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 slope of the line given the following points on the line:

(-6, 4) and 2, 7)

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

[tex]\boxed{\sf Slope:3/8}[/tex]

Step-by-step explanation:

To determine the slope of a line given the coordinates of two points on the line, use the slope formula.

[tex]\boxed{\sf \sf{Slope\;(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

Points: [tex]\sf (-6, 4) \:and \:(2, 7)[/tex]

[tex]\longmapsto\sf \left(x_1,\:y_1\right):\left(-6,\:4\right)[/tex]

[tex]\longmapsto\sf \left(x_2,\:y_2\right)=\left(2,\:7\right)[/tex]

_______________

[tex]\leadsto\sf m=\cfrac{7-4}{2-\left(-6\right)}[/tex]

[tex]\leadsto\sf m=\cfrac{3}{8}[/tex]

_________________________________________

Write 456 in expanded notation using powers of 10​

Answers

Answer:

400+50+6

Step-by-step explanation:

456 means 400+50+6

someone please help meeeee! I don't know what the solution is!

Answers

Answer:

(2,4)

Step-by-step explanation:

Answer:  

(2,4)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

Find m<2
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

as the other triangle is Isosceles triangle which means it's two sides are equal and two angles are equal so

to find its 3rd angle apply angles sum property on it

according to which

2(68) + x = 180

136 + x = 180

x = 180 - 136

x = 44°

also we know, the other triangle is right angled triangle

so, it's one angle is 90° and 2nd angle is 44° (Vertically opposite angle)

therefore to know measure of angle 2 apply angle sum property of triangle in it too.

so,

90 + 44 + angle 2 = 180

134 + angle 2 = 180

angle 2 = 180 - 134

angle 2 = 46°

therefore, angle 2 is 46°

hope this answer helps you dear!

pls help asap MIDSEGMENTS

Answers

Answer:

Angle 2 = 64°

Step-by-step explanation:

Angle 2 = 180°-116° (int angles, 12//34)

=64°

Any help would be appreciated ​

Answers

Answer:

10

Step-by-step explanation:

Bisect the 72° angle to get an exterior angle of 36°.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.

360°/36° = 10

Answer: There are 10 sides.

what part of 3 dollars are 25 nickels

Answers

Answer:

25 nickles are 5/12ths of a dollar

Step-by-step explanation:

25*5=125, or $1.25. Now we make this a fraction, we get 1.25/3, or 5/12

The 25 nickels are the 5/12 part of the 3 dollars.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We know that 1 nickel = 0.05 dollars.

Then the number of dollars in 25 nickels will be given as,

⇒ 25 x 0.05

⇒ $1.25

Divide the number 1.25 by 3. Then we have

⇒ 1.25 / 3

⇒ 5 / 12

The 25 nickels are the 5/12 part of the 3 dollars.

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Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =

Answers

3 exponent 2 × 5 exponent 1 × 7 exponent 1

kelly has 47 model cars. Jamal has 58 model cars. Yesterday , jamal traded 8 model cars to kelly for 14 of her cars. How many cars did kelly have before the trade

Answers

Answer:

33 cars please give Brainliest

Explain what someone has to do to get a good credit rating.

Answers

Answer:

The key to developing a great credit score is not a formula, but there are certain general recommendations that may be followed. Make on-time payments on your debts on a consistent basis. One strategy to ensure that your payments are made on time is to set up automated payments or electronic reminders for your accounts. If you've fallen behind on your payments, get up to date and remain up to date.

Step-by-step explanation:

Hope it helps if this is what you mean;)

7≥ 3x + 4 is it 4, 1, 2 or -1

Answers

Answer:

x≤1

Step-by-step explanation:

7≥3x+4

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo. Esto cambia la dirección de la señal.

3x+4≤7

Resta 4 en los dos lados.

3x≤7−4

Resta 4 de 7 para obtener 3.

