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

The difference between two integers is 6. The sum of their sqaures is a minimum. Find the 2 integers.
Answer with explanation gets brainliest.​

Answers

Answer:

3 and - 3

Step-by-step explanation:

Let the numbers are x and y.

Their difference is:

x - y = 6

Sum of their squares:

S = x² + y²

Substitute y = x - 6 into sum equation:

S = x² + (x - 6)² =      x² + x² - 12x + 36 =      2x² - 12x + 36

We observe this is a quadratic expression. It has minimum value at vertex, which is when x = -b/2a or:

x = - (-12/2*2) = 3

Then the value of y is:

y = x - 6 = 3 - 6 = - 3

Dan invested $500 in a savings account that earned 5% interest compounded quarterly. How much is in his account after 5 years?

Answers

Answer:

125

Step-by-step explanation:

Multiply 500x0.05x5

(make sure you change the percentage to a decimal do you will get a wrong answer)

I’m so sorry if my answer is wrong

PLEASEEE HELPPP ASAPP!!!!

Answers

Answer:

i gauth math NYU po meron yan

Round to the Nearest hundred

The equation of the line of best fit of the data is y = ________

The correlation coefficient is r = ______​

Answers

Answer:

54353456452

Step-by-step explanation:

364564

xxdrddddfffffdxfddsdddqqwedaqwwssde

Answers

Answer:

B

Step-by-step explanation:

(5x - 2)² + 35x - 14 = - 12 ( factor out 7 from each term in 35x - 14 )

(5x - 2)² + 7(5x - 2) = - 12 ( add 12 to both sides )

(5x - 2)² + 7(5x - 2) + 12 = 0

Substitute m = 5x - 2 into the equation then in terms of m, the equation is

m² + 7m + 12 = 0 → B

xin hãy giúp ekmmm plllllllllllllllllllllllllllllllllllllll!

Answers

57485743i753i457394574930

Divide using the division algorithm 392,196 divided by 87

(No long division)

Answers

The answer to this question 4928

-3=2/3(2) what is the answer

Answers

When adding, you only add the numerators. The denominator stays the same (Assuming the denominators are the same number). If not, then you will have to find a common denominator first. IN this case, the denominator is already the same. Add the numerator

2/3 + 2/3 = 4/3

Note that the answer gotten is an “improper fraction”, because the numerator is greater than the denominator. Simplify.

4/3 = 3/3 + 1/3

Divide: 3/3 = 1

1 + 1/3 = 1 1/3

1 1/3 is your mixed fraction answer (4/3 for improper fraction answer)

Please help me with this homework homework

Answers

Answer:

Its A=2.38

Step-by-step explanation:

6cup=558 gram

1cup=558/6

1cup=93 gram

13gram*17kg=221gram

221/93=2.38

I think the answer is A.

Given trapezoid​ WXYZ, what is​ XY?

Answers

Step-by-step explanation:

X is the mulplied

Y is the pronouns

On a map, 2 inches represents 60 miles. If a line between two cities measures 9 inches, how many miles apart are they?

Answers

2 inches = 60 miles:

60 miles/ 2 inches = 30 miles per inch.

30 miles per inch x 9 inches = 270 total miles.

Answer: 270 miles

what is the discriminant of f(x)=2x^2+8x+16
and the number and type of roots​

Answers

Answer:

2 imaginary roots

Step-by-step explanation:

The discriminate is the portion of the quadratic equation under the square root

D = b^2 - 4ac

D = 8^2 - 4(2)(16)

D = 64 - 128

D = -64

Since the discriminate is negative the square root will be imaginary

and there will be 2 of them

2 imaginary roots

9514 1404 393

Answer:

discriminant: -64two complex roots

Step-by-step explanation:

The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...

  a=2, b=8, c=16

so, the discriminant is 8² -4(2)(16) = 64 -128 = -64

A negative discriminant indicates there are two conjugate complex roots.

find x if 2^x=8^3x-8

Answers

Step-by-step explanation:

First we have to same the bases.

As we know 8=2^3.

Replace 8 with 2^3.

Like this .

2^3x=2^3(2x+1).

Now 3x=3(2x+1) distribute 3 by the Barker.

3x=6x+3.

6x+3=3x.

6x-3x=-3.

3x=-3.

X=-1.

Select all of the trips that would take two hours.
a. Drive 60 miles per hour between Raleigh and
Wilmington, which are 120 miles apart

b. Walk 3 miles per hour to school, which is ½ mile
away

c. Take a train going 70 miles per hour from Hershey to
Philadelphia, which are 140 miles apart

Answers

Answer:

A and C

Step-by-step explanation:

ive seen this question before

Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)

Answers

Answer:

327.5

Step-by-step explanation:

8452/23 = 327.478

Round to about 327.5 books per class

Answer:

each class gets 367 books

Kyle Lowry earned $31.2 million in US dollars playing for the Toronto Raptors during the 2018–2019 season. How much was he earning in US dollars each hour of the year?
A $2050.20
B $1872
C $3562
D $1300

Answers

Answer:

I think C or D not sure about the question answer

He was earning 3562 each hour.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Kyle Lowry earned $31.2 million.

