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

19 lbs of apples cost $114 . how many lbs of apples can you get with $270?

19 lbs : $114
? lbs : $270

Answers

ehhh





Explanation: Idk man im sorry

Answer: 45

Step-by-step explanation:

114/19=6

6$/lb

270/6= 45

which statement best describes the possible value of the median time of students riding the bus to school?

Answers

Answer:

Step-by-step explanation:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Answer:

its a on edge 2021

Step-by-step explanation:

please help me!!!!!!!!!!​

Answers

Answer:

(1,4)

(2,6)

(3,8)

(4,10)

(5,12)

Step-by-step explanation:

How would you factor 6a - 15​

Answers

3(2a-5). To factor something out it mean to put it in a form that you can get the lowest numbers out. So what number goes in to both numbers 3. So there you go.

Are the graphs of the lines in the pair parallel? Explain,

y = 3x - 17
4x - 6y = -6

A.)Yes, since the slopes are the same and the y-intercepts are the same.
B.)No, since the y-intercepts are different.
C.)No, since the slopes are different.
D.)Yes, since the slopes are the same and the y-intercepts are different.

Answers

Option A is the correct answer

Answer:

C

0 No, since the slopes are different.

Step-by-step explanation:

First, solve the second equation.

-6y=-16-4x

6y=16+4x

y=16/6+4/6x

y=2/3x+8/3

Next, look at the equation of a line's format.

y=mx+b

This means y=(m=slope)*x+b[when x=0, y=b]

In the first equation, y=3x-17, we can see that m=3, and b=-17

In the second equation, y=2/3x+8/3, m=2/3, and b=8/3

We know that m is the slope, and 3 does not equal 2/3.

Lines are only parallel when their slopes are the same

Therefore, the two lines are not parallel since the slopes are different.

Which type of sampling method is being employed in the following example: "In order to test out a new dessert available at Chili's restaurants in the metro-Atlanta, everyone at 6 selected Chili's locations are offered to try the new dessert for free on one weekend."

Simple Random Sampling

Sampling of Convenience

Stratified Sampling

Systematic Sampling

Cluster Sampling

Answers

Answer:

Cluster sampling

Step-by-step explanation:

What is the quotient

Answers

The second one: 4 times 10 to the power of 12

The second one 4 times 10 the power is 12

Voltage 220 v current 4 amps resistance?

Answers

Step-by-step explanation:

R = V / i = 220/4 = 55 ohm

....

Which polynomials are in standard form?

Answers

Answer:

Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.

Step-by-step explanation:

What is the volume of this rectangular prism?
14 ft
3 ft
67 ft
87 ft
NI
131ft
2524

Answers

The answer would be 56

2. Find the value of x.
BI
3(x + 2)
24
Ox=6
Ox=10
3(x+2
Ox= 24
3x + 6
Ox=8
3x +

Answers

Answer:

x = 6

Step-by-step explanation:

3(x + 2) =24

Divide each side by 3

3/3(x+2) = 24/3

x+2 = 8

Subtract 2 from each side

x+2-2 = 8-2

x = 6

x=6

hope this helps :)

what is the area of the parallelogram

A. 11in2

B. 22in2

C. 45in2

D. 60in2

Answers

Answer:

Step-by-step explanation:

Area of a parallelogram is base times height. So 15x4

It’s 60in^2

So D

Answer:

D. 60 inches^2

Step-by-step explanation:

The area of a parallelogram can be found using:

a=bh

We know that the height is 4 inches, and the base is 15 inches. Therefore, we can substitute 4 in for h and 15 in for b.

a=4*15

Multiply 4 and 15

a=60

Area is always units^2. We know the units are inches, therefore the area is:

60 inches^2, or choice D

After analyzing this number line, which set of numbers would all round to 0 when rounding to the nearest hundred? A) 15, 35, 44 B) 35, 44, 50 C) 44, 50, 55 D) 55, 63, 69

Answers

Answer:

all the numbers in set a would all round to 0

The lifespans of tigers in a particular zoo are normally distributed. The average tiger lives 22.4 years; the standard deviation is 2.7 years. Use the empirical rule (68-95-99.7%) to estimate the probability of a tiger living less than 14.31 years.

Answers

Answer:

ok

Step-by-step explanation:

P(27.8 < C < 30.5) = P(X>27.8) - P(X> 30.5) =0.025 - 0.0015 = 0.0235 hope this helps:)

Which of the following is an example of inertia?
O A. Adding mass to a moving car makes it
harder to stop.
0 0 0
OB. A balanced force is applied to a bicycle.
C. Increasing the velocity of a train makes it
harder to stop.
OD. A moving car changes direction.

Answers

Answer:

B

Step-by-step explanation:

inertia is the tendency to do nothing or remain unchanged

Which line has a slope of -2 and goes through the point (-2, 3) ?

y=−2x−1

y=−1/2x+3

y=1/2x−5

y=2x+1

Answers

Answer:

y=-2x-1

Step-by-step explanation:

Since the m term in this equation (the number that comes right before the x) is -2, that means that the slope of this line is -2.

Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons.
After 8 weeks of voice lessons, how many pieces will Jodi be able to sing in total?
Assume the relationship is directly proportional.

