Complete the square to rewrite y=x^2+6x+3 in vertex form. Then state whether the vertex is a maximum or a minimum and give its coordinates

Answers

Answer 1

Answer:

Step-by-step explanation:

take b, divide it by 2 and then square it

(6/2)²=9 so add then subtract 9

(x²+6x+9)+3-9

x²+6x+9=(x+3)²

3-9= -6

(x+3)²-6

The vertex is a minimum and the coordinates are (-3,-6)


Related Questions

Find the zeros of the function.

h(x) = x2 + 19x + 84

Answers

Answer:

X=7

Step-by-step explanation:

x-12)=0

x-12+12=0+12

x=12

Solve:

(x-7) = 0

x-7+7 = 0+7

x=7

what is 90 plus 60 plus 7x-12

Answers

[tex]90+60+ 7x -12 = 7x+138[/tex]

Mrs. Baynes is shopping for rulers for her classroom. She wants to spend $19.75 on rulers and they cost $0.79 each. How many rulers, (r), can she buy? NO LINK (please)

Answers

Answer:

25 rulers

Step-by-step explanation:

Divide the total money available by the cost per ruler to get the number of rulers.

[tex]19.75/0.79=25[/tex]

At a charity fund-raiser, adult tickets were sold for $7 each and children's tickets were sold for $2 each. Write an algebraic expression for the total amount of
money raised from the sale of tickets. How much money was raised if the fundraiser fsold 246 adult tickets and 380 children's tickets?
Let a = the number of adult tickets and let c = the number of child tickets. Then, an algebraic expression for the total money raised from the sale of tickets is

Answers

Answer:

x is amount of money

c + a = 646

2c + 7a = x

2(380) + 7(246) = 2486

x = $2486

2×5, plz help, need is really bad

Answers

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2×5=10

Hope this helps :)

Sam made $189 for 9 hours of work. At the same rate, how many hours would he have to work to make S147?​

Answers

Answer:  7 hours

Step-by-step explanation:

$189/9 hr = $21/hr

$21/hr(x) = $147

x = 147/21

x = 7 hours

Answer:

7 hours

Step-by-step explanation:

We know 9 hours of work paid $189

to find how much Sam makes in one hour we divide the amount made by the time it took to make it

189 / 9    = 21 dollars per hour

then we know she would like to make $147 more at a rate of $21/hr so

147 / 21   = 7 hours

Divide the complex numbers. Write the answer in the form a + bi. (30 points)

Prefer work shown as it would be super helpful, thank you.

Answers

We make use of the identity,

a² - b² = (a - b) (a + b)

with a = 5 and b = 7i. Multiply the numerator and denominator by the complex conjugate of 5 + 7i, or 5 - 7i :

(-8 + 3i)/(5 + 7i) = (-8 + 3i)/(5 + 7i) • (5 - 7i)/(5 - 7i)

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (5² - (7i)²)

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (25 - (-49))

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / 74

Expand the numerator on the right side:

(-8 + 3i)/(5 + 7i) = ((-8)•5 + 3i•5 + (-8)•(-7i) + 3i•(-7i)) / 74

(-8 + 3i)/(5 + 7i) = (-40 + 15i + 56i - 21i²) / 74

(-8 + 3i)/(5 + 7i) = (-40 + 71i - 21(-1)) / 74

(-8 + 3i)/(5 + 7i) = (-19 + 71i) / 74

Out of 1700 people 49% were females how many more males than females were at the concert?
Pls explain how

Answers

Answer: 51% were males

Which means that there were 1% more males than females = 34 more males than Females

Step-by-step explanation:

100%-49%=51%

51%-49%=1%

1700x49%=833 females

1700x51%=867 males

867 Males -833 Females = 34 more Males

A math student made the following conjecture:

When you add a multiple of 5 and a multiple of 8, the answer is a multiple of 5.

Which of the following numbers can be used as a counterexample to the conjecture?

A. 80 + 8 = 88

B. 16 + 16= 32

C. 10 + 5 = 15

D. 10 + 40 = 50

Answers

Answer:

D is the answer

Step-by-step explanation:

10 is multiple of 5 and 40 is the multiple of 8

50 is the multiple of 5

Please mark as brainliest answer

write an equation of the line slope intercept form that is parallel to Y= 1/2 X +3 and through the point (2, -1)

Answers

Answer:

y=1/2x

Step-by-step explanation:

I first did point-slope form which is

y+1=1/2(x-2)

Then, I converted it into slope-intercept form which is

y=1/2x

Using a minimum of two sentences, describe how to write the function, f(x) = (x 2)2 - 3, in standard form.

Answers

The function is a quadratic function, and the standard form of a quadratic function is ax^2 + bx + c

The standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]

The function is given as:

[tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex]

Factor out (x - 2)^2

[tex]\mathbf{f(x) = (x - 2)(x - 2) - 3}[/tex]

Expand the expression

[tex]\mathbf{f(x) = x^2 - 2x -2x + 4 - 3}[/tex]

Simplify the like terms i.e. add -2x and -2x

[tex]\mathbf{f(x) = x^2 - 4x + 4 - 3}[/tex]

Simplify the like terms i.e. add 4 and -3

[tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]

Hence, the standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]

Read more about standard form at:

https://brainly.com/question/3236330

Answer:

the one above is all right except its a positive 4x, the question was

f(x) = (x + 2)2 - 3

not

f(x) = (x - 2)2 - 3

the real answer is: f(x) = x^2+4x+1

Does anyone know which one it is??​

Answers

Answer:

Limited economic options

Step-by-step explanation:

Answer:

A i think

Step-by-step explanation:

do to the way peasants lived they did not have options most of the time

find the length of segment AB

Answers

Answer:

96

Step-by-step explanation:

Answer:

96

hope this helps you!!

