Complete the square to rewrite y=x^2-6x+14 in vertex form. Then state whether the vertex is a maximum or minimum and give is coordinates. A. - Minimum at (3,5) B. - Minimum at (-3,5) C. - Maximum at (-3,5) D. - Maximum at (3,5)

Answers

Answer 1

Answer:

3,5, Minimum

Step-by-step explanation:

y=x²-6x+14

y=(x²-2*3x +3²-3²)+14

y=(x²-2*3x+3²)+14-9

y=(x-3)²+5

a=1

p=3

q=5

a>0 ⇒ vertex is minimum

V(p,q) ⇒ V(3;5)


Related Questions

Please please help I’m so confused

Answers

Answer: [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

When any number has a negative exponent, all the negative exponent is doing is flipping the sides.

When we plug -3 in for x we get [tex]-3^{-2}[/tex].

Now just imagine the -3 in fraction form as [tex]\frac{-3}{1}[/tex]. And all you do now is just flip the sides to get [tex](\frac{1}{-3} )^{2}[/tex]

And now apply the exponent 2 to the 1 and negative 3.

1 to the power of 2 is just 1

-3 to the power of 2 is 9.

So your answer is [tex]\frac{1}{9}[/tex]

The origin is contained in the solution set for this system of inequalities
y< 2x + 4
y> -2x - 2
Select one:
O True
O False

Answers

Answer:

  O True

Step-by-step explanation:

If we substitute (x, y) = (0, 0) into both inequalities, we have ...

  0 < 2·0 +4   ⇒   0 < 4 . . . true

  0 > -2·0 -2   ⇒   0 > -2 . . . true

The point (0, 0) satisfies both inequalities, so is contained in the solution set.

attachment help asap

Answers

Answer:

D, C, A, B

Step-by-step explanation:

Find common factor:

60 is the common denominator

2/5=24/60

2/3=40/60

1/4=15/60

1/10=6/60

Answer:

A. 2/5 = 0.4

B. 2/3 = 0.66

C. 1/4 = 0.25

D. 1/10 = 0.1

Arranging them in the box we have

D , C , A , B

Since D is the smallest followed by C followed by A followed by B which is the largest

Hope this helps

Hi, can someone please answer this question? Thanks!!!

Answers

Answer:

m∠QPR = 20°

Step-by-step explanation:

Step 1: Find x

4x + 27 + 9x - 115 = 107

13x - 88 = 107

13x = 195

x = 15

Step 2: Find m∠QPR

9(15) - 115

135 - 115

m∠QPR = 20°

Both Euclidean and non-Euclidean geometry have been accepted as valid types of geometry. True or False?

Answers

Answer: true

Step-by-step explanation:

A map is drawn to a scale of 1:50000.The distance between long mountain and plaine des papayes is 17.5 cm on the map.find the actual distance in km.

Answers

Answer:

8.75 km.

Step-by-step explanation:

You can set up a ratio of the map to the actual distance of [tex]\frac{1}{50000}[/tex].

Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:

[tex]\frac{1}{50000}[/tex]=[tex]\frac{17.5 cm}{x cm}[/tex] By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.

However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.

what is the ph of a 6.2 x 10-6 M KOH

Answers

Answer:

10

Step-by-step explanation:

i have no flipping i think im wrong

12:13:14 = 48:x:56
What is x?

Answers

Answer:

x = 52

Step-by-step explanation:

You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52

help please
2 decks of cards 1st deck has red(R) and black (B)
2nd deck has hearts(H) clubs(C) diamonds(D) and spades(S) how many different combinations are there

Answers

Answer:A) (1 x 4) + (1 x 4) = 8

There are 8 possible combinations

B) BC:RD:RS:BH:BS:RH:BD:RC

Step-by-step explanation:

Hope it helps. Step by step in on the top. :)

A triangle has sides of length 2, k and 9. What are the
possible values of k?

A) k>9
B) 7 C) k<2
D) 7 ≤ k ≤ 11

Answers

Answer:

I think A

Step-by-step explanation:

I'm not really sure but I think it's A assuming the triangle is not an equilateral

Which explains wether or not the graph represents a direct variation? LOOK AT THE PHOTO pls pls pls help

Answers

Answer:

The first choice.

Step-by-step explanation:

Direct variation is represented by y = kx where k is a constant and the graph passes through the origin.

Here k = 3..

The fletcher family puts loose change into a jar every evening. Once a month, the family counts the coins and prepares to take it to the bank, but removes all the pennies first. Last month, they found there were 14 more quarters than dimes, and the number of nickels was 8 less than 4 times the number of dimes. If the total value of the nickels, dimes, and quarters was $15.75, how many dimes did they have?

Answers

Answer:

They have 23 dimes

Step-by-step explanation:

Let x be the number of dimes

1 dime = 0.1 dollar

x dimes = 0.1x dollars

They found there were 14 more quarters than dimes.

No. of quarters = x+14

1 quarter = 0.25 dollar

(x+14) quarter =0.25 (x+14)

The number of nickels was 8 less than 4 times the number of dimes.

