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gtnhenbr [62]
3 years ago
5

What value is added to both sides of the equation x2 − 4x = −2 in order to solve by completing the square? 4, 2 , −2 , −4

Mathematics
1 answer:
Fiesta28 [93]3 years ago
6 0
X^2 - 4 x = -2
Add 4 to both sides:
x^2 - 4 x + 4 = 2
Write the left-hand side as a square:
(x - 2)^2 = 2
Take the square root of both sides:
x - 2 = sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
x = 2 + sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
Answer:  x = 2 + sqrt(2) or x = 2 - sqrt(2)
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Which of the following is an example of a function?
Leokris [45]
A. Not a function since we have the points (-1,0) and (-1,3). The x value repeats while the y values are different. Plugging in x = -1 leads to multiple outputs, which shows we don't have a function. To get a better visual, you can plot the points. You'll see that the points form a vertical line. Therefore, this graph fails the vertical line test. 

B. This is a function. All of the x values are different. The points, when graphed, pass the vertical line test. In other words, its impossible to draw a vertical line through any two points on the graph. Any x input here leads to exactly one y output.

C. This is not a function. Like choice A, we have repeated x values. In this case we have (4,6) and (4,7). The x value x = 4 repeats itself leading to multiple outputs y = 6 and y = 7

D. This is also not a function. The x value x = 0 repeats itself. The graph fails the vertical line test.

--------------------------------

Answer: Choice B

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4 0
3 years ago
OTHER ONE WASNT 50. 50 POINTS AND BRAINLIST IF GET RIGHT
nexus9112 [7]

Answer:

600 im pretty sure

Step-by-step explanation:

5 0
2 years ago
I need help with this<br> If x + 3 /3 = y + 2/ 2 ,then x/ 3 =
abruzzese [7]

Answer:

First solve for x

then substitute

Step-by-step explanation:

\frac{x+3}{3}= \frac{y+2}{2}

6(\frac{x+3}{3}=\frac{y+2}{2})

2x + 6 = 3y + 6

2x = 3y

x = \frac{3y}{2}

If \frac{x+3}{3}= \frac{y+2}{2} then \frac{x}{3} =

x = \frac{3y}{2} /3 = \frac{y}3}

6 0
2 years ago
Please tell me correct and​
choli [55]

Answer:

\frac{1}{4} or 0.25 (they're the same)

Step-by-step explanation:

First Part:

  1. 4^{3} = 64  
  2. 8^{2} = 64  
  3. 2 = 2  
  4. Multiply them together: 64 × 64 × 2 = 8192

Second Part:

  1. 2^{7} = 128  
  2. 16^{2} = 256  
  3. Multiply them together: 128 × 256 = 32768

Wrap it all up:

  1. 8192 ÷ 32768 = 0.25 = 1/4

I hope this helps!

7 0
3 years ago
Beth sold half of her comic books and then bought nine more. She now had 28. With how many did sh begin?
Vladimir79 [104]

Answer:

<h2><em><u>38</u></em></h2>

Step-by-step explanation:

She began with 38 books.

28 - 9 = 19

19(2) = 38

Hope this helps!

3 0
3 years ago
Read 2 more answers
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