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3 years ago

Explain how to write a function rule from table below. Then write function rule.

Mathematics

2 answers:

marusya05 [52]3 years ago

7 0

Answer:

y = (-1/2)x + 2.

Step-by-step explanation:

Leokris [45]3 years ago

3 0

Answer:

The linear equation describing the given table is y = (-1/2)x + 2.

Step-by-step explanation:

Let's assume that this is a linear function.

As we go from x = 2 to x = 4, (an increase of 2), y goes from 1 to 0 (a decrease of -1). Thus, the slope of the line is m = rise / run = -1/2.

Borrowing info from the table: when x = 4, y = 0.

Thus, y = mx + b becomes 0 = (-1/2)(4) + b, so that b = 2.

The linear equation describing the given table is y = (-1/2)x + 2.

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Each of the sides of a pentagon is 12 cm long. Two ants are walking from point A to point D along the sides of the pentagon. One

AVprozaik [17]

Answer:

The average speed of the second ant is 2 cm/s

Step-by-step explanation:

The details of the ants moving on the sides of the pentagon are;

The length of the sides of the pentagon = 12 cm

The path of the first ant = A to B, B to C, then C to D

The average speed of the first ant = 3 cm/s

The path of the second ant = A to E, and E to D

The time of arrival of the second ant at the point D = The time of arrival of the first ant at the point D

Given that both ants departed at the same time, from point A, we have;

The time it takes the first ant to arrive at the point D = The time it took the second ant to arrive at the point D

The distance from A to B = 12 cm

The distance from B to C = 12 cm

The distance from C to D = 12 cm

∴ The distance traveled by the first ant from A to D = 12 cm + 12 cm 12 cm = 36 cm

Average speed = (Total distance)/(Total Time)

Total time = (Total distance)/(Average speed)

Let 't' represent the time it takes the first ant to move from point A to point D, we have;

t = 36 cm/(3 cm/s) = 12 seconds

Therefore, the time it takes the first ant to move from point A to point D, t = 12 seconds = The time it takes the second