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Andrei [34K]
2 years ago
7

Write the rule for the linear function. Remember a function rule is written using f(x)

Mathematics
1 answer:
Marina CMI [18]2 years ago
4 0

Answer:

The rule for the linear function will be:

f(x) = -2x+5

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points from the table to determine the slope

  • (1, 3)
  • (2, 1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)

m=\frac{1-3}{2-1}

m=-2

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (1, 3)

y-y_1=m\left(x-x_1\right)

y - 3 = -2 (x-1)

y-3 = -2x+2

adding 3 to both sides

y-3+3 = -2x+2+3

y = -2x+5

or

f(x) = -2x+5

Therefore, the rule for the linear function will be:

f(x) = -2x+5

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Alina [70]
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2 years ago
What is the solution to the equation?<br> 3 + V3x – 5= x
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Answer: (D) 7

Step-by-step explanation:

8 0
2 years ago
This net will be folded to form a prism.
allsm [11]

The opposite faces are D and F, A and C, and B and E. Then the correct options are A, B, and E.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

This net will be folded to form a prism.

A net of a rectangular prism.

From top to bottom, the rectangles are labeled B, D, E, and F.

The left side is labeled A and the right side is labeled C.

Then the pairs of faces will be opposite one another when the prism is created will be

BD, DE, EF, FB, AD, DC, CF, FA, AB, BC, BE, and EA all are the adjacent side faces.

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brainly.com/question/7558603

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7 0
2 years ago
Mr. Rodriguez bought 6 liters of diet soda. His two sons will drink the same amount each day and finish the diet soda in 4 days.
iVinArrow [24]

Answer:

6÷3÷4= 0.75

Step-by-step explanation:

Each son will drink 0.75 liters of soda everyday to finish 6 liters of the soda in 4 days

7 0
3 years ago
Read 2 more answers
A salesman travelled 2/5 of his journey before lunch and 3/8 of his journey after lunch.
AysviL [449]
2/5+3/8= 31/40 therefore he still has 9/40 to go.
to get this you multiply the two denominators together
5x8=40 which is your denominator
then you cross multiply the two numerators
2x8=16
3x5=15
to get the final
15/40+16/40=31/40
and you are left with 9/40
7 0
3 years ago
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