3x≤3

Divide los dos lados por 3. Dado que 3 es >0, la dirección de desigualdad sigue siendo la misma.

x≤  

3

3

 

Divide 3 entre 3 para obtener 1.

x≤1

Please help ( WILL MARK BRAINLIEST)

Answers

Answer:

The bottom right

*you won't see it yourself that the answer is correct because you are working on and iReady test friend*

Step-by-step explanation:

If you map out the shape in your head and slowly fold up the flaps, then you get a rectanglular prism.

math word problem: if jill takes a pill every 3 days and joe takes it every 4 for 65 days how many times will they take the pills together

Answers

Jill will have taken 21 in 65 days because 65 divided by 3 is 21.6666666667.

Joe will have taken 16 in 65 days because 65 divided by 4 is 16.25.

Can someone explain or help me with this?

Answers

Answer:

Step-by-step explanation:

6085 rounded to the nearest hundred is 6100

51,672 rounded to the nearest ten thousand is 50,000

simplify:
5 1/12 - 2 3/4 =
Express your answer as a mixed number.

Answers

Answer:

Mixed Number Form: 2 1/3

Step-by-step explanation:

pls help very confusing

Answers

Step-by-step explanation:

option D is correct.

hope this answer helps you dear! take care

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The additional information to prove the Triangles congruent is ~

[tex] \bar{AC} \cong\bar{ DF}[/tex]

The Triangles are congruent by SAS congruency criteria ~

Can someone please help me?
75 POINTS

Answers

Answer:

1. 8

2. 4

3. 5

4. 8/125

5. 4/3

6. 6

7. 8

8. 2

Step-by-step explanation:

This is true believe me I checked each one :)

10) Consider two lines. Line A is given by the function f(x) = 4x − 9, while Line B contains the points (0, 5) and (2, 12). Which statement is true? A) Line A and Line B have the same slope. B) Line A has a greater slope than Line B. C) Line B has a greater slope than Line A. D) Line A slope is less than the slope of Line B.

Answers

Answer:

B) Line A has a greater slope than Line B.

Step-by-step explanation:

When looking at [tex]f(x)=4x-9[/tex] is basically the same way of saying [tex]y=4x-9[/tex]

which is in slope-intercept form. Because of that, we know that the slope of line A is 4.

To find the slope of line B we have to use the slope formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]m=\frac{7}{2}[/tex] as a decimal [tex]m=3.5[/tex]

So line A slope = 4 and line B slope = 3.5

Which makes line A slope greater than line B slope

An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.

A: x+y=100
y=3x

B: x^2 + y^2 = 100^2
y= 3x

C: x+y=100
x=3y

D: x^2 + y^2 = 100^2
x=3y

Answers

Answer:

B) x² + y² = 100²

   y = 3x

Step-by-step explanation:

The pythagorean theorem : a² + b² = c²

c² in this case is 100, and a and b are x and y

The . vertical distance is three times the horizontal, or y = 3x

The correct option is x² + y² = 100², where y = 3x

-Chetan K

Rodrigo is taking a road trip. He plans to drive 2,471 miles, with an average of 230 miles per day.

Which equation represents Rodrigo's remaining miles, y, in terms of the number of days, x?

y=2,471x−230y is equal to 2 comma 471 x minus 230

y=−230x+2,471y is equal to negative 230 x plus 2 comma 471

y=2,471x+230y is equal to 2 comma 471 x plus 230

y=230x+2,471y is equal to 230 x plus 2 comma 471

Answers

Answer:

y= 2,471x - 230y because each day he travels the same average distance of 230 miles

Answer:

230 miles that is the answer

Please help and explain. You don't understand it very well.

Answers

Answer:

y = (-1/2)x + 2

Step-by-step explanation:

The black line slopes down as we move from left to right, so we conclude that the slope is negative.   From (0,  2) to (4, 0), y drops by 2 units (the rise) and x increases by 4 units (run).

Thus the slope is m = rise / run = -2/4, or m = -1/2.

The y-intercept is (0, 2), so the value of b in the equation y = mx + b is 2.

