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AlekseyPX
3 years ago
10

Nicholas read a total of 20 books over 4 months. If Nicholas has read 45 books so far, how many months has he been with his book

club? Assume the relationship is directly proportional.
Mathematics
2 answers:
Alborosie3 years ago
4 0

Answer:

5 months

Step-by-step explanation:

ayeeee

rodikova [14]3 years ago
3 0

Answer:

5 months

Step-by-step explanation:

45-20=25

25/5=5

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The linear equation that best fits the data is: y = 10x + 15.

<h3>How to Write the Linear Equation of a Data?</h3>

First, find the slope/unit rate (m) and the y-intercept/starting value, then substitute the values into y = mx + b.

Using two points on the graph, (1, 25) and (2, 35), find the slope (m):

Slope (m) = (35 - 25)/(2 - 1)

Slope (m) = 10/1

Slope (m) = 10

Substitute (x, y) = (1, 25) and m = 10 into y = mx + b to find b

25 = 10(1) + b

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Substitute m = 10 and b = 15 into y = mx + b

y = 10x + 15

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Inequalities are used to show the relationship between unequal expressions

  • <em>The set notation of (5) and (6) are: </em>\{x : -6 > x \ge -2\}<em> and </em>\{x:-4 < x \ge 6\}<em>.</em>
  • <em>See attachmen</em>t for the graphs

The following should be notated when plotting the graph of an inequality

  • < and > are represented with open circles, while \leq and \geq are represented with closed circles
  • The arrows of and \le point to the left, while the arrows of > and \geq point to the right.

So, we have:

(a)\ -8 < x

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The graph of x > -8 will point to the right, and it will use an open circle

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Split the inequality:

-6 > x and x \ge -2

<em>It is not possible for -6 to be less than x and at the same time, x is greater than or equal to -2.</em>

<em />

Hence. -6 > x \ge -2 cannot be represented on a graph

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Split the inequality:

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If x > -4 and x \ge 6, then we make use of x > -4 because it contains more values of x.

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Answer:

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Step-by-step explanation:

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