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ollegr [7]
2 years ago
5

What table represents a linear function

Mathematics
1 answer:
Vanyuwa [196]2 years ago
6 0

Considering the constant rate of change, it is found that table 1 represents a linear function.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the concept of the slope, we have that the rate of change of a linear function is constant, that is, when x changes by 1, y has to change always by the same amount, which happens in table 1, with a constant rate of change of 1/2 = 0.5.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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Answer:

<h2>neither</h2>

Step-by-step explanation:

If AB an CD are parallel, then their slopes are the same.

If AB and CD are perpendicular, then the product of their slopes is equal -1.

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

Calculate the both slope:

A(4,\ 2),\ B(-3,\ 1)\\\\m_{AB}=\dfrac{1-2}{-3-4}=\dfrac{-1}{-7}=\dfrac{1}{7}\\\\C(6,\ 0),\ D(-10,\ 8)\\\\m_{CD}=\dfrac{8-0}{-10-6}=\dfrac{8}{-16}=-\dfrac{1}{2}\\\\=============================

m_{AB}\neq m_{CD}

The line AB and line CD are not parallel

m_{AB}\cdot m_{CD}=\left(\dfrac{1}{7}\right)\left(-\dfrac{1}{2}\right)=-\dfrac{1}{14}\neq-1

The line AB and line CD are not perpendicular.

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Find the slope and y-intercept in the equation.<br> 2x+4y=9
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To convert, isolate the y and the rest should fall into place. Subtract 2x from 4y and the other side of the equation to get the equation 4y= -2x+9 (put the x first because of mx+b). Then Divide the 4 from y and do the same to the other side to get y= -1/2x+9/4. M= -1/2 so that is the slope. B=9/4 so that is the y intercept
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<span>Scientific notation is the way that scientists easily handle very large numbers or very small numbers. Scientific notation is written by writting a decimal number between 1 and 10 together with an exponent of 10.

Given
(4.23\times10^{12})\div(9.0\times10^6)

First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have
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Because, scientific notation requires that the decimal number part be a number between 1 and 10, we move the decimal point 1 place foward and subtract 1 from the exponent of 10.

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