complete the square to rewrite y=x^2-6x+2 in vertex form then state whether the vertex is a maximum or a minimum and give its ordinates

Answers

Answer 1

Answer:

[tex]y=(x-3)^2-7[/tex]

Minimum

(-3,-7)

Step-by-step explanation:

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

[tex]b=-6[/tex]

[tex]\frac{b}{2} =(-3)^2=9[/tex]

[tex]y+7=x^2-6x+9[/tex]

[tex]y=(x-3)^2-7[/tex]

-7 is a minimum.


Related Questions

I will give you BRAINLIEST AND 1 MILLION DOLLARS IS YOU ANSWER THIS

Part A: Factor 3x2a2 − 5xa2 − 2a2. Show your work. (4 points)

Part B: Factor x2 − 10x + 25. Show your work. (3 points)

Part C: Factor x2 − 81. Show your work. (3 points)

Answers

Answer:

Answer is in bold.

Step-by-step explanation:

Factor 3x2a2 − 5xa2 − 2a2.

3x2a2 − 5xa2 − 2a2=  

a2(3x2 − 5x − 2)=

a2((x-2)*(x+(1/3)))

Part B: Factor x2 − 10x + 25.

x2 − 10x + 25.= (x-5)*(x-5)

Part C: Factor x2 − 81.

x2 − 81=(x-9)*(x+9)

[tex]x^{2}[/tex]-81

[tex]x^{2}[/tex]+9x-9x

Find the value of x for the given triangle.
12
19°
Х

Answers

Answer:

180

Step-by-step explanation:

It is one. A strait line so it is 180

What is the equation of the line that passes through (5,-2) and (-3,4)

Answers

Answer:

y = -3/4x + 7/4

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - (-2) / -3 - 5

6 / -8

= -3/4

y = -3/4x + b

4 = -3/4(-3) + b

4 = 9/4 + b

7/4

The function f(x) is graphed below. what is f(2)-f(-1)?

Answers

photmath,  alcaicion par aresolvr perbolmeas mtemataicso ,ect a

Help fast, thanks. Will mark brainliest. No links!!
Write the quadratic equation in standard form:
2x^2 - x - 17 = -5​

Answers

Answer:

In Standard form...

2x² - x -17 +5 = 0

2x² - x - 12 = 0.

Have a great day bro!

please give me answer please ​

Answers

Answer:

336

Step-by-step explanation:

Which values are equivalent to the fraction below? Check all that apply

4 5/4 7

Answers

Answer:

the answer is the 4/-2

Step-by-step explanation:

you can understand from the answer

what is the value of x in the equation 5x-7=28

Answers

5x -7 = 28

Add 7 to both sides:

5x = 35

Divide both sides by 5:

X = 7

The answer is x = 7

Add 4.25 and 12.835 explain how u got it answer​

Answers

Answer:

17.085

Step-by-step explanation:

  +1

12.835

+  4.25

  17.085

Answer:

Refer to the attachment given for explanation.

The answer will be 17.085.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

the area of hanks farm is n acres. the area of hank's farm is 8 times as large as the area of stans farm
a. if s represents the area of Stan's farm express s in terms of n
b. state the independent and dependent variables in the equation

+ 50 points and brainlist

Answers

Step-by-step explanation:

a. s = n/8

b. the independent variable is s

the dependent variable is n

please help with this question or I might fail.

Answers

3 days a week or Monday Tuesday Wednesday Thursday Friday

What is the simplest form of b/bc ??

Answers

b/bc =b/b =0 left c
Ans c

There are 2.54 Centimeters in 1 inch . THere are 100 Centimeters in 1 meter

To the nearest Meter, how many meters are in 360 inches

Answers

Answer:

9.144meters

Step-by-step explanation:

Given data

We are expected to perform unit conversion in this problem

2.54cm is equivalent to 1 inch

100cm equal to 1 meters

360 inches to cm  will be

=360*2.54

= 914.4cm

914.4cm to meters will be

=914.4/100

=9.144meters

Which equation represents the line that passes through the points (-1, 3) and (4, -2) ?

Answers

Answer:

y=-1/3x+3/8

Step-by-step explanation:

PLEASE HELP ME !ASAP!!
Q1)What is the sum of the finite arithmetic series −10, −8, −6, −4, ...24?
show work !!
Q2)You are trying to save $1500. You begin with $5 and save $3 more than the previous amount each week for 30 weeks. Will you meet your goal? Explain. Show work

Answers

Solution :

First term, a₀ = -10 .

Common difference of A.P. , d = -8 - (-10) = 2 .

Last term, aₙ = 24 .

