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seraphim [82]
2 years ago
14

The slope of a line is 3. The y intercept of the same line is -12

Mathematics
2 answers:
elena-14-01-66 [18.8K]2 years ago
8 0

Answer:

<u>y = 3x - 12</u>

Step-by-step explanation:

Forming the slope-intercept equation :

y = mx + b

  • m = slope
  • b = y-intercept

Substitute m = 3 and b = -12 in the equation :

  • <u>y = 3x - 12</u>
sveticcg [70]2 years ago
8 0

Answer:

y = 3x - 12

Step-by-step explanation:

The slope intercept form of a line is y = mx + b, where m is the slope and b is the y intercept. Here, m = 3 and b = -12. Therefore, the slope intercept form for this line is y = 3x - 12.

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nlexa [21]
Whats The Question ????
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3 years ago
The following data pairs represent the average temperature x (in degrees Fahrenheit) and electricity
elena55 [62]

Answer:

<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>

Step-by-step explanation:

Using Excel, we captured the data provided for the 12 different homes for calculating the correlation coefficient manually, this way:

n = 12

∑x = 904

∑y = 2,169

∑xy = 167,532

∑x² = 69,552

∑y² = 404,615

r =  [n *∑xy  - (∑x * ∑y)]/[√(n * ∑x² - (∑x)²) * (n * ∑y²  - (∑y)²)]

Replacing with the real values, we have:

r = [12 * 167,532  - (904 * 2,169)]/[√(12 * 69,552 - 904²) * (12 * 404,615  - 2,169²)]

r = [2'010,384  -1'960,776]/[√(834,624 - 817,216) * (4'855,380  - 4'704,561]

r = 49,608/√17,408 * 150,819

r = 49,608/ 51'239.215

r = 0.00097

<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>

4 0
3 years ago
Read 2 more answers
Geometry Pythagorean theorem
lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<h3>________________________________________________</h3>

<u>Question 9:</u>

  • 10² = 6² + x²
  • => 100 = 36 + x²
  • => 100 - 36 = x²
  • => 64 = x²
  • => x = 8
<h3>________________________________________________</h3>

<u>Question 10:</u>

  • 26² = 24² + x²
  • => 676 = 576 + x²
  • => 676 - 576 = x²
  • => 100 = x²
  • => x = 10
<h3>________________________________________________</h3>

<u>Question 11:</u>

  • 15² = 12² + x²
  • => 225 = 144 + x²
  • => 225 - 144 = x²
  • => 81 = x²
  • => x = 9
<h3>________________________________________________</h3>

<u>Question 12:</u>

  • x² = 8² + 12²
  • => x² = 64 + 144
  • => x² = 208
  • => x = √208
  • => x = 14.2 (Rounded)
<h3>________________________________________________</h3>

<u>Question 13:</u>

  • 7² = 2² + x²
  • => 49 = 4 + x²
  • => 49 - 4 = x²
  • => 45 = x²
  • => x = √45
  • => x = 6.7 (Rounded)
<h3>________________________________________________</h3>

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

  • => 5² = 3² + x²
  • => 25 = 9 + x²
  • => 16 = x²
  • => x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

  • (3 + 6)² = 5² + y²
  • => (9)² = 25 + y²
  • => 81 = 25 + y²
  • => y² = 56
  • => y = √56
  • => y = 7.5 (Rounded) units

Answers (Nearest tenth):

  • x = 4 units
  • y = 7.5 units
<h3>________________________________________________</h3>

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

  • 8² = 6² + y²
  • => 64 = 36 + y²
  • => 28 = y²
  • => y = √28
  • => y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

  • x = 2y
  • => x = 2(5.3)
  • => x = 10.6 units

Answer (Nearest tenth)

  • x = 10.6 units
  • y = 5.3 units
<h3>________________________________________________</h3>
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2 years ago
What is independent. And what is dependent.
rewona [7]

☻ ~~~~~~~~~~~~ Hello! ~~~~~~~~~~~~~~~ ☻

➴ Independent = P   Dependent = W

When you wait in line, sometimes there is less or more people. Sometimes, you wait longer than other days. If there are more people, the time will go up. If there are less people, the waiting time will go down. So, the wait is dependent on the number of people.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ ♡

8 0
3 years ago
If 3x−y=12, what is the value of <br>8x<br>2y
PSYCHO15rus [73]

Answer:

8x=32\\2y=-24

Step-by-step explanation:

When solving for 1 variable, set the other to 0 and solve.

3x-y(0)=12\\3x=12\\x=4\\4*8=32\\8x=32\\\\3(0)-y=12\\-y=12\\y=-12\\-12*2=-24\\2y=-24

8 0
3 years ago
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