An equation and the first step in its solution are shown.

Equation: x2 + 3x – 9 = 0

Step 1: x2 + 3x + h = 9 + h



What value of h is used to solve the equation by the method of completing the square?

Answers

Answer 1

Answer:

The answer is either 1.5 or 0.667

Step-by-step explanation:

x2+3x-9=0

x2+3x=9

6x=9

x=1.5

or

x=667

Answer 2

the value of 'h' used to solve the equation by completing the square method is [tex]\frac{9}{4}[/tex]

Given :

An equation and the first step in its solution are shown.

Equation: [tex]x^2 + 3x -9 = 0[/tex]

Step 1: [tex]x^2 + 3x + h = 9 + h[/tex]

In completing the square method , we take the coefficient of x  and divide it by 2  and then square it

coefficient of x is 3

divide it by 2 , so we get [tex]\frac{3}{2}[/tex]

Then we square it [tex](\frac{3}{2} )^2\\\frac{9}{4}[/tex]

Then we add it on both sides of the equation

[tex]x^2 + 3x + \frac{9}{4} = 9 + \frac{9}{4}[/tex]

So, the value of 'h' used to solve the equation by completing the square method is [tex]\frac{9}{4}[/tex]

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Related Questions

Two chemicals are mixed in a test tube and a chemical reaction takes place. If this reaction is endothermic and the test tube is touched, which of the following best describes what is felt?

The test tube is cold.

The test tube is warm.

The test tube is very hot.

The test tube is the same temperature as the air.

Answers

The test tube is cold best describes what is felt.

Option A is the correct answer.

What is a chemical reaction?

A chemical reaction is a process that leads to the transformation of one set of chemical substances into another.

In other words, it is the process of breaking and forming chemical bonds between atoms to create new compounds with different properties than the original substances.

We have,

An endothermic reaction is a type of chemical reaction that absorbs heat from the surrounding environment, resulting in a decrease in temperature.

In this case,

The chemical reaction that occurred in the test tube absorbed heat from the surroundings, including the air and the test tube itself.

As a result, the temperature of the test tube decreased, making it feel cold to the touch.

Thus,

The test tube is cold best describes what is felt.

Learn more about the chemical reaction here:

https://brainly.com/question/29039149

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Please help-

(Ignore the graph part)

Answers

Answer:

Uhm I thought I knew the answer but I don't

Step-by-step explanation:

Sorry I'm no help have a good day tho someone else can probably answer it right tho... Hope you have a good day!!

You would plug in numbers from -2 to 2 in the equation to fill out the chart. The y intercept is 5.

Can someone plz help

Answers

Answer:

it is either 300 or 10 hope this helps please mark brainliest

Step-by-step explanation:

300 or 10 hope i helped

Please help this is due in 2 periods.

Answers

Answer:

21

Step-by-step explanation:

Use Pemdas.

Parentesis first so 5+4 = 9 and 8-6=2 so, 9X2=18+3=21

12-5-6 and 20 goes into 9 100 times

Consider z = 3StartRoot 3 EndRoot + 3i. What happens to the modulus and argument when z is raised to the 4th power?

Answers

Answer:

It's A

Step-by-step explanation:

Just took it and it matches

The modulus increased by 216 and the argument increased by π/2. Option A is correct

What is a complex number?

The number that constitutes of real and imaginary numbers are called complex numbers.

[tex]z = 3\sqrt{3} + 3i\\z^4 = (3\sqrt{3} + 3i)^4\\z^4 = 648(-1+\sqrt{3}i )[/tex]
Modulus and argument of  [tex]z^4[/tex] is given by.
[tex]|z^4| = 648\sqrt{1+3} \\|z^4| = 648\sqrt{4} \\|z^4| = 648*2\\|z^4| = 1296[/tex]
argument
[tex]\theta=tan^{-1}(\sqrt{3} /-1)\\\theta=tan^{-1}(-\sqrt{3} )\\\theta= -\pi /3[/tex]
similarly, the Modulus and argument of  z is given by.
Modulus
|z| = 6
argument
[tex]\theta=\pi /6[/tex]
Now comparing Modulos and argument of  [tex]z^4[/tex] and z
 [tex]z^4[/tex]/z = 1296/6 = 216
[tex]\theta=\pi /6+\pi /3\\\theta=\pi /2[/tex]

Thus, The modulus increased by 216 and the argument increased by π/2. Option A is correct.

