The function g(n) = n2 − 16n + 69 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for g(n). (2 points)

Answers

Answer 1

Answer:

Step-by-step explanation:

A) y + ? = n^2 - 16n + ? + 69

y + 64 = n^2 -16n + 64 + 69

y + 64 = (n-8)^2 + 69

y = (n-8)^2 + 5

B) vertex is (8,5) because the value of a vertex is always (h,k) from the parent vertex function:

y = a(x-h) + k

it's a minimum only because the (a) value is positive

C) axis of symmetry = 8


Related Questions

What is the solution to the system of equations?
7x-2y = -24
5x+ 5y = 15
(2, 5)
(-2,5)
(-2,-5)
(2,5)

Answers

The solution is 5x+ 5y = 15

Answer:

-2,5

Step-by-step explanation:

What is the range for this data set?
37 years
9 years
41 years​

Answers

Answer:

30 years

Step-by-step explanation:

41 minus 11=

Which of the following describes how to translate the graph of y = Ixl to obtain the graph of y = lx + 1l - 2?
shift right 1 and down 2
shift left 1 and down 2
shift right 1 and up 2​

Answers

Answer:

Shift left 1 and down 2

Step-by-step explanation:

making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonnaise. how many outcomes are there A. 14 C. 16 B. 12 D. 19

Answers

The answer is 12

Ham, swiss, mustard

Ham, swiss, mayonnaise

Ham, provolone, mustard

Ham, provolone, mayonnaise

Turkey, swiss, mustard

Turkey, swiss, mayonnaise

Turkey, provolone, mustard

Turkey, provolone, mayonnaise

Roast beef, swiss, mustard

Roast beef, swiss, mayonnaise

Roast beef, provolone, mustard

Roast beef, provolone, mayonnaise

The measure of an exterior angle of a triangle is equal to which of the following measures?

A. The measure of its complementary angle
B. The measure of its adjacent angle
C. The sum of the measures of the interior angles
D. The sum of the measures of its remote interior angles

Answers

Answer:

C. The sum of the measures of the interior angles

Step-by-step explanation:

An exterior ∠ is equal to the addition of the two Δ angles not right next to it.The 2 exterior angles at each vertex are = in measure because they are vertical angles.

• The exterior angles (taken one at a vertex) always total 360º

Triangle A’B’C’ is the image of triangle ABC.

On a coordinate plane, triangle A B C has points negative 4, negative 1), (negative 5, negative 5), (negative 3, negative 4). Triangle A prime B prime C prime has points (3, 4), (4, 8), (2, 7).

Which transformations could have been used to create A’B’C’ ? Choose all that apply.
a 180Degrees rotation about the origin and then a translation 3 units up and 1 unit left
a translation 3 units up and 1 unit left and then a 180Degrees rotation about the origin
a 90Degrees clockwise rotation about the origin and then a reflection over the y-axis
a 90Degrees counterclockwise rotation about the origin and then a reflection over the x-axis
a translation 3 units down and 1 unit right and then a 180Degrees rotation about the origin

Answers

The Answer is A and D

Hope this helps

Answer:

Its the First and Last answer on Edg

Step-by-step explanation:

I took the test

What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches?

Answers

Answer:

The area of the base is 14.5π in²

Step-by-step explanation:

The volume of a cylinder is given by

Volume =base\:area \times height

Or

V=Bh

It was given that the volume of the cylinder is 174π in³.

The height was given as 12 inches.

We substitute to get,

174π=12B

Divide both sides by 12 to get:

B=14.5π in²

Hence the area of the base is 14.5π in²

Hope this helpsBrainliest plzand have a wonderful day

Answer:

area of base =  14.5π in²

Step-by-step explanation:

the area of the base of a cylinder with a volume of 174π in^3 and a height of 12 inches is found by applying the formula for the volume of a cylinder:

V = πr²h

Here  the area of the base of a cylinder with a volume of 174π in³ and a height of 12 inches, and so:

V = πr²(12 in) = 174 π in³

Dividing both sides by 12 in isolates πr², which is the area of the base:

                               

                                   174π in³

area of base = πr² = --------------- = 14.5π in²

                                     12 in

Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10

Answers

Answer:

7

Step-by-step explanation:

x^5/x^-2=x^n

x^5=x^n×x^-2

x^5=x^-2+n

5=-2=n

n=7

this is 100% correct

plzz mark me brainliest

What are all the numbers congruent to #1?

Answers

Answer: All angles are congruient to 1

Step-by-step explanation:

So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.

Answer: it is 90

Step-by-step explanation: so they are all congruent

Which point lies on the y-axis

Answers

Answer:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step explanation:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step

A rectangle is 36 inches x 48 inches.
Pin.
What is its perimeter?
What is its area?

Answers

Answer:

Area is: 1,728 inches

Perimeter is: 168 inches

Step-by-step explanation:

Area= Length times width

Perimeter= length plus length plus width plus width.

Answer:

1.728 is the perimeter. the area is 84.

Step-by-step explanation:

all you do multiply for perimeter and add for area.

Celeste needs to create a keyword map that branches out from an image of the solar system. Which image best
shows the keywords that build to make up the solar system?
Sun
Sun
Sun
Mercury
Venus
Moon
Stars
Neptune
es
Earth
Venus
Earth
Uranus
Constellations
The Milky
Way
Mars
Saturn
Mars
Jupiter

Answers

Answer:

The Correct Answer Is C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Alina has been collecting video games for a year. The table below shows how many games she has received over
the year.
Amount of video games
4
Birthday
Holidays
School trades
8
6
At the end of the year, she went to a store and sold half of her video games.
Which numerical expression shows the amount of video games Alina has left after selling half?
Choose 1 answer:
(4+8) + (6 + 2)
2 : (4 +8+6)
© (4+8+6) : 2

Answers

the answer is C. because you add all of her games together that she has, but then she wants to sell half of them.

