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adelina 88 [10]
3 years ago
11

X^2 - 6 = -2x Find the solution by completing the square

Mathematics
1 answer:
Lunna [17]3 years ago
6 0

Answer:

x = -1±sqrt( 7)

Step-by-step explanation:

x^2 - 6 = -2x

Add 2x to each side

x^2 +2x- 6 = -2x+2x

x^2 +2x -6 = 0

Add 6 to each side

x^2 +2x- 6+6 = 6

x^2 +2x = 6

Take the coefficient of x

2

Divide by 2

2/2 =1

Square it

1^2 =1

Add this to each side

x^2+2x+1 = 6+1

(x+1)^2 = 7

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 7)

x+1 = ±sqrt( 7)

Subtract 1 from each side

x+1-1 = -1 ±sqrt( 7)

x = -1±sqrt( 7)

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Please help ASAP!!! Thank you so much!!! Just want confirm my answer it is y=150x-50. A concession stand at a football game took
jekas [21]

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

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

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

m = (y2 - y1)/(x2 - x1)

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b =  -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

-------

As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

3 0
3 years ago
Please Help. I’m confused. I will give Brainliest Answer.
RUDIKE [14]

Answer:

A

Step-by-step explanation:

The other situations do not represent a 60% probability.

B is a situation in which 40% of people prefer aisle seats.

C is a situation in which 33% of people prefer aisle seats

D is a situation in which 66% of people prefer aisle seats.

3 0
3 years ago
Please help!! BRAINLIEST to correct answer!! I’m just confused by how to find two answers. I only found one.
GenaCL600 [577]
I have no clue but you could ask your teacher to help u with it no jk the answer is -7
3 0
3 years ago
8th grade geometry part 3, please explain the steps :)))
Illusion [34]

Answer: Volume = 97.6

Step-by-step explanation:

Volume of the cone first

V = 1/3 h π r²

<u>h = 0.7</u>

<u>r = 2</u>

V = 1/3 × 0.7 × 2² × 3.14

V = 1/3 × 0.7 × 4 × 3.14

V = 1/3 × 8.792

V = 2.93

Then find the volume of the cylinder if the cone was there.

V = π r² h

<u>r = 2</u>

<u>h = 8 </u>

V = 3.14 × 2² × 8

V = 3.14 × 4 × 8

V = 3.14 × 32

V = 100.48

Now you subtract the volume of the cone from the cylinder.

100.48 - 2.93 = 97.55

Rounded to the nearest tenth is 97.6

Hope this was helpful, I know it is a lot to look at but I tried my best.

Also, can I get brainliest? I worked really hard on this.

7 0
1 year ago
Find 142.1% of 469.6. Round to the nearest thousandth.
Yuri [45]
667.302 would be the correct answer, I did it in a calculator
3 0
3 years ago
Read 2 more answers
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