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EastWind [94]
2 years ago
8

How are functions related to solving linear equations

Mathematics
1 answer:
motikmotik2 years ago
8 0

A linear function is a function with the form f(x) = ax' + b. It looks like a regular linear equation, but instead of using y, the linear function notation is f(x). To solve a linear function, you would be given the value of f(x) and be asked to find x.

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The sum of 12 and the quantity 8 times a number k is equal to 48
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The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points. A row o
maks197457 [2]

Answer:

1) 20 stars; 30 points.

2) 28 stars, 42 points.

3) 38 stars, 57 points.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let  be "x" the numbers of stars Roberto collects and "y" his total points.

The proportional relationship has this form:

y=kx

Where "k" is the constant of proportionality.

We can choose the point (8,12) from the table, where:

x=8\\y=12

Substituting these values into  y=kx and solving for "k", we get:

 12=k(8)\\\\\frac{12}{8}=k\\\\k=1.5

Knowing the value of "k", we determine that the  following Numbers of stars and the Total points could be used as the missing values in the table:

1) For x=20 :

y=(1.5)(20)=30

2) For x=28 :

y=(1.5)(28)=42

3) For x=38 :

y=(1.5)(38)=57

4 0
3 years ago
Read 2 more answers
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