What is the vertex of the equation f(x) = x^2-12x+9

Answers

Answer 1

Answer:

the vertex is (6,-27)

Step-by-step explanation:


Related Questions


In AOPQ, m2O = (2x – 5)º, m P = (3x – 8)°, and mZQ = (10x – 17).
What is the value of x?

Answers

9514 1404 393

Answer:

  x = 14

Step-by-step explanation:

The sum of angles in a triangle is 180°:

  ∠O +∠P +∠Q = 180°

  (2x -5)° +(3x -8)° +(10x -17)° = 180°

  15x -30 = 180 . . . . . divide by °, collect terms

  x -2 = 12 . . . . . . . . . divide by 15

  x = 14 . . . . . . . . . . . .add 2

The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.​

Answers

Answer:

Isn't it simpler just to take the square root of 1,521?

It's 39

Step-by-step explanation:

Which one is correct

Answers

Answer:

2ft

Step-by-step explanation:

Answer:

2 ft

Step-by-step explanation:

The triangle has a dilation of 1/3 and we can assume that the triangles are congruent

So we take 6 and divide it by 3 and get 2

The answer is 2 ft

An exponential relationship is modeled by y = 31(0.81)x , what is the percent rate of change for this function?

Answers

Answer:

19%

Step-by-step explanation:

An exponential relationship is modeled by y = 31(0.81)^x , what is the percent rate of change for this function?

From the above exponential relationship given, we can see that this exponential relationship is an exponential decrease.

Where the formula:

y = a(1 - r)^t

Where a = Initial amount

r = rate of change in percent

t = time in years

y = a(1 - r)^x = y = 31(0.81)^x

1 - r = 0.81

r = 1 - 0.81

r = 0.19

Converting 0.19 × 100

= 19%

what's the simplified expression?

Answers

Answer:

6x⁴ + 20x³ - 30x² + 4

Step-by-step explanation:

Collect the like terms

6x⁴ + 18x³ + 2x³ - 36x² + 6x² + 12x - 12x + 4

SImplify expression

6x⁴ + 20x³ - 30x² + 4

Answer:

6x⁴- 18x³-4

i think

Step-by-step explanation:

When factored completely, which is a factor of 3x3 − 9x2 − 12x?
A.
(x − 3)
B.
(x − 4)
C.
(3x − 1)
D.
(3x − 4)

Answers

Answer: I believe it’s D

Step-by-step explanation:

A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1,040 gallons after 9 minutes.

Answers

Answer:

Answer: 35 minutes

Step-by-step explanation:

Step-by-step explanation:

For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:

= (1320 - 1040) / (9 - 2)

= 280/7

= 40 gallons per minute

Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:

= 1320 gallons + (40 × 2)

= 1320 gallons + 80 gallons

= 1400 gallons

The time taken for the pool to be completely drained will be:

= Total water in pool / Gallons drained per minute

= 1400 / 40

= 35 minutes

Answer:

35 minutes

Step-by-step explanation:

There are 40 gallons drained per minute.

What is the equation of the line in slope-intercept form?

Answers

Answer:

y=mx+b :)

Step-by-step explanation:

How can I get better at math so I don't flunk?

Answers

Answer:My suggestion is practice what you learned after each class for like 10-20 min and pay close attention in class. Wish you the best of luck.

Step-by-step explanation:

0.000487 an Scientific Notation

Answers

Answer:

4.87 to the fourth power

Step-by-step explanation:

0.000487 in Scientific Notation:

4.87  * 10^-4

<
6/11
What is the equation of the line that passes through point (4. 12) and has a y-intercept
of - 2?

Answers

Answer:

7x - 2y - 4 = 0

Step-by-step explanation:

from the perpendicular equation formula,

y/a + x/b = 1

x1 = 4

y1 = 12

a = -2

b= ?

Inserting the values into the above formula,

12/-2 + 4/b = 1

-6 + 4/b = 1

4/b = 7

b = 4/7

putting a and b into the original formula,

y/-2 + x/(4/7) = 1

-y/2 + 7x/4 = 1 (×4)

-2y + 7x = 4

7x - 2y - 4 = 0

Therefore, the equation of the line is;

7x - 2y - 4 = 0

Please help!!
if you can explain if not that is fine.

Answers

Answer:

The graph of y > 3x − 4 has shading above a dashed line. The graphs of the inequalities will intersect.

8 students is ?% of 20 students.

Finish the missing percent

Answers

Answer:

40%

Step-by-step explanation:

2xy +3y²-6y factor the following expression

Answers

Answer:

y(2x+3y-6)

Step-by-step explanation:

2xy+ [tex]3y^{2}[/tex]-6y

Find the H.C.F

2xy= 2×x×y

3y²= 3×y×y

6y= 6×y

H.C.F= y

2xy÷y+ 3y²÷y- 6y÷y

= 2x+ 3y- 6

= y( 2x+ 3y-6)

Frank drove from New York City to Los Angeles. The distance between the two cities is 2,760 miles. After 16 hours, he still had to drive 1,400 miles to reach Los Angeles. How far did he drive per hour?

Answers

Answer:

fghjgfvgh

yguhyu

Step-by-step explanation:

Answer:

frank traveled 2760-1400 = 1360 miles


traveled 16 hours


This means he drove: 1360 miles / 16 hours = 85 miles per hour.

The value of a boat if depreciating at at a rate of 9% per year. In 2006 the boat was worth $17,800. Find the worth of the boat in 2013.

Answers

Answer:

The worth of boat in 2013 will be $9202.6

Step-by-step explanation:

Rate of depreciation = 9% = 0.09

Cost of Boat in 2006 =$ 17,800

Cost of Boat in 2013 = ?