So, No. of nickels= 4x-8

1 nickel = 0.05 dollar

(4x-8) nickel = 0.05(4x-8) dollar

The total value of the nickels, dimes, and quarters was $15.75.

So,0.1x+0.25 (x+14)+ 0.05(4x-8)=15.75

x=23

Hence they have 23 dimes

yooo please help asap!!! marking brainiest!!!

Answers

Answer:

[tex] - x {}^{2} - 10 = 34[/tex]

HELP ITS ABOUT TRIANGLESSSS. Image is attached Explanation neede plzzz

Answers

Answer:

D.

Step-by-step explanation:

So angle 2 = 180 - angle 1

Angle 1 = angle 3 + angle 4.

Angle 2 = 180 - angle 3 - angle 4

So, you can come to the conclusion that (angle 1 + angle 2) = 180°

and (angle 3 + angle 4 + angle 2) = 180°

The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle​

Answers

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of ration is written as 58:42.

The ratio has the greatest common factor as 2.

58÷2:42÷2

29:21

The simplified ratio becomes 29:21.

How would you write 4n + 3 as a verbal expression

Answers

4 times a number increased by 3.

When we have a number that appears

right before a variable, it means multiplication.

So 4n means the same thing as 4 times a number.

Remember, n is a variable which is just a

letter that represents any number.

Since we are adding 3 to 4n, we can say

4 times a number increased by 3.

So 4n + 3 can be written as 4 times a number increased by 3.

The product is 4n, then the added +3.

4n + 3

4 × n + 3

So the verbal expression can be said as:

''The product of four times a number 'n' added with 3.''

In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?

Answers

The probability that a student chosen randomly from the class plays basketball or baseball is 0.56. 

We are able to utilize the equation:

P(B or b) = P(B) + P(b) - P(B and b)

where

B speaks to playing ball

and b speaks about playing baseball.

From the given data, we have:

P(B) = 5/27 (the likelihood of playing ball)

P(b) = 12/27 (the likelihood of playing baseball)

P(B and b) = 2/27 (the likelihood of playing both sports)

Substituting these values into the equation, we get:

P(B or b) = P(B) + P(b) - P(B and b)

= 5/27 + 12/27 - 2/27

= 15/27

= 5/9

Hence, the likelihood that an understudy chosen haphazardly from the course plays ball or baseball is 5/9 or around 0.56. 

To know more about probability refer to this :

https://brainly.com/question/24756209

#SPJ1

Which transformation(s) can map TriangleMNQ onto TrianglePQN?

translation only
reflection only
rotation, then reflection
rotation, then translation

Answers

Answer:

Translation

Step-by-step explanation:

Answer:

D. Rotation then translation

Step-by-step explanation:

pls Answer my question.

answer it I will make brain list

please answer quickly.​

Answers

Answer:

sinP = 7/25

cosQ = 7/25

tanP = 7/24

cotQ = 7/24

secP = 25/7

cscQ = 25/24

Step-by-step explanation:

sin∅ is opposite over hypotenuse

cos∅ is adjacent over hypotenuse

tan∅ is opposite over adjacent or sin∅/cos∅

csc∅ is hypotenuse over opposite or 1/sin∅

sec∅ is hypotenuse over adjacent or 1/cos∅

cot∅ is adjacent over opposite or cos∅/sin∅

Since triangle RQP is a right triangle, we can use trig and Pythagorean Theorem: a² + b² = c²

The missing side length RQ after we use Pythagorean Theorem would be 7.

From there, we can find the trigonometric values.

Answer:

Step-by-step explanation:

what is a graph that has a limited number of data point

Answers

Answer:

Line Graph

Step-by-step explanation:

A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2. Which exponential function is represented by the table?

Answers

Answer:

D.

Step-by-step explanation:

The exponential function is represented by the table is,

f(x)=0.8(2^x).

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The first column is labeled x with entries negative 2, negative 1, 0, 1, 2.

The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2.

The exponential function is represented by the table is,

f(x)=0.8(2^x).

To learn more on function click:

brainly.com/question/21145944

#SPJ5

An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table. here is the graph: Time (years): 0, 1, 2, 3 Value (dollars): 20000, 18000, 16200, 14580

Answers

Answer:

D

Step-by-step explanation:

A is not right as we don't know the formula used so we cant say the x intercept

B is not right as the function is not liner

C The function is not liner

That leaves D!

hope this helps!

Answer:

D

Step-by-step explanation:

3/4 of a worker's earning is #630. Find his total earning for the month​

Answers

Answer:

840

Step-by-step explanation:

Let x be the total earning.

3/4 × x = 630

x = 630 × 4/3

x = 840

The worker’s total earning for the month is 840.