A: 16 pieces
B: 20 pieces
C: 15 pieces
D: 12 pieces

Answers

Answer:

A. 16 pieces

Step-by-step explanation:

If Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons, after 8 weeks of voice lessons, Jodi be able to sing 16 pieces.

2 x 2 =4

8 x 2= 16

Therefore the answer is 16.

Hope this helps and I explained it well enough !

Have a nice day.

On a coordinate plane, triangle A B C has points (negative 3, negative 1), (negative 2, negative 3), (1, negative 1) and is reflected across y = 1. Reflect the figure over the line y = 1. Which is point A’ after the reflection? A’(–3, 1) A’(–3, 3) A’(–3, 2) A’(1, 1)

Answers

Answer:

A' = (-3, 3)

Step-by-step explanation:

If the points are as follows:

A = (-3, -1)

B = (-2, -3)

C = (1, -1)

When reflecting across a y axis the x values remain the same.

When reflecting across y = 1 the y values will remain equal distant from y = 1.

A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3

B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5

C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3

Answer:

A' = (-3, 3)

Step-by-step explanation:

Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5
please help rn

Answers

Answer:

18

Step-by-step explanation:

3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.

3*3 + (5+2*8) - 12

9 + (5 + 16) - 12

9 + 21 - 12

30 - 10 - 2

20 - 2

18

Answer:

18

Step-by-step explanation:

First what you would do is plug in the numbers.

3x3+(5+2x8)-12

Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.

3x3+(21)-12

Then you add 3 times 3 and get 9.

9+21-12

Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.

Which of the following statements NOT true?

Answers

There is no statements

math question down below

Answers

Answer:

A.

C.

E.

Step-by-step explanation:

Answer:

a,c,e

Step-by-step explanation: because they all ad up to 24

Write the equation of the quadratic function in standard form represented by the graph.

Answers

Answer:

y = x^2 +6x+8

Step-by-step explanation:

First find the zeros, -4 ,-2

y =a (x - -4) (x - -2)

y = a(x+4)(x+2)

Then it is multiplied by a constant so pick a point on the curve and solve for the constant

We will use (0,8)

8 = a(0+4)(0+2)

8 = a(8)

a =1

y = (x+4)(x+2)

Writing in standard form

FOIL

y = x^2 +2x+4x+8

y = x^2 +6x+8

Solve for k. Describe the steps taken to find the solution.
8 + 10 - 6k = 6(4 - k)

Answers

Answer:

No real solution

Step-by-step explanation:

18-6k=24-6k

18=24

No Real Solution

PLZ HELP IM TIMED!!!
Which fraction is equivalent to -(7/8)?
A. -7/8
B.-(-7/8)
C.-(7/-8)
D.-7/-8

Answers

Answer:

It should be A

Step-by-step explanation:

multiply the - by 7/8 to get -7/8

Answer:A

Step-by-step explanation:

(-15)+(-45)/-5 .........please help

Answers

Answer:

60

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I added (-15) + (-45) and got -60.

And i divided it by -5 and got 12.

Please send help I really need your help

Answers

Answer:

#4: 4 hits

Step-by-step explanation:

At first, you are given the ratio 1/37 which you can scale to 148 by dividing and multiplying both by. So you divide 148/37 to reach 4 and then multiply 4 by 1 to find out that about four hits will prbably be made.

Answer:

the answer for number four is four and number five is 39

I am not sure about number 5 plz check                                                             somebody.

Step-by-step explanation:

I need the answer please help me

Answers

Answer:

opposite angles have the same number of degrees. so answer is 63 degrees.

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠NMR = 63°

Vertically opposite angles are equal.

Select the equivalent expression.
(2^-4 x z^-3)^5 =
Choose 1 answer:

Answers

Answer:

A

Step-by-step explanation:

[tex](2^{-4}z^{-3})^{5}[/tex]

several ways to approach this.

use power rule.  [tex](a^{m} )^{n} = a^{mn}[/tex]

[tex](2^{(-4*5)}z^{(-3*5)} )[/tex]

[tex](2^{-20} z^{-15} )[/tex]

RULE:  [tex]x^{-1} = \frac{1}{x}[/tex]

[tex]\frac{1}{(2^{20}z^{15}) }[/tex]

Which equation is graphed along with the parent
function?

g(x)= ^3 √x+3 +4
g(x)= ^3 √x-3 +4
g(x)= ^3 √x-4 +3
g(x)= ^3 √x+4 +3

Answers

Answer:

B.g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4

Step-by-step explanation:

Equation, graphed along with the parent function is g(x) = ∛(x-3) + 4

The correct option is B.

What is graph of a function?

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x).

Given,

Graph of a parent function

and equation is graphed along with the parent function

Parent function

f(x) = ∛x

By the graph,

There is 3 unit horizontal shift to positive side, and 4 unit vertical shift to upwards in parent function

Thus, function drawn along with it is

g(x) = ∛(x-3) + 4

Hence, g(x) = ∛(x-3) + 4 is the equation, graphed along with the parent

function.

Learn more about graph of function here:

https://brainly.com/question/9834848

#SPJ2

Which is an equation for the parabola that has a vertex (6,-3) and passes through the point (2,-2)

Answers

Answer:

c

Step-by-step explanation:

Answer:

The Correct Answer is in fact C : x= -4y^2 -24y -30

Step-by-step explanation:

If you look at the image I attached you can see that C is the only one touching those point

Don't forget to like :)

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