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Mariana [72]
2 years ago
13

Question: Tell whether each function is linear or non-linear.

Mathematics
1 answer:
grandymaker [24]2 years ago
5 0

Just to avoid some confusion: <u>the first picture is a graph of function A, and the second picture is a graph of function B. </u>

Answer:

D. Function A is non-linear and Function B is linear.

Step-by-step explanation:

A good way to find out if a function is linear is by graphing it. If you graph it and it is a straight line, then it is linear.

So, let's graph the given points from the table of Function A and see if it forms a straight line. When you connect the dots, it's not straight, so Function A is non-linear.

Now let's look at function B. We can graph that too with the given information from the equation - the slope is -1 and the y-intercept is 5. (If you are a bit confused on how to graph it, don't hesitate to ask!) It does form a straight line, so Function B is linear.

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The sum of two consecutive positive even integers is at most 14. List all possible pairs of integers.
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Let X be the first number
there is a 2 numbers distance between each even number eg.2 ,4, 6, 8, etc.
So the 2nd number is X+2
The sum of the 1st and 2nd numbers = 14
X + X+2 =14
2X +2 =14
2X = 14-2
2X = 12
X = 12/2
X = 6
Therefore,
The first number i.e, X = 6
And the second number i.e, X+2 = 6+2 =8
******************************************************************************
This is the only positive pair in case of two consecutive numbers if the are even numbers but not consecutive there will be more pairs
12 + 2 = 14
10 + 4 = 14
8 + 6 = 14 (Already found)
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