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Afina-wow [57]
3 years ago
6

What is the answer to x in this equation K(x)=3/2x-1;k(x)=-4

Mathematics
2 answers:
I am Lyosha [343]3 years ago
6 0

Answer :

-1/3

Explaination :

K(x) = 3/2x - 1

K(x) = -4

K(-4) = 3 / 2(-4) - 1

K = 3 / -8 - 1

K = 3 / -9

K =

-  \frac {1}{3}

yan [13]3 years ago
4 0

Answer:

x = - 2

Step-by-step explanation:

Given k(x) = \frac{3}{2} x - 1 and k(x) = - 4, then equate right sides, that is

\frac{3}{2} x - 1 = - 4 ( add 1 to both sides )

\frac{3}{2} x = - 3 ( multiply both sides by 2 to clear the fraction )

3x = - 6 ( divide both sides by 3 )

x = - 2

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The following scatter plot shows the number of page views for a popular website and how many people signed up to receive emails
My name is Ann [436]

Answer:

See Explanation.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Linear Regression

Step-by-step explanation:

We can draw any best line of fit, as long as it is <em>reasonable</em> around the points that are given.

We can just take 2 points and use slope formula and Slope-Intercept Form to find the equation for the best line of fit.

Using Linear Regression, we can determine the <em>true</em> best line of fit using graphing utilities.

<u>Finding the best line of fit</u>

<em>Define 2 points</em>

Point (21600, 205)

Point (27000, 290)

<em>Find slope m</em>

  1. Substitute in point [SF]:                    \displaystyle m=\frac{290-205}{27000-21600}
  2. [Fraction] Subtract:                           \displaystyle m=\frac{85}{5400}
  3. [Fraction] Simplify:                            \displaystyle m=\frac{17}{1080}

<em>Find equation</em>

  1. Define equation [SIF]:                        \displaystyle y = \frac{17}{1080}x + b
  2. Substitute in point:                            \displaystyle 290 = \frac{17}{1080}(27000) + b
  3. Multiply:                                             \displaystyle 290 = 425 + b
  4. Isolate y-intercept <em>b</em>:                         \displaystyle -135 = b
  5. Rewrite:                                             \displaystyle b = -135
  6. Redefine equation:                           \displaystyle y = \frac{17}{1080}x - 135

Slope-Intercept Form tells us that our slope <em>m</em> = \displaystyle \frac{17}{1080} and our y-intercept \displaystyle b = -135.

Setting this as function f(x), we can see from the graph that it is extremely accurate (Blue line).

<u>Using Linear Regression</u>

Depending on the graphing calc you have, the steps may be different.

Using a graphing calc, we can use statistics and determine the <em>best</em> best line of fit.

When we determine the values, we should see that our equation would be g(x) (Green Line).

<em>Credit to Lauren for collabing w/ me in graphing.</em>

6 0
3 years ago
how do you work out the volume of a prism the number on the left is 6,the number on the bottom is 3 and the number on the right
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Step-by-step explanation:

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steposvetlana [31]

The answer is 95.

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Second: you would find the area of the square. Squares have perfect sides so you would multiply 5x5.

Last: take the sums of both equations. So the it would be 120-25=95.

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Answer:

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