Which of the following is a like radical to 6x2?
o x(V6x
(VR)
o 6
3
O
4
6x2
o x(VB)

Answers

Answer:

3

Step-by-step explanation:

The wheels of a car are of radius 40cm each, if the car is travelling at a speed of 66km/h, find the number of revolutions made by each wheel in 20 minutes​

Answers

Answer: Each wheel makes 437.5 revolutions in 20 mins

Step-by-step explanation:

Circumference = 2πr

Given that the radius is 40 cm

Circumference = 2π(40) = 80π cm

Find the distance traveled in 20 mins

Speed = 66 km/h

1 hour = 66 km

Rewrite hour into min

60 min = 66 km

1 min = 66 ÷ 60 = 1.1 km

Rewrite km in cm

1.1 km = 1.1 x 10,000 cm = 110,000 cm

Find the number of revolutions in 20 mins:

1 revolution = 80π cm

Number of revolution = 110,000 ÷ 80π = 437.5

plzzzzz help x_4x+4 = 0​

Answers

Answer:

x = -1

Step-by-step explanation:

4x + 4 = 0

Subtract 4 on both sides.

4x = 0 - 4

4x = -4

Divide both sides by 4.

x = -4/4

x = -1

Answer:

So the value of x is -1

Step-by-step explanation:

4x+4=0

Subtracting 4 on both sides

4x+4-4=0-4

4x=-4

Dividing 4 on both sides

x=-4/4

x=-1

which number line represents the solution to the inequality

Answers

Answer: B), the second one

Explanation: x is greater than or equal to 5

Grace wants to attend University of Oklahoma. One year at University of Oklahoma costs approximately $20,000. She currently has $4,000 in savings. Grace has received a one-time grant of $1,000 and an annual academic scholarship for $4,000. She plans to enroll in the work study program that will pay $9,000 annually for part-time work. How much will Grace need to borrow in student loans in order to attend University of Oklahoma for 4 years?

Answers

Answer:

Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.

Step-by-step explanation:

Cost for one year at University of Oklahoma = $20,000

Cost for 4 years = 4 × $20,000 = $80,000

Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000

Amount she needs to borrow = $80,000 - $57,000 = $23,000

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will
need. The garden is in the shape of a rectangle with vertices at (3,9) (5, 9) (3, 3) (5,3). Find the total length of border
needed.

Answers

Answer:

16ft

Step-by-step explanation:

Each side is 2 units long, 2^4 or 2x2x2x2 is 16.

Can somebody help me with this ?? :)

Answers

Answer:

B.

Step-by-step explanation:

ABC ≅ XYZ

∠A≅∠X

∠B≅∠Y

∠C≅∠Z

Also, should be

AB =XY

BC=YZ

CA=ZX

By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.

Answer B.

The correct answer is b
Other Questions
Which of the following could be used as a text for independent reading practice?a library booka 12 page magazine articlean online article published by a reputable news agencyAll of these choices are correct. please help me find the answer This is how osmium appears in the periodic table. Rounded to the nearest whole number, how many neutrons, on average, are in an atom of osmium? 76 114 190 266 If someone can please help me with this question Im stuck The sale price of last years hottest game is 30% off the retail price. The game sold last year for $86.00. What is the sale price? A. $25.80 B. $60.20 C. $83.42 D. $111.80 Stone bridge neighborhood garage sale had these cash receipts for 5 days: $214.50, $125.17, $245.30, $165.34, $58.75. What were the total cash receipts? If the temperature is 3 C and it drops by 12 C. What is the new temperature? Two common formats for a business letter are block and _____. The radius of a circle is 4 miles. What is the length of a 45 arc?45r=4 miGive the exact answer in simplest form. An 60-m long wire of 5-mm diameter is made of steel with E = 200 GPa and ultimate tensile strength of 400 MPa. If a factor of safety of 3.2 is desired, determine (a) the allowable tension in the wire (b) the corresponding elongation of the wire Angles A and B are the acute angles of a right triangle. If the tangent of A is 2.1445, the angle B measures what is the recursiveformula for this geometric sequence? 4,-12,36,108 A 2-kg block is released from rest at the top of a 20-mlong frictionless ramp that is 4 m high. At the same time, an identical block is released next to the ramp so that it drops straight down the same 4 m. What are the values for each of the following for the blocks just before they reach ground level.Required:a. Gravitational potential energy Block a_____ J Block b _____ Jb. Kinetic energy Block a _____ J Block b _____c. Speed Block a _____ J Block b _____ Jd. Momentum Block a _____ J Block b _____ J According to the Phillips curve, policymakers could reduce both the inflation rate and the unemployment rate by Group of answer choices increasing the money supply. raising taxes. increasing government expenditures None of the other answers is correct Give your answers to 1 d.p. where necessary We know that passengers can be either helpful or harmful to a driver. Describe a pro and a con of having passengers in your car. Also, explain a strategy you will use to manage teen passengers that ensures safety in your vehicle. how to solve this? please help me What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to 2 all real numbers greater than or equal to 3 Can someone please help The Environmental Protection Agency must visit nine factories for complaints of air pollution. In how many ways can a representative visit five of these to investigate this week? Since the representative's travel to visit the factories includes air travel, rental cars, etc., then the order of the visits will make a difference to the travel costs.