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Pepsi [2]
2 years ago
6

Write the rule for the table, use x for the input.

Mathematics
1 answer:
Temka [501]2 years ago
7 0

The linear function that gives the rule for the table is: y = -8x + 2.

<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.

In this problem, when x = 0, y = 2, hence the y-intercept is of b = 2. When x increases by 1, y decreases by -8, hence the slope is of m = -8, and the rule is given by:

y = -8x + 2.

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

#SPJ1

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If the line passes through the points A(x_1,y_1) and B(x_2,y_2), then the slope of the line can be determined as

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

Then the equation of the line is

y=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)+y_1.

Answer: correct choice is B

4 0
3 years ago
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The candy shop puts 10 ounces of gummy bears in each box. How many
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Hi! You need 3 boxes because if you divide 21 1/4 / 10 you get 2 1/8 or 2.125 so you at least have two boxes. You will still have some left over after the two boxes so you will need another box for those. I hope this helped, Goodluck :)
3 0
3 years ago
Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books
Oksi-84 [34.3K]

Answer:  The correct option is (A) 120-3w=24;~32.

Step-by-step explanation:  Given that Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read.

We are to find the equation that can be used to determine the number of weeks it will take Raymond to have only 24 books left.

Also, we are to find the number of weeks.

The number of weeks  it will take Raymond to have only 24 books left is represented by 'w'.

We have

number of books read by Raymond is 1 week = 3.

So, number of books read by Raymond is w weeks = 3w.

Since, there are total 120 books on his bookshelf, so the number of books left to read after w weeks will be

120-3w.

According to the given information, we get

120-3w=24\\\\\Rightarrow 3w=120-24\\\\\Rightarrow 3w=96\\\\\Rightarrow w=32.

thus, the required equation is 120-3w=24 and number of weeks is 32.

Option (A) is correct.

8 0
3 years ago
The black graph is the graph of y=f(x). Choose the equation for the red graph.<br> Please Help me!!
katen-ka-za [31]

Answer:

c

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The red graph is the black graph translated vertically by 1 unit

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) + 1

Note

y - 1 = f(x) ← add 1 to both sides

y = f(x) + 1 ← as required

The equation of the red graph is

y - 1 = f(x) → c

4 0
3 years ago
Glenna says that the height of her house is 1 yard is her claim reasonable
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