6. What is the vertex of the graph of y = x2 – 8x + 6
(Hint: use x = - to find the AOS)
b
2a
Show work

Answers

Answer 1

Answer:

[tex] \boxed {( 4, - 10)}[/tex]

Step-by-step explanation:

[tex]y = {x}^{2} - 8x + 6[/tex]

Here are some formulas that you might need.

[tex]h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} [/tex]

The vertex of graph is at (h, k) from the vertex form.

[tex]x = h \\ y = k[/tex]

Substitute in the formula.

[tex]h = - \frac{( - 8)}{2(1)} \\ h = \frac{8}{2} \\ h = 4[/tex]

Next we find the value of k.

[tex]k = \frac{4(1)(6) - {( - 8)}^{2} }{4(1)} \\ k = \frac{24 - 64}{4} \\ k = \frac{ - 40}{4} \\ k = - 10[/tex]

Therefore the vertex is (4,-10).


Related Questions

please help! making brainliest if correct

Answers

Answer

SAS because its a side, angle then side

3(p+5)-3(p+2) expand and simplify

Answers

Answer:

its 9

Step-by-step explanation:

Answer:

The answer should be 9.

Step-by-step explanation:

You need to distribute, subtract the numbers and combine like terms.

19-23 and 26-29 please help
(Image attached)

Answers

Answer:

26.B

27.J

28.B

29. x=40, y=32

Step-by-step explanation:

Answer:

I think its

Step-by-step explanation:

b is 26 sos others dont know

Simplify. rewrite the expression in the form 8n. (8^-8(8^3)

Answers





I’m not sure but I got 8 ^-5

Hello can someone PLEASE PLEASE help me with this question!!!

Answers

Answer:

(465-249) / 9 = Square Feet

Step-by-step explanation:

You do whatever is in the parenthases 1st

The quotient of two algebraic expressions is a fractional expression, and the quotient of two polynomials is

Answers

Answer:

rational expression

Step-by-step explanation:

From the given information:

Since the quotient of two algebraic expressions seems to be a fractional expression,

Then the quotient of two polynomials;

For example:

[tex]\dfrac{1}{w}, \dfrac{2w-1}{w+1} \ or \ \dfrac{w^2-1}{w^2+1}[/tex]  is a rational expression.

Quadrilateral ABCD is a parallelogram. Determine the measure of _A.
OA) 96°
B) 78°
C) 52°
OD) 39°

Answers

Answer:

The measure of angle A is: m∠A = 96

Therefore, option A is true.

Step-by-step explanation:

Given

m∠C = 3x

m∠D = x+52

We know that the opposite angles of a parallelogram are also equal.

Determining m∠A

It is clear that A is the opposite angle of C.

i.e.

m∠A = m∠C

as m∠C = 3x

so m∠A = 3x

Determining  m∠B

It is also clear that B is the opposite angle of D.

i.e.

m∠B = m∠D

as m∠D = x+52

so m∠B = x+52

We know that the sum of the angles of a parallelogram is 360°.

so

m∠A + m∠B + m∠C + m∠D = 360°

3x + (x+52) + 3x + (x+52) = 360°

Group like terms

[tex]3x+x+3x+x+52+52=360^{\circ \:}[/tex]

[tex]8x+104=360^{\circ \:}[/tex]

Subtract 104 on both sides

[tex]8x+104-104=360^{\circ \:}-104[/tex]

Simplify

[tex]8x=360^{\circ \:}-104[/tex]

[tex]8x=256[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{256}{8}[/tex]

Simplify

[tex]x=32[/tex]

Thus,

The measure of the angle A is:

m∠A = 3x

substitute x = 32

m∠A = 3(32)

m∠A = 96

Hence, the measure of angle A is: m∠A = 96

Therefore, option A is true.

The doctor recommended that Matt decrease the number of calories he consumed from 3,000 to 2,400. By what percent did the number of calories decrease?

thanks.

Answers

Answer:

28%

Step-by-step explanation:

Answer: 28%

Step-by-step explanation:

1800/2500 = 0.72

0.72 = 72%

100% - 72% =  28%

a) x and y are two numbers taken from the list below.
5
6
7
8
9
10

(i) What values of x and y will make 3x - 2y equal zero?

(ii) Work out the greatest possible value of 3x - 2y.