The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Alina has been collecting video games for a year. The table below shows how many games she has received over the year.

                          Amount of video games

Birthday                             4

Holidays                            8

School trades                    6

Then the total number of the video games will be

⇒ 4 + 8 + 6

At the end of the year, she went to a store and sold half of her video games.

⇒ (4 + 8 + 6) / 2

⇒ (4 + 8 + 6) : 2

Then the expression C is correct.

More about the Algebra link is given below.

https://brainly.com/question/953809

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f(x) = 5x^2 - x + 8
g(x) = 9x - 1

Answers

Answer:

Step-by-step explanation:

But there is not a question?

The area of a wetland is 10,000 acres. A biologist predicts that the area of the wetland will change according to the equation y equals 10000 left-parenthesis 0.65 right-parenthesis Superscript x Baseline, where y is the area of the wetland after x years. Based on the biologist's prediction, what will the area of the wetland be in 2 years?

Answers

Answer:

4,225 acres

Step-by-step explanation:

If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;

y is the area of the wetland after x years

In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;

[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]

The area of the wetland in 2 years based on the biologist prediction will be 4225 acres

Answer:

4225

Step-by-step explanation:

Find the 40th term of this arithmetic sequence 4,9,14,19

Answers

Answer:

199

Step-by-step explanation:

I believe it's 199. The interval is just 5.

Answer:

the answer is going to be more than 11111111111119 (this is the 26th term)

Step-by-step explanation:

Percentages equal to 100% and how?

Answers

Answer:

2 or more percents add up to 100% or one percent is 100%

Step-by-step explanation:

Will give brainliest, What types of solutions will a quadratic equation have when the discriminant b^2−4ac in the quadratic formula is zero?
Two non real solutions
One real solution
Two real solutions
No solutions

Answers

Answer:

B

Step-by-step explanation:

When a discriminant is zero, the quadratic equation has one solution.

2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2

Answers

B!!! Explanation: just took the test

find the missing angle in the triangle

Answers

Answer:

45

Step-by-step explanation:

Because this is an isosceles triangle, two of the angles must be equal. Since the third angle is 90 degrees, the other two must be 90/2=45 degrees. Hope this helps!

the answer is 45°

90/2=45

please answer this i’ll give you 15 points

Answers

Answer:

B

Step-by-step explanation:

you round 33 to 30 and 87 to 90

Answer:

Well I think it's B.. Sorry for the late answer.

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!

Answers

a is the right answer.

The expression on the left side of an equation is shown below.

3(x+1)+9=0

If the equation has no solution, which expression can be written in the box on the other side of the equation?

3[x+4)

2[x+8)+x

4(x-3) -

03(x+1)+9x

Answers

Answer:

A. 3(x + 4)

Step-by-step explanation:

All we have to do to get the expression on the other side is to expand the bracket on the left and factorise the expression.

The equation given is:

3(x + 1) + 9 = 0

Expanding the left hand side and factorising:

3x + 3 + 9

=> 3x + 12

=> 3(x + 4)

Therefore, the expression that can be written on the other side is 3(x + 4)

Answer:

C

Step-by-step explanation:

just finished it on edge and got a 100 :)

What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?

$15,760


$13,760


$13,370


$11,760

Answers

Answer:

15,760

Step-by-step explanation:

I just added all of them...

The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

To find the sticker price we just need to add all the extras to the suggested retail price:

suggested retail price       $13,760

air conditioner                    $800

cruise control                     $235

custom sound system       $490

destination charge            $475

total sticker price = 13,760 + 800 + 235 + 490 + 475

                              = 15,760

The total sticker price would be $15,760.

The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.

Learn more about addition;

https://brainly.com/question/14092461

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Julie earns $1800 each month and pays $450 a month for rent. What percent of her income goes toward her rent?

Answers

Answer: 25%

Step-by-step explanation:

450/1800

Answer:

25 percent is what percent of her income that goes towards her rent

Chang purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Chang pald.

Answers

Answer:

C=5n

Step-by-step explanation:

A linear function

Directly proportional

what are two methods you can use to find the area of a square. I WILL GIVE BRAINLIEST I NEED HELP QUICKKKKK

Answers

Answer:

To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

Step-by-step explanation:

Answer:

For a rectangle, you get the length and width and multiply them

For a Square, you have to find one side length and mulitply it by itself

or you can split the square with a diagonal into 2 triangles, get the area of each and add them up

or split the square in half and find the area of both rectangles and then add them together

Step-by-step explanation:

For example, if the measure of one side of a square is 5, because all the other lengths are the same, you do 5 times 5 which equals 25 or 5^2 which is 25

please answer this and please provide explanation since I need to explain in homework thank you I really appreciate it

Answers

Answer:

27648inches÷64inches=432 tiles

Step-by-step explanation:tiles cost 3456

Is this SAS or Not SAS

Answers

Answer:

yes it is sas

Step-by-step explanation:

because one side is shared, they both have right angles and the other side is a given.

Answer:

SAS

Step-by-step explanation:

The sides are all equivalent so it is indeed a SAS triangle.

To convert degrees Fahrenheit (F) into degrees Celsius (C) use the formula C=5/9(F-32) convert 50 degrees Celsius to Fahrenheit

Answers

Answer:

Step-by-step explanation:

C=5/9(F-32)

Or F-32=9/5C

Put  C=50

F-32=9/5 ×50

F-32=90

F=90+32=122°F

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