We know, last term is given by :

aₙ = a₀ + (n-1)d

24 = -10 + (n-1)×2

2n - 2 = 34

n = 18

Now, sum of series is given by :

[tex]S_n = \dfrac{n}{2} \times ( 2a+(n-1)d)\\\\S_n = \dfrac{18}{2} \times ( 2\times -10 + ( 18 -1) \times 2)\\\\S_n = 126[/tex]

Hence, this is the required solution.

Allison had 18 postage stamps she gave 2/9 of the stamps to her mother and used 1/2 of the remaining stamps to send letters to her friends in Canada how many stamps are left

Answers

Answer is 7

step-by-step explanation:

you would do 2/9 times 18 which is 4 you would subtract 18 - 4 which is 14 then you would do 14 / 2 and your answer will be seven

what is 60 written as a product of a factor greater than 1?

Answers

Answer:

I think the answer to your question is 12?

Step-by-step explanation:

I hope this helps, have a nice day

I need help like big time! PLEASE I NEED THIS ANSWERED!!

Answers

Answer:

x = 94

Step-by-step explanation:

[tex]x + (\frac{1}{2}x + 39) = 180[/tex]

1.5x + 39 = 180

Subtract 39 from each side.

1.5x + 39 - 39 = 180 - 39

Simplify.

1.5x = 141

Divide each side by 1.5.

1.5x ÷ 1.5 = 141 ÷ 1.5

x = 94

On Sunday Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg of plant food on his strawberry plants and used 1/4 kg of plant food on his tomato plants.

Answers

Answer:

27/12 KG

Step-by-step explanation:

On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg on his tomato plants. How many kilograms of plant food did Sheldon have left?

41/2 - (12/3 + 1/4)

[tex]1\frac{2}{3} + \frac{1}{4}[/tex]

[tex]1\frac{8 + 3}{12}[/tex] = 1 11/12

[tex]4\frac{1}{2} - 1\frac{11}{12}[/tex]

[tex]3\frac{6-11}{12}[/tex] = 2 7/12

(b) factorise
(3m-1)(6-a)-(m+3)(6-a)​

Answers

Answer:

Step-by-step explanation:

(3m-1)(6-a)-(m+3)(6-a)

=3m(6-a)-1(6-a)-m(6-a)+3(6-a)

=18m-3ma-6+a-6m+ma+18-3a

=12m-2ma+12-2a

=2(6m-ma+6-a)

Find tanθ + sinθ for the angle below.


Answers

tan( tehta ) = 2/3

Sin( tetha ) = 2/√13

tan( tetha ) + Sin( tetha ) = 2/3 + 2/√13

= 2√13 + 6 / 3√13

Find the area of the composite figure

Answers

Answer:

the answer is 360

Step-by-step explanation:

multiply the numbers to get the answer

What is the slope of the line passing through the points
(-7, -6) and (5, -9)?
A -4
B-1/4
C 0
D undefined

Answers

I can’t answer u I need to see the graph
it’s (-1,4)
y2-y1
———
x2-x1

Can someone help me with this question ?

Answers

Tan52° = x/29

The angle of elevation is 52°, so that must be inside the tan function.

Tan is the ratio of the opposite side to the adjacent side. Jessica’s height is unknown, so we can call that x. The adjacent side of the triangle is the shadow, which is 29’m. Since tan is opposite over adjacent (remember SOH CAH TOA), the fraction must be x/29.

A stack of 500 pieces of paper is 1.875 inches tall. Compute the thickness of each piece of paper. Show your reasoning.

Answers

Answer:

0.003750 inches

If the thickness of 500 pieces is given as 1.875. the thickness of one sheet of paper can be determined by dividing the total inches by 500

Thickness of each paper = thickness of total paper / 500

1.875 / 500 = 0.003750 inches

Step-by-step explanation:

Answer:

If the thickness of 500 pieces is given as 1.875. the thickness of one sheet of paper can be determined by dividing the total inches by 500

Thickness of each paper = thickness of total paper / 500

1.875 / 500 = 0.003750 inches

Step-by-step explanation:

Can anyone please help me thank you

Answers

Answer:

[2, 4]

Step-by-step explanation:

[2, 4]

The value of which of these expressions is closest to e?

Answers

The answer is B because e is 2.17

Answer:

the answer is D

Step-by-step explanation:

Got it wrong on the A*pex test D is the correct answer

1+(1/30)30

What is the value of x?
76+71=124


Answers

Answer:

48

Step-by-step explanation:

x=48

Answer:

Step-by-step explanation:

124

this is the answer i think

Which of the graphs correctly shows the set {-7, -2, 7}?
A) A
B) B
C) C
D) D

Answers

D. Is the correct answer
D is the correct answer.

please show your work

Answers

Answer:

a) - 10

Step-by-step explanation:

The two angles are vertical angles:

Angles that have a common vertex and whose sides are formed by the same lines.

Therefore, set your formula up as following

x+5=2x-5

x + 5 - 2x = -5

-x + 5 = -5

-x = -10

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