So, In each month he read

= 31200000 / 12

= $2,600,000

and, in each day she earn

= 2, 600, 000 / 30

=86,666.666

and, in each hour she earn

= 2, 600, 000 / 24

= 3611

Hence, He was earning 3562 each hour.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ5

HELPPPPPPP plssssssss

Answers

Answer:

The length of FB IS D) 7 units

What is the answer to 4y/y?

Answers

Answer:

4

Step-by-step explanation:

[tex]\frac{4y}{y}[/tex] = 4 because the variable y on the numerator and the denominator can cancel out.

h(x)=2x+5 for h(x+3)
solve for h(x+3)
pls help aaaaaaaaaaaa i

Answers

Answer:

According to transitive Property of equality :  If a =b and b = c then a = c

In this problem you are given with 2 equations:  

                                h(x) = - 2x + 5  ---- 1

                                h(x) = 3           ------ 2

Apply transitive Property of equality to equation 1 and 2

      - 2x + 5       =  3                     Now solve for x.  

      -2x  + 5 - 5   =  3 – 5           subtract 5 on both sides.

                   -2x  = -2                              

   (-2x)/(-2) = (-2) / (-2)        Divide with -2 on both sides.

              X = 1

Step-by-step explanation: I hope this helps.

PLS HELP WILL MARK YOU BRAINLIEST!!!

Answers

[tex]\\ \sf\longmapsto (3x-2x^2+3)-(-5x^2+3x+5)[/tex]

[tex]\\ \sf\longmapsto 3x-2x^2+3+5x^2-3x-5[/tex]

[tex]\\ \sf\longmapsto 5x^2-2x^2+3x-3x+3-5[/tex]

[tex]\\ \sf\longmapsto 3x^2-2[/tex]

Answer:

The answer is B

Step-by-step explanation:

3x - 2x^2 + 3 -(-5x^2 + 3x + 5)

3x - 2x^2 + 3 + 5x^2 - 3x - 5

= 3x^2 - 2

Is this graph misleading?
People of different ages were asked the question "Do
you listen to audiobooks?" The bar graph below
displays the percentage of "yes" responses for
different age groups.
O No, because the bars are all the same width.
O No, because the scale starts at 0.
O Yes, because the bars are not the same height.
O Yes, because the scale does not start at 0.
Audiobook Listeners
0.50
0.40
0.30
Relative Frequency
0.20
0.10
13-17
18-25
36-45
Over 45
26-35
Age

Answers

Answer:

D. Yes, because the scale does not start at 0.

Step-by-step explanation:

Solve the equation. -4 (m + 3) = 24

Answers

Answer:

Answer is( - 9)

Step-by-step explanation:

Hope it helps

Hello there!

-4(m+3)=24

Use the Distributive Property:

-4(m+3)=24

-4m-12=24

-4m=24+12

-4m=36

m=-9

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Find the Slope. Show the solution.

1. m = y2 - y1/ x2 - x1

| x | 0 | 1 | 2 | 3 | 4 |
| y | 2 | 3 | 4 | 5 | 6 |


2. y= 2x - 5
m = rise/run


3. (1,8) & (0,2)


Please answer correctly,thank youu! :)

Answers

1.
0-1/2-3 = 1
1-2/3-4 = 1
2-3/4-5 = 1
3-4/5-6 = 1
Since all of these are equal to 1, the slope for the table is 1

2. The slope is 2 as the slope is the number before x on a linear equation

3. 1-0/8-2 = 1/6

i need help fast please

Solve this and show steps

4.5×8-(0.4+9.6-(3.6-1.8))

Answers

Answer:

27.8

Step-by-step explanation:

You need to do brackets first

3.6-1.8 = 1.8

Then substitute

4.5 x 8- (0.4 + 9.6- 1.8)

0.4+9.6-1.8=8.2

4.5 x 8 - 8.2 =27.8

which temperature is lower -6 or 3

Answers

Answer:

-6

Step-by-step explanation:

this is so easy. if u watch anime at least get to 5th grade. anyways, -6 is less than 3 because -6 is negative, meaning below 0.

In the expression 4ab + 5a
- 3c, what is the coefficient of the term 4ab ?

Answers

Answer:

4

Step-by-step explanation:

coefficients are the numbers in a term, and the letter is called constant

Answer:

4

Step-by-step explanation:

The numeric value of the term is called the coefficient of the term.

When multiplying exponents do you add them.

Answers

Add the exponents if the bases are the same, multiply the bases if the exponents are the same, if nothing is the same just solve it.

Mr. Ocampo has two kind of fruit in his basket. The ratio of apples to oranges is 3:2. If there are 18 apples then how many pieces of fruit are there.

Answers

Answer:

There are 27 pieces of fruits

Step-by-step explanation:

Given, apples=18

ratio of apples to oranges =3:2

Now, x/18 =3/2

or, 2x=18*3

or, x=54÷2

x =27„

please mark as branliest answer

hope it helps you

What is the slope for M(4,-8 negative) N(6,-1 negative)

Answers

Answer:

m=7/2

Step-by-step explanation:

If angles are supplementary, then one of the angles is an obtuse angle. Answers are these Sometimes always or never pick one

Answers

An obtuse angle measures 180 degrees if angles are supplementary then one of the angles is about an obtuse angle
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