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White raven [17]
2 years ago
10

Which of the following functions best fits the data shown in the scatterplot below? y=100x+2y is equal to 100 x plus 2 y=20x2+10

y is equal to 20 x squared plus 10 y=4x+8y is equal to 4 to the x th power plus 8 y=2x+5y is equal to 2 to the x th power plus 5
Mathematics
1 answer:
KengaRu [80]2 years ago
4 0

The equation of the scatter plot is (a) y = 100x + 2

<h3>How to determine the equation of the scatterplot?</h3>

The line of best fit of the scatter plot passes through the points

(x,y) = (0,2) and (1,102)

Start by calculating the slope using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

m = \frac{102 - 2}{1 - 0}

m = 100

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 100(x -0) + 2

Evaluate

y = 100x + 2

Hence, the equation of the scatter plot is (a) y = 100x + 2

Read more about scatter plot at:

brainly.com/question/6592115

#SPJ1

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Answer:

  • 0, 3, 8, 15, 24
  • y = x² + 2x

Step-by-step explanation:

<u>The pattern is</u>

  • Step 1  ⇒ 1*3 = 3
  • Step 2 ⇒ 2*4 = 8
  • Step 3 ⇒ 3*5 = 15

<u>Next step would be</u>

  • Step 4 ⇒ 4*6 = 24

<u>Step zero would be</u>

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<u>The equation</u>

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Discussion for Applications of Linear Systems
Lostsunrise [7]

Step-by-step explanation:

There are certain methods for solving a system of equations. Some of which are:

  • Substitution Method
  • Elimination Method
  • Graphing Method

<em>Substitution Method</em>

Substitution method to solve a system of equations is suitable if a variable of a any equation seems isolated or could comfortably be isolated without any ration/fraction resulting.

For example, for the following system of equations

x - 2y = 11....[A]

x = 5 - y....[B]

substituting the value of x = 5 - y from equation [B] into equation [A], so that

(5 - y) - 2y = 11

5 - y - 2y = 11

3y = -6

y = -2

<em>Elimination Method</em>

Elimination method to solve a system of equations is suitable if both equation are in standard form, and just adding or subtracting the equations to determine an equation in one variable.

For example, for the following system of equations

2x + 7y = -5....[C]

5x - 7y = 12....[D]

Adding Equation [C] and Equation [D].

7x + 0 = 7

x = 1

<em>Graphing Method</em>

Sometimes graphing method may be used to solve the system of the equation and visualize the solution.

For example,

y = -2....[E]

y = 3x + 1....[F]

The solution for this system of equation is the point of intersection of both the lines, which is shown in attached figure. The point of intersection is (-1, -2).

Hence, the solution of this system of equations is (-1, -2), as shown in attached figure.

<em>Keywords: system of equations, elimination method, substitution method, graphing method</em>

<em>Learn more about solution of system of equations from brainly.com/question/2643311</em>

<em>#learnwithBrainly</em>

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