Years = 2013-2006= 7 years

The formula used is: [tex]\mathbf{A=P(1+r)^{t}}[/tex]

Since the value of boat is depreciating the value of r will be r=-0.09

Here P = 17,800 , r=-0.09 and t = 7 years Finding A

[tex]A=P(1+r)^{t}\\A=17,800(1+(-0.09))^7\\A=17,800(0.91)^7\\A=17,800(0.517)\\A=9202.6[/tex]

So, the worth of boat in 2013 will be $9202.6

Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings.

A. 43 + 72x ≤ 1,128
B. 43 + 72x ≥ 1,128
C. 43x + 72 ≥ 1,128
D. 43x + 72 ≤ 1,128

Answers

Answer:

D. 43x + 72 ≤ 1,128

Step-by-step explanation:

She  has $1,128

Total price $72

43x since its unit rate for each

43x + 72 is less than or equal to $1,128

Answer:

D. 43x + 72 ≤ 1,128

Step-by-step explanation:

Good luck! Hope this helped :)

Which of the equations below represents a line perpendicular to the y-axis?
A.
x = 6
B.
y = -6
C.
y = 6x
D.
y = x

Answers

Answer:

B. y = -6

Step-by-step explanation:

As you can see the graph I done is perpendicular

Answer:

B

Step-by-step explanation:

A line perpendicular to the y- axis is a horizontal line parallel to the x- axis, with equation

y = c ( where c is the value of the y- coordinates the line passes through )

The only equation in this form is

y = - 6 → B

PLEASE HELP:( thank youuuu!!

Answers

Answer:

A

Sorry I just have to right more to turn it in but good luck with your math work.

Shiloh and her friends spent the day at an amusement park. In the first hour, they rode two rides. After 2 hours, they had ridden 4 rides. They had ridden 6 rides after 3 hours.

Write a function to represent the arithmetic sequence.
f(n)=

Answers

Answer:

The function will be: f(n) = 2n

Step-by-step explanation:

An arithmetic sequence is a sequence where the common difference between consecutive terms is same

The sequence according to given information is:

2,4,6...

Here

a_1 = 2

a_2 = 4

a_3 = 6

the common difference will be:

[tex]d = a_2-a_1 = 4-2 = 2\\d = a_3-a_2 = 6-4 = 2[/tex]

The arithmetic sequence is given by:

[tex]a_n = a_1+(n-1)d[/tex]

Putting the values

[tex]a_n = 2+(n-1)(2)\\a_n = 2+2n-2\\a_n = 2n[/tex]

Hence,

The function will be: f(n) = 2n

How many games did he win? Help

Answers

28 games

I just got banned, I was expert rank...

1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7
ques #1: What happens to the mean and standard deviation of the data set when the 7 is changed to a 70?

ques #2: For the data set with the value of 70, why would the median be a better choice for the measure of center than the mean?

Answers

Answer:

The mean would get bigger becuase you are adding in a bigger number there for the mean would increase.The standard deviation would change as well because then again you are adding a bigger number and standard diviation is basically the difference between the gratest and least.  For #2 no the median wouldn't chnage becuase the 70 is going in place for the 7 so it would just fill it's spot and wouldn't effect the data set.

Step-by-step explanation:

The median would be a better choice for the measure of center becuase the mean is telling you the average and the median is actully telling you where the middle of the data set is.

The mean is the average of a group of data. The data set  added up and divided by the number of data. The mean is sensitive to extreme data.

When 7 is changes to a 70 then mean and standard deviation both changes.

For the given data set median be a better choice for the measure of center than the mean because mean is sensitive to extreme data and median is the point at which half the data are above and half the data are below.

The median is the point at which half the data are above and half the data are below. Medians are less sensitive to extreme scores . Therefore, median is center point of data set.

Standard deviation shows how much variation there is from the mean. A low SD indicates that the data points tend to be close to the mean, whereas a high SD indicates that the data are spread out over a large range of values.

Learn more:

https://brainly.com/question/14532771

Any help would be appreciated(brainly for best answer)

Answers

Answer:

a. x=100 b. x=30

Step-by-step explanation:

A: <1 and <2 are supplementary by consecutive interior angles theorem

x + x-20 = 180

2x-20=180

2x=200

x=100

B: <1 and <2 are congrunt by corresponding angles postulate

3x-5=x+55

2x=60

x=30

Complete the table for the function y=f(1/3x)

Answers

Answer:

Step-by-step explanation:

3. You purchase a car using a $20,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work.
(b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work.
Answer:

Answers

Answer:

a) $4000

b) $2000

Step-by-step explanation:

a)

interest = Principal x rate as decimal x time

interest = 20,000 x 0.05 x 4

interest = 4000

b)

interest = Principal x rate as decimal x time

interest = 20,000 x 0.05 x 2

interest = 2000

you save $2000 if you pay after 2 years

Answer:2,500

Step-by-step explanation:

Zion walked 1.7 miles in 1 hour. If he walks at the same rate, how far will he walk in 1.5 hours? Use partial products to find the answer.

Answers

Answer:

1 hour = 1.7 miles / 1.5 hours = ? Miles

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

Step-by-step explanation:

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

Help! How many points per star does Jayce earn from gold stars?

Answers

160/80=2, and 150/30=5 so he earns 3 more points from gold stars than silver stars

can someone help me ?

36 + 3w = -36, w = ?
4 – 9g = -23, g = ?

Answers

Answer:

1. w=-24

2. g=3

Step-by-step explanation:

20 Points
Can anyone help me with these Geometry questions? Will give Brainliest.

Answers

Answer:

give brain list first

Step-by-step explanation:

plz help!!
ALEKS math

Answers

Answer:

31

Step-by-step explanation:

10-3= 7 so 3+7=10 and 10+7=17 and you just do this to find the answer

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