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Keith_Richards [23]
3 years ago
13

If the output of the equation f(x)=3x+7 is -2 what is the input and how do you solve it?

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

-2 = 3x + 7

subtract 7 from both sides

-9 = 3x

divide by 3

-3 = x

check

-2 = 3 (-3) + 7

-2 = -9 + 7

-2 = -2

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The regression equation is y = -0.42647x + 29.11471 and the correlation coefficient is -0.9607

<h3>How to determine the regression equation?</h3>

The table of values is given as:

Completion Percentage 57 59 62 63 64

Interception Percentage 5 3.5 3 2.5 1.5

Next, we enter the above values in a graphing calculator.

From the graphing calculator, we have the following summary:

  • Sum of X = 305
  • Sum of Y = 15.5
  • Mean X = 61
  • Mean Y = 3.1
  • Sum of squares (SSX) = 34
  • Sum of products (SP) = -14.5
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Regression Equation = ŷ = bX + a

b = SP/SSX = -14.5/34 = -0.42647

a = MY - bMX = 3.1 - (-0.43*61) = 29.11471

So, the regression equation is

y = -0.42647x + 29.11471

And the correlation coefficient is -0.9607

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brainly.com/question/14313391

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7 0
2 years ago
The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time
natima [27]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
2/3y - 2/5 = 5 and please show work Algebra
Travka [436]

2/3y-2/5=5

We move all terms to the left:

2/3y-2/5-(5)=0

Domain of the equation: 3y!=0

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determiningTheFunctionDomain

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3 years ago
Read 2 more answers
The smallest square number which can be divisible by 11 and 5​
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Answer:

3025

Step-by-step explanation:

let's look at it in this concept.

For a number to be divisible by 11 and 5. it must be a multiple of the LCM of 11 and 5.

LCM of 11 and 5=55

therefore the number is 55x, where x is a positive integer.

it is a said that the number is a perfect square

therefore the square root of 55x must be an integer.

\sqrt{55x}  =  \sqrt{5 \times 11 \times x}

the smallest value of x to make 55x a perfect square is....

x = 11 \times 5 = 55

Therefore the number is.... .

55x = 55(55) = 3025

<em>sweet</em><em> </em><em>right</em>

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3 years ago
If a point has a negative x-coordinate, and its y-coordinate is positive, where does the point lie relative to the origin? Expla
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      If a coordinate has a negative x-coordinate and its y-coordinate is positive, then the point  is on the 2nd quadrant.
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