Learn more about complex number here: https://brainly.com/question/28007020

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WILL MARK BRAINLIEST PLEASE HELP

Answers

Answer:

(1,2)

Step-by-step explanation:

half it! :)

(4,8)
dilate means to get bigger, so you multiply (2,4) by two

The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole.

Answers

Answer as a fraction = 1/2

Answer as a decimal = 0.5

Answer as a percent = 50%

========================================

Explanation:

There are 5 blue rectangles out of 10 total. This forms the fraction 5/10 and that reduces to 1/2 after dividing both parts by 5. Therefore, the fractions 5/10 and 1/2 are the same. Notice that exactly half of the entire figure is shaded blue.

Use long division or your calculator to find that 1/2 = 0.5 which converts to 50% when you move the decimal point 2 spots to the right.

Answer:

5/10 , 0.5 , 50%

Step-by-step explanation:

Please help me!!! Whoever best explains their answer will get brainliest!!!

Answers

Answer:

yellow I believe is the answer

Answer:

It is the yellow one.

Step-by-step explanation:

When you have 4x+2y=1 and -4x+4y=5 you subtract.

A recipe requires one quarter cup of milk as a base and then, in addition, 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
A.y=4x + 4
B.y=4x+14
C.y=14x+4
D.y=14x + 14

Answers

A: y=4x+4

A recipe requires 1 cup of milk for every 4 cups of flour.
Let y denotes the number of cups of milk and x denotes the number of cups of flour.

A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?

Good Luck!! First correct answer gets brainliest!!!

Answers

Answer:

There are 47 cards

Step-by-step explanation:

Trial and error

The answer would be that there are 47 cards.

help please
Divide. 64.2 ÷ 100

Answers

Answer:

0.642 is the answer please give brailiest

Answer:

0.642 calculator bc I'm stüpìd

Brainliest to the first right, :))))

Answers

Y=8 thank you for your time

Answer:

y=8

Step-by-step explanation:

Select all equations that have infinite solutions.
А
2 - 2x = -2(x - 1)
B
2x + 7 = 2x – 7
С
5x + 4 = 5 (x + 4)
D
X – (x - 2) = x
E
5x
4x + 1

Answers

Answer:

Step-by-step explanation:

C

Answer:

B, C, and E, i might not be right though D:

Please help get value of x. I believe it is 7 but idk.

Answers

The value of x would be 8

Answer:

It's 8

Step-by-step explanation:

A construction crew is extending a highway sound barrier that is 13 miles long. the crew builds 1/2 of a mile per week. Write an equation the represents the length Y (in miles) of the barrier after X weeks.

Answers

Answer:

y= 1/2x + 13

because the barrier is already 13 miles long, and they're adding 1/2 miles every week

The equation the represents the length Y (in miles) of the barrier after X weeks is y = (1/2)x + 13

A linear equation is in the form:

y = mx + b;

where m is the slope, b is the y intercept and y, x are variables.

Let y represent the length of the barrier after x weeks.

Since the crew builds 1/2 of a mile per week hence m = 1/2, Also the barrier is 13 miles long, hence b = 13, hence:

y = (1/2)x + 13

The equation the represents the length Y (in miles) of the barrier after X weeks is y = (1/2)x + 13

Find out more at: https://brainly.com/question/18645580

Find the equation of the line that passes through the given points on the graph below.