(iii) Work out the least possible value of 3x – 2y.

b) Find the value of 5(a – 4b) when a = -7 and b = 1​

Answers

Answer:

a) i) The equation is satisfies of the values x = 6 and y=9

ii) The greatest possible value of 3x-2y is  20

iii) The least possible value of 3x – 2y is 2 and '0'

b)

The value of 5(a – 4b)  =  -55

Step-by-step explanation:

Given x and y are two numbers taken from the list below

5  6   7   8   9  10

i)

I will choose  x = 6 and y = 9

3x - 2y = 3 (6) - 2(9) = 18 - 18 = 0

The equation is satisfies of the values x = 6 and y=9

ii)  

we will choose x =10 and y = 5

3x - 2y = 3(10) - 2(5) = 30 -10 =20

The greatest possible value = 20

iii)

we will choose x =6 and y =8

3x - 2y = 3(6) -2(8) = 18-16 =2

we will choose x =6 and y =9

3x - 2y = 3 (6) - 2(9) = 18 - 18 = 0

b)

Given value of 5(a – 4b)

substitute  a = -7 and b = 1​

5(a – 4b) = 5(-7-4(1)) = 5 (-11) = -55

123456-654321=
eeeeee

Answers

Answer:

−530865

Step-by-step explanation:

hoped I helped:)

a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving how mant servings can be made using one gallon.

Answers

Answer:

I believe its 36

Step-by-step explanation:

so what i id is a took apart the answer, if 1 1/4 if 10 cups the 1/4 1/4 1/4 1/4 1/4 would also be 10 cups, so now i know that 1/4 = 2 servings

eso i took 3. 1/4 and that gave me 6 and now add the previous which is 10 so its 16 and i have   2 cups left

from here i knew 1 cup and 1/4 is 10 so subtract 1/4 which is -2 servings and you have 8 and 8+8 is 16 so

then i added

16+16= 36

which leads to my final answer of 36

Im so sorry if im wronge but if its right please give brainlest

What is the equation of the line shown in the graph?

Answers

Answer:

y=4/1x+-3

Step-by-step explanation:

I hope this helps...

What's 10 percent off of 10.35

Answers

Answer:

the answer is 9.315

A photo with a perimeter of P units is dilated by a scale factor of two. What is the perimeter in units of the dilated photo

Answers

Answer:

c

Step-by-step explanation:

hey i am tyler

Brainilest to who answers first

Write an
exponential function in the form y
and (2,300).
ab that goes through points (0,12)

Answers

Answer: The exponential function would be

Step-by-step explanation:

Since we have given that

We have points (0,15) and (2,24)

First we take when x= 0, y = 15.

So, our equation becomes,

and we take when x = 2 and y = 240

So, the exponential function would be

Jen treated herself to some new clothes, She spent a total of $244. If she paid sales
tax of 6%, how much did she spend altogether?

Answers

Answer: 258.64

Step-by-step explanation:

Suppose on an Icelandic sheep farm, there was a sheep pen next to a barn. If the length of the pen is 16 meters and the width is 9 meters, what is the area of the sheep pen?

Answers

Answer:

A = 144 m²

Step-by-step explanation:

Given that,

The length of the pen, l = 16 m

The breadth of the pen, b = 9 m

We need to find the area of the sheep pan. We know that the area of the rectangular shape is given by :

A = lb

Substituting all the values,

A = 16 m × 9 m

= 144 m²

So, the area of the sheep pen is 144 m².

Of 3,400 babies in a hospital, 1244 are boys and the rest are girls. What
percentage are girls?

Answers

9514 1404 393

Answer:

  63.4% are girls

Step-by-step explanation:

The percentage that is boys is ...

  1244/3400 × 100% = 36.6%

The remaining fraction is girls:

  100% -36.6% = 63.4% . . . girls

Find the third side in simplest radical form

Answers

Answer:

30

Step-by-step explanation:

Find the surface area of the prism.



The surface area is square feet.​

Answers

Answer:

10 X 5 = 50, 50 X 2 = 100

10 X 1 = 10 , 10 X 2 = 20

5 X 1 = 5 , 5 X 2 = 10

100 + 20 + 10 = 130 ft squared

What is 9m^2 -1 in factored form ?

Answers

( 3 m ) 2 − 1 2 i need to make this 20 characters

1 + 1 = 1

if you have 1 piece of bread in one hand and 1 piece of bread in the other hand you smack them together you have 1 BIG bread

Answers

indeed 1+1= +1 very much makes sense but at the same time I’m questioning my life
NUCEWWEWWWWEEEEEEEEEE

What is the solution to the system of equations below?

2x+3y=17

3x+6y=30

Answers

Answer:

Step-by-step explanation:

Multiply first equation by 2.

4x+6y=34

3x+6y = 30

Subtract the equations we get,

x = 4

SUBSTITUTE x in given 1st equation.