Thus the equation of this line is y = mx + b  =>  y = (-1/2)x + 2

A restaurant bill is $25.80. How
much is a 20% tip for this bill (NOT
the total)?

Answers

Answer:

25 pesos 80 pw

pesos I'm not sure

Step-by-step explanation:

25. 80

order the values from least to greatest​

Answers

Answer:

-7.2, -6.3, [5], [-6.3], 8

Substitution Property of Equality
Reflexive Property of Equality
Addition Property of Equality
Division Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Angle Addition Postulate

Pick 1 for each blank PLS HURRY!!!!

Answers

The first to are addition property of equality the third one is division property of equality

Mary places a 15-foot ladder against her house. The base of the ladder is 3 feet from her house How high up to the nearest tenth of a foot, the ladder reach on Mary's house?

taking math test plz help

Answers

Answer:

Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.

By Pythagorean theorem

12

2

+

x

2

=

15

2

x

2

=

15

2

12

2

=

81

x

=

81

=

9

ft

The base of the 15-foot ladder should be set back from the wall by x feet in order for it to precisely reach the top of a 12-foot wall.

What is nearest tenth?

The decimal number can also be rounded to the nearest tenths place value. The first number that appears after the decimal point is the tenth place value. Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value.

The tenths digit stays the same if it is 4 or less. The hundredths place digit, 8, is greater than or equal to 5, so 3.58 can be rounded to 3.6. Due to the fact that the digit in the hundredths place, 2, is less than 5, 3.32 would be rounded to 3.3.

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Find the perimeter. Simplify the answer.

Answers

Answer:

34p - 16

Step-by-step explanation:

Perimeter = 8p + 2 + 8p + 2 + 9p - 10 + 9p - 10

Perimeter = 16p + 18p + 4 - 20

Perimeter = 34p - 16

-Chetan K

we have : [tex]P=2[(9p-10)+(8p+2)]= 2[9p-10+8p+2] = 2[17p-8] = 34p-16[/tex]

ok done. Thank to me :>

3. After a study was completed at a local college, it was found that 386 in 1,112 students live
with their parents. What percent of the students lives with their parents? Round to the nearest
hundredth of a percent where necessary.
O 3.44%
O 34.71%
49.36%
065.28%

Answers

Answer:

34.71%

Step-by-step explanation:

1112-100 percent

386-x percent

x=386*100/1112≈34.71

The percentage of students living with their parents is 34.44%. The correct option is B.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that after a study was completed at a local college, it was found that 386 in 1,112 students live with their parents.

The percentage of the students who live with their parents will be calculated as,

Percentage = ( 386 / 1120 ) x 100

Percentage = 0.3471 x 100

Percentage = 34.71%

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Select the correct answer.

The difference of half a number and its reciprocal is represented by this expression.

Which expression also represents the difference?

Answers

Answer:

b

Step-by-step explanation:

mark me as brainliest pls

The expression which shows the difference is (n² - 2)/2n, the correct option is B.

What is an Expression?

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

The difference of half a number and its reciprocal is represented by this expression.

(n/2) - (1/n)

On solving

(n² - 2)/2n

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Letting x represent the number of messages over 500, and y the total monthly charges, write

equations representing the charges for plans A and B.

Answers

Answer:

x=500

Step-by-step explanation:

A litter of puppies consists of black puppies and white puppies. A

puppy is randomly selected and removed from the litter. Then another

random selection is made from the remaining puppies.

Event A: The first

selection is a black

puppy.

Event B: The second

selection is a white

puppy.

Is A dependent on B?

Answers

We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.

So the situation is:

We have a group of puppies, some are black, some are white.

Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:

n₁ + n₂ = N

Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:

q = n₁/N

Then now we have:

N - 1 puppies in total.n₁ - 1 black puppiesn₂ white puppies.

Now for the second selection, event B, the probability of selecting a white puppy is:

P = n₂/(N - 1)

Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.

So clearly event B depends on event A.

Now the question is:

Is A dependent on B?

No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.

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