Answers

y = -4/3x - 1

because rise over run is slope or you can do (y2-y1)/(x2-x1) and the y intercept is -1

Answer:

y = -4/3x - 1

Step-by-step explanation:

solve:[tex]\frac{x}{5}[/tex]=6.x

Answers

x = 30

multiply all terms by 6
X=0

5x6=30x but you must remove the x and add a negative variable so it’s x-30x=0, collect the terms so it’s then -29x=0. Divide them on both times and it’s x=0

I hope this helps!!

Help and you get BRANILEST I ALSO PUT 46 points

Answers

Answer:

C

Step-by-step explanation:

my teacher told me

Convert phrases to numerical expressions and solve
Ten to the power of four minus one thousand plus one thousand

Answers

Answer:

10000 - 1000 + 1000 = 10000

Step-by-step explanation:

10 to the forth power = 10000 - 1000 = 9000 + 1000 = 10000

1000 hopes this helps luv

11 more than a number q is negative 15 ; Solve for the variable.

Answers

Answer:

q = -26

Step-by-step explanation:

Set up an equation where q is the unknown number:

q + 11 = -15

Solve for q by subtracting 11 from both sides:

q + 11 = -15

q = -26

use the absolute value formula to express the distance between 9 and -8

Answers

Answer:

I think it's 17 I hope I'm right

Its 17 because if you start at 0 and go 8 to the left and 9 to the right 8+9 is 17

Nick leaves his apartment and travels down two flights of stairs to get to the parking lot below ground level. Nick’s elevation, in feet, as it relates to time is represented by the sketch shown below.

Which statement best represents the three horizontal portions of the graph?




Nick's speed decreases.


Nick is moving but the elevation is constant.


Nick stopped but the elevation is decreasing.


Nick is moving at a constant rate as the elevation is decreasing.

Answers

Answer:

Nick’s speed decreases

Step-by-step explanation:

He’s not going at a steady speed, and his speed only decreases

The answer would be that nicks speed decreases.

Volume questionnnnnn

Answers

Answer:

a

Step-by-step explanation:

1. You have two playing cards with a sum of (−12) in your hand.
a. What two cards could you have?
b. You add two more cards to your hand, but the total sum of the cards remains the same, (−12). Give two different examples of two cards you could choose.

Answers

Yes the person is right I was trying to type it but they beat me to it

i need help please fast

Answers

the answer to this equation is 6.48
i hope this helped !!

-8x+2y>-6

y>-3+4x

Solve the system if equations pls help me

Ignore my username

Answers

the first one is x < 3/4 + y/4

solve for s: 6.49s + 8.32 = 27.79

Answers

Answer:

s=3

hope u have a great day

Answer:

s = 3

Step-by-step explanation:

STEPS FOR SOLVING LINEAR EQUATION

6.49s+8.32=27.79

Subtract 8.32 from both sides.

6.49s=27.79−8.32

Subtract 8.32 from 27.79 to get 19.47.

6.49s=19.47

Divide both sides by 6.49.

s=

6.49

19.47

Expand  

6.49

19.47

 by multiplying both numerator and the denominator by 100.

s=

649

1947

Divide 1947 by 649 to get 3.

s=3

help please
Dan works a paper route. He started out with 180 papers. He has 65 left to deliver. Write
and solve an equation to find the number of papers Dan has delivered.

Answers

Answer:

so if he has 180 papers now he has 65 the answer should be 115

Step-by-step explanation:

180-65=115

Answer: The Answer is 115. I belive this is correct, please comment if not.

Step-by-step explanation: Ok, so to find this answer all you have to do is subtract 180-65=115

Solve the inequality for x

-3x + 6 < 15

A) x < -3

B) x < -7

C) x > -3

D) x > -7​

Answers

Answer: The answer is maybe a but b is close to a answer also so maybe a or b but c and d is no were close

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

can u help me please​

Answers

Answer: There is no solution

Step-by-step explanation:

First, move the 7 to the other side

y=3x-7

Then plug that into the second equation

6x-2(3x-7)=12

6x-6x+14=12

0x=-2

There is no solution

Answer: There is no solution
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