I If I multiply the sum of 630 and 1453 by zero what will be my result​

Answers

Answer:

The result will be 0 (zero)

Step-by-step explanation:

The result will be zero because the product of any number and zero is always zero.

(630+1453)×0

= 2083×0

= 0

(a−2b)^3 when a=−4 and b=−1\2

Answers

Answer:

- 125

Step-by-step explanation:

Who is known as "The Father of Genetics"? and List as many facts as you can about him and his accomplishments.

Answers

Mendel know as Father of genetics

he worked on pea plant for seven years and give two laws

law of independent assortment and law of dominance

Зx — 6 = 3х – ?
-6
6
З
-3
0

Answers

Answer:

3x--666667666666666666666666666666

I got the answer but I don't know how to show my work, can ya'll tell me what I should write??

Answers

Answer:

one side is 16, the other is 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 angle triangle always give the following sides

1-[tex]\sqrt{3}[/tex]-2 , which is a-b-c

to label your triangle as such

8= a

other leg =b

hypotenuse = c

so. if a =8, then

c = 8*2 =16

b=8[tex]\sqrt{3}[/tex]

John scored 75% of the total marks How many marks did he get​

Answers

Given :-

John scored 75% of the total marks .

To Find :-

How many marks did he get .

Solution :-

Let us say that the maximum marks for the exam was x . So he got 75% of x that is ,

[tex]\longrightarrow[/tex] Marks = 75% of x

[tex]\longrightarrow[/tex] Marks = 75/100 × x

[tex]\longrightarrow[/tex] Marks = 3/4 × x

[tex]\longrightarrow[/tex] Marks = 3x/4

Hence he scored 3x/4 marks in the test.

Find an equation for this line?

Answers

Answer:

y = -20/5 or -4/1 + 20 for the equation

Help!
Algebraic Relationship
y= x/4-1

Answers

32, 7

0, - 1

20, 4

You just plug in the numbers and solve

Write three consecutive multiples of 13 in a general form.

Answers

Answer:

answer given in step by step...

Step-by-step explanation:

13x+13(x+1)+13(x+2)=312

13x+13x+13+13x+26=312

39x+39=312

39x=312-39

39x=273

x=7

first number=13x=13*7=91

second number=13(8)=104

third number=13(9)=117


HELP PLSSSSSSSSSSSS

Answers

Answer:

just open a spreadsheet and put the numbers of students in one line, and the hours worked on another, and select all and create a graph

Step-by-step explanation:

One yard of ribbon costs $0.49, and 3 yards of ribbon costs $1.49. Which is the better buy?

Answers

$0.49        ?

.........................................

Answer:

I think the better one is $1.49

Step-by-step explanation:

That's just my opinion

What is a common denominator for 2/3 and 1/2?

Answers

Answer:

6 or 7/6

Step-by-step explanation:

they are both prime so 2*3=6

4/6+3/6=7/6

Answer:

21/31/6/2/34861/27651/7266163)

4(7-8n)=-2n+8(6-5n) point slope from

Answers

Answer:

n = 2 i beleve

Step-by-step explanation:

i dont know if this is right but i did the math and im in 6th grade so im not really good with that stuff

<3 have a good day <3

a
Piper is going to use a computer at an internet cafe. The cafe charges $0.60 for every
minute using a computer on top of an initial charge of $6. Make a table of values and
then write an equation for C, in terms of t, representing the total cost of using a
computer for t minutes at the internet cafe.
Number of Minutes Total Cost to Use Computer
0
1
2
3

Answers

$6.60 because 6.00 + 0.60 = 6.60

A painter charges $15.80 per hour, plus an additional amount for the supplies. If he made $190.89 on a job where he worked 7 hours, how much did the supplies cost?
A.
$110.60
B.
$80.29
C.
$90.29
D.
$27.27

Answers

Answer:

B

Step-by-step explanation:

First find out how much he made without the supplies. To do this you would multiply $15.80 by the 7 hours he worked. This gives you 110.60. Then subtract 110.60 from the 190.89 the job cost. You would then overall get 80.29 for the supplies

Let (x) = 6x. The graph of f(x) is transformed into the graph of g(x) by a verticle compression of 1/3 and a translation of 2 units up. What is the equation for g (x)?

Answers

Answer:

g(x) = 2x + 2

Step-by-step explanation:

f(x) = 6x

g(x)= 1/3*f(x) + 2

g(x) = 2x + 2

When 3(2x + 9) = 4x - 7 is solved for X, the solution is
1
3.
is 17
4
xs-17

Answers

[tex]\\ \sf\longmapsto 3(2x+9)=4x-7[/tex]

[tex]\\ \sf\longmapsto 6x+27=4x-7[/tex]

[tex]\\ \sf\longmapsto 6x-4x=-7-27[/tex]

[tex]\\ \sf\longmapsto 2x=-34[/tex]

[tex]\\ \sf\longmapsto x=17[/tex]

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