2(4)+3y =17

3y=17-8=9

y=3

Describe the solutions of each inequality in words:

2m ≥ 6

Answers

Answer:

Step-by-step explanation:

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Muévete para aquí, muévete para allá

Dame tu cosita (ay toma, cosita, cosita, cosita)

Dame tu cosita (ay toma, cosita, pure energy)

Dame tu cosita (ay toma, cosita, cosita, cosita)

Dame tu cosita (ay toma, cosita, cosita, cosita)

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Dame tu cosita ah, ay

Dame tu cosita ah ah

Muévete para aquí, muévete para allá

Dame tu cosita (ay toma, cosita, cosita, cosita)

Dame tu cosita (ay toma, cosita, pure energy)

Dame tu cosita (ay toma, cosita, cosita, cosita)

Dame tu cosita (ay toma, cosita, cosita, cosita)

the area of an isosceles triangle is 60 CM square and its base is 10 cm find the length of the equal sides​

Answers

Step-by-step explanation:

Area = (1/2) *b*h

60 =(1/2)*10h

120 =10h

h=120/10

h= 12 cm

From the figure,

AB=BC(since the given triangle isosceles).

AE is perpendicular to BC.

BE =EC = 5cm ( since is AE bisects BC)

AB= h=12cm (height of the isosceles triangle)

Applying Pythagoras theorem in triangle ABE,

AB² = BE²+ AE²

AB² = 5²+12²

AB² = 169

AB =√169

AB= 13 cm

Hence AB=BC =13cm

Length of equal sides =13cm

Visit this online dictionary and search for the definition of justice. Which part of speech is the word justice? Which definition best matches the definition given by the online dictionary?

Answers

Answer:

noun and fairness

Step-by-step explanation:

Giving each person what they deserve, or, in more formal terms, their due, is what is meant by justice. Today, the terms justice and fairness are frequently used interchangeably because of their close relationship. However, there have also been more definite interpretations of the two names.

Justice is noun part of speech.

What do you mean by Speech?

Speech is the ability to articulately express ideas and thoughts through vocal sounds. It is also the act of doing so.

Justice, in its broadest sense, is the idea that people should get what they deserve. However, there are many different fields and viewpoints that have an impact on what is considered to be "deserving," including those that focus on morality as it relates to ethics, reason, law, religion, equity, and fairness. The state will occasionally make an effort to improve justice by running courts and upholding their decisions.

Therefore, Justice means fair treatment and it is noun part of speech.

Learn more about Speech, here;

https://brainly.com/question/29586134

#SPJ2

Rita is saving money to buy a game. So far she has saved ,30$ which is three-fifths of the total cost of the game. How much does the game cost?

Answers

Answer:

The total cost of the game is $50

Step-by-step explanation:

I'm so sorry, for some reason I can't figure out how to explain this. This is my best attempt (again sorry)

1/5th = $10

2/5th = $20

3/5th = $30

4/5th = $40

5/5th = $50

What is the value of x? Enter your answer in the box

Answers

Answer:

x = 7

Step-by-step explanation:

The 2 triangles are similar ( AA postulate ), then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{42}[/tex] = [tex]\frac{6}{36}[/tex] ( cross- multiply )

36x = 252 ( divide both sides by 36 )

x = 7

how many solutions does this have? x+2y=3 x-y=6

Answers

Answer:

x = 5 , y = -1

Step-by-step explanation:

x + 2y = 3........(equation 1)

x - y = 6..........(equation 2)

make x the subject of the formula in (equation 1)

x = 3 - 2y

substitute for x in (equation 2)

3x - y = 6

(3- 2y) - y = 6

3 - 2y - y = 6

3 - 3y = 6

-3y = 6 - 3

[tex] \frac{ - 3y}{ - 3} = \frac{3}{ - 3} [/tex]

[tex]y = - 1[/tex]

substitute for y in (equation 1)

x = 3 - 2y

[tex] \times = 3 - 2( - 1)[/tex]

x = 5

Answer:

Uhhh I'll try my best.

The answer to your question is

I’ll do x.

x+2y-2y = 3-2y

(Simplify) x = 3-2y

x-y+y = 6+y

(Simplify) x = 6+y

(Set them equal to each other)

3-2y = 6+y

3-2y-6 = 6+y+2y

-3 = 3y

y = -1

x =

Step-by-step explanation: Hope this helps.

Write the equation of the line that passes through the points (-8,3) and (3,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

(-8,3)-(3,-)6 is que 16%. YES
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