graph(in 2D) which the problem is telling you to make something 2D into something 3D...and is a rectangle in 2D

It CANT be a C bc in 2D it would be a circle and straight up, a square isnt a circle, and the points on the problem is a square ant there would be so many points to put down if it was a circle

It CANT be a D bc once again this would be a triangle and that would have 3 points, or maybe 5(if your looking overhead of the Pyramid where u can see all 4 corners, like a square then the middle point) so a square has all equal sides, rectagle does not, it has 2 and 2 equal sides. 2 sides being small and paralell, and 2 long sides being parallel.

:) have a good day

btw answer is

cylinder!!

Describe an Angle Bisector

Answers

Answer:

An angle bisector is a straight line that divides the angle into two equal parts.

Step-by-step explanation:

Answer:

The (interior) bisector of an angle, also called the internal angle bisector (Kimberling 1998, pp. 11-12), is the line or line segment that divides the angle into two equal parts. The angle bisectors meet at the incenter.

Step-by-step explanation:

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The area of a rectangular patio is 3x2 + 17x + 20 ft
Which of the following could be dimensions of the patio?
O A. X+ 5 ft by 3x + 4 ft
B. 3x + 5 ft by x + 4 ft
O
C. X + 5 ft by x + 4 ft
O D. 3x + 5 ft by 3x + 4 ft

Answers

Answer:

Step-by-step explanation:

can any one help me i do not get it

Answers

Answer:

x=30

Step-by-step explanation:

The figure on the right has 12 in. on one side and 10 on the other and the figure on the left is 3 times the number that the figure on the left has. When you multiply 3 and 12 you get 36. From there on you can infer that you multiply 10 by 3. Your solution to x is 30.

Answer: 30

Step-by-step explanation:

36/3=12, 30/3=10

Find the domain of the relation:
{(-5, -4), (-2, -1), (1, 0), (2, 2), (4,3)}
O {-5, -4, -2, -1, 0, 1, 2, 3, 4}
O {-5.-2. 1. 2. 43
(-4,-1.0.2, 3)
-4.-1.2.3)

Answers

the domain is -5, -4, 1, 2, 4

Someone help please! D:

Answers

Answer:

D) (10,22)

Step-by-step explanation:

based on given slope and point, the linear equation is y = 9/5x + 2

plugging in x-and-y values only results in a true statement for option D

example:

22 = 9/5(10) + 2

Does 22 = 18 + 2? Yes

HELP ILL GIVE BRAINLIEST IF RIGHT!!!!

Answers

Answer:

Y is 5 and X Is 5 Very easy . . . so it's just 5

i have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?

Answers

Answer:

3/4 x 6=18/4

Step-by-step explanation:

Reduce fraction to lowest terms

18 over 4

18 /4

= ( 18 ÷ 2 ) over ( 4 ÷ 2 )

18 ÷ 2

4 ÷ 2

= 9 over 2

9 /2

2 is the greatest common divisor of 18 and 4. Reduce by dividing both numerator and denominator by 2.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

9 over 2

9 /2 = 4 and 1 over 24

1 /2

9 ÷ 2 = 4 remainder 1

Answer:

7 and a half minutes

Step-by-step explanation:

this is because 15 is 1/4 of a hour and 7 and a half is half of 15 if you spend 7 and a half on all homework assignments you will use up 45 minutes or 3/4 of a hour

i’m tryna finish my exit ticket asap please i don’t need no links i just need help and the answer please

Answers

Answer:

Step-by-step explanation:

'Do you believe the quarantine crisis will leave no scars'?'.... , I believe we
will feel its bite for years'.

A. By contrast
B. On the contrary
C. O Instead

Answers

Answer:

B .on the contrary...........

I need the Answers to this giving brainliest to the person who does not send me a unknown link and actually does the work

Answers

which question do you need to be answered? do you want all of them?

Answer: Look below!

Step-by-step explanation:You can use the Calc below in the pictures

1. √2/2

2. -√2/2

Proof it works!

Just some points have fun

Answers

Answer:

thx for the points

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes it's fun

pease help me asp!!

1. all real numbers greater than –7

2. all real numbers less than 1

3. all real numbers greater than or equal to 9

4. all real numbers less than or equal to 10

5. all real numbers less than 8 and greater than 3

6. all real numbers greater than 7 or less than 5

7. all real numbers less than 5 and is at least 0
8. All real numbers less and 4 and is at least –9

9. all real numbers less than –2 and is at least –

10. all real numbers greater than –6 or less than –1

can someone help me with this? ill mark the brainl.iest!!

Answers

Answer:

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The perimeter of the triangle is 30 cm.
The perimeter of the rectangle is also 30 cm.
b
a
a
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a
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Use this information to find the area of the square below.
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ਬਰੀ ਹੈ। ਅਜੋਕੇ ਸੰਤ
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Answers

Answer:

Step-by-step explanation:

3a=30... equation 1

2a+2b=30... equation2

equation 2 => a+b=15 ... equation 3

equation 1 => a = 10 ... equation 4

equation 4 & equation 3 => b = 5

5^2 = 25

Answer:

20 cm

Step-by-step explanation:

triangle

30/3=10=a

rectangle

30-20=10/2=5=b

square

4 times 5=20

Somebody help please!<333

Answers

Answer:

C is correct I think.

Step-by-step explanation:

Tell me if I am right.

Have a nice day!

Which is the best approximation of PX?

Answers

Answer:

The best known approximations to π dating to before the Common Era were accurate to two decimal places; this was improved upon in Chinese mathematics in particular by the mid-first millennium, to an accuracy of seven decimal places.

Step-by-step explanation:

Find the area of the figure shown below and choose the appropriate result.

A. 96 mm^2
B. 102 mm^2
C. 90 mm^2
D. 140 mm^2

Answers

Area of rectangle is 9x 10- —-90 mm
Are of triangle is 6x4x1/2—- 12
Together 90+12=102
Answer is B

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