Rewrite the equation by completing the square.
X^2+8x+12=0

Answers

Answer 1

Answer:

(x + 4)² - 4 = 0

Step-by-step explanation:

Given

x² + 8x + 12 = 0

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 8x

x² + 2(4)x + 16 - 16 + 12 = 0

(x + 4)² - 4 = 0


Related Questions

Which relation represents a function?
A. (0, 0), (2, 3), (2, 5), (6, 6)
B. (3, 5), (8, 4), (10, 11), (10, 6)
C. (negative 2, 2), (0, 2), (7, 2), (11, 2)
D.(13, 2), (13, 3), (13, 4), (13, 5)

Answers

Answer: Choice C

For choices A, B and D, the x values repeat in some way.

Choice A has x = 2 repeated

Choice B has x = 10 repeated

Choice D has x = 13 repeated

A function cannot have repeated x values. Put another way, a function is only possible if any given x input goes to exactly one y output.

Choice C shows each x value listed once only. If you were to graph these points, then the relation will pass the vertical line test.

Haddle wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees she only has

$122.66 In her checking account. Haddle has opted in to the standard overdraft practices at her bank. How many fees is Haddle likely to pay for

writing the check?

Answers

Answer:

she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store

Step-by-step explanation:

We are told she wrote a check to the grocery store for $156.00.

And that when she looked at her check register later that day, she had only $122.66.

This means she doesn't have sufficient balance for the grocery.

It means the bank will pay the overdraft and it attracts charges which may vary for different banks.

Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store

9.36 divided by 0.52

Answers

Answer:

9.36 / 0.52 = 18

Step-by-step explanation:

Divide them.

704% into a fraction

Answers

Answer:

7 4/100

Step-by-step explanation:

[tex] \green {\boxed{Answer}}[/tex]

[tex] = 704\%[/tex]

[tex] = \frac{704}{100} [/tex]

[tex] = \frac{704 \div 4}{100 \div 4} [/tex]

[tex] = \frac{176}{25} [/tex]

[tex] = 7 \frac{1}{25} [/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

Please help me and explain your answer and how you got it.

Answers

Answer: It’s 125
Explaination

Answer:

35

Step-by-step explanation:

Its the only one that really makes sense.

please help me with this.

Answers

Answer:

The answer is c

Step-by-step explanation:

The slope of the equation is

[tex] \frac{6 - 2}{7 - 9} = \frac{4}{ - 2 } = - 2 [/tex]

Let's take a point on the line (x, y)

[tex] \frac{y - 6}{x - 7} = - 2[/tex]

After solving this you can get

[tex]y - 6 = - 2(x - 7)[/tex]

That is the answer

A circular pizza with a diameter of 10 inches is in a square box with side lengths of 14 inches. In square inches, how much of the box is empty?

Answers

Answer:

117.46 sq in

Step-by-step explanation:

The area of the square is 196 sq in, and the area of the circle is 78.54 sq in. Subtracting this gives us the empty space, which is 117.46 sq in. Hope this helps

177.46 inch²

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Myself Ojasvi

Class 8, 13

India

What is the slope of the graph of 3x - 3y = 6?

Answers

Answer:

pls help

Step-by-step explanation:

mrs.jacobson asked her students to write a world problem that describes the graph below. which world problem accurately describes the graph?

Answers

Answer:

please attach the graph

2-83. Build, simplify, and solve each equation. Record your work. Drag the tiles below into the equation mat.
a. -x+ 2 = 4​

Answers

Answer:

you need to add 2 to the x and convert it to negative   X=-2

Step-by-step explanation:


Is this a function? Explain

Answers

Answer:

Yes

Step-by-step explanation:

The only reason a graph will not be a function is if it doesn't pass the vertical line test. In other words, if you draw a vertical line at any point, it will never pass through more than 1 point.

In that case, that is true, so it must be a function.

-2 ( 1/4x + 2) > or equal to 5

Answers

-2(1/4x+2) >= 5
-0.5x-4 >= 5
-0.5x >= 9
x >= -18

why doesn’t 0^1 equal 0 but 1^1 equals 1 and 1^0 . can you explain why?

Answers

Answer:

because 0^1 equals 1

Step-by-step explanation:

in most cases anything to the power of 0 would equal one so that means that 0 to the power 1 would equal one.. I think

Can someone help really quickly?

Answers

[tex]\bold{Answer:}[/tex]1. -10
2. -5
3. 10
4. 15
5. 30

[tex]\bold{Explanation:}[/tex]Plug the x values into f(x)=5x+5 to get the f(x) values

find the midpoint of the line segment joining the points. (6, -5), (6, 3)

Answers

Answer:

The mid point is (6,-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3-5/2

6-6/2

-2/2=-1

0/2= 0

(-1,0)

What number would go in the blank? (3 • 5) • 2 = 3• C • 2)​

Answers

Answer:

its 5

Step-by-step explanation:

Sarah and her children went into a movie theater where they sell bags of popcorn for $7.50 each and drinks for $4.50 each. Sarah has $90 to spend and must buy a minimum of 16 bags of popcorn and drinks altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

A possible solution is she should by 6 bags of popcorn and 10 drinks

Step-by-step explanation:

The price of each bag of popcorn = $7.50

The price of each drink = $4.50

The amount Sarah has to spend = $90

The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks

Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y

Therefore, we have;

x + y ≥ 16.....(1)

x × 7.5 + y × 4.5  ≤ 90

Which gives;

7.5·x + 4.5·y ≤ 90....(2)

Rewriting the inequalities as a function of y, gives;

From inequality (1), x + y ≥ 16, we have;

y = ≥ 16 - x

From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;

7.5·x + 4.5·y ≤ 90

4.5·y ≤ 90 - 7.5·x

y ≤ 90/4.5 - 7.5/4.5·x

y ≤ 20 - 5/3·x

Please find attached, the plot of the inequalities

A possible solution is given as the value of x = 6, where y = 10

Therefore, she should by 6 bags of popcorn and 10 drinks.

Can you guys please help me!!!!

Answers

Answer:

The graph of y = x^3 has been translated 3 units to the right and 4 units upward

Thanks and have a great day!

1. Half of a number is at most 5 units from 14.​

Answers

Answer:

18≤n≤38

Step-by-step explanation:

4.5x-1.5y=5.4 solve equation for y

Answers

Answer:

y=-3.6+3x

Step-by-step explanation:

If two-fifths of a certain number is subtracted from twice the number, the result is 4. PLS ANSWER​

Answers

Answer:

4

Step-by-step explanation:

2x-2/5=4

2x= 4+(2/5)

2x= 4/5+20/5

x=(22/5)/2

x= 22/10 or 11/5

check:

2(11/5)-2/5=(22/5)-(2/5)

=20/5

=4

Answer:

213 answer

Step-by-step explanation:

I hope it help

Graph the solutions to I-2 on a number line.

Answers

Where would i be able to graph this

HELP PLEASE !!!!
(2^6)^x=1 what is the value of x?

Answers

Answer:

x = 0

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Given

[tex](2^{6}) ^{x}[/tex]

= [tex]2^{6x}[/tex]

The only way for this to equal 1 is for x to be zero

Thus x = 0

Which of the following is a perfect square trinomial?

A. x + 10x + 20
B.x?+ 10x + 50
C.x + 10x + 25
D.x? + 5x + 10

Answers

Answer:

A

Step-by-step explanation:

Help? Find angle psw

Answers

The angle is about 80°

Please Help!

Subtract.

(2x^4−x^2+5x−2)−(−x^4+3x^3+2x^2−1)

Answers

Answer:

Heya!!

here's your answer

3x^4 − 3x^3 − 3x^2 + 5x −1

The table shows some values of f(x) and g(x) for different values of x: x f(x) = 15x − 12 g(x) = 3x −2 0.11 −1 −27 0.33 0 −12 1 2 Complete the chart and determine the solution of the equation f(x) = g(x).

Answers

Answer:

X=1 or C

I hope this helps:)

Answer:

The Answer is C. x = 1

Hope This Helps!

pls answer properly im giving all my points for this question

47 points

Answers

Answer:

A)

Step-by-step explanation:

IT IS A OKAYyyyy TRUSTTTT

help...................

Answers

Answer:

it is the 1.2 answer

Step-by-step explanation:

The answer is 1.2 Hope this can help!!

you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimum number of bricks will you need to occupy this area

Answers

Answer:

1800 bricks

Step-by-step explanation:

Given

[tex]Sidewalk = 100ft\ by\ 4ft[/tex]

[tex]Brick = 8 in\ by\ 4 in[/tex]

Required

Calculate the minimum bricks needed

To start with, we calculate the area of sidewalk

[tex]Sidewalk = 100ft * 4ft[/tex]

[tex]Sidewalk = 400ft^2[/tex]

Next, we calculate the area of sidewalk

[tex]Brick = 8in * 4in[/tex]

[tex]Brick = 32in^2[/tex]

Divide area of sidewalks by area of bricks to give number of bricks

[tex]Number = \frac{Sidewalk}{Brick}[/tex]

[tex]Number = \frac{400ft^2}{32in^2}[/tex]

Convert units ([tex]ft^2[/tex] to [tex]in^2[/tex])

[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]

[tex]Number = \frac{57600in^2}{32in^2}[/tex]

[tex]Number = 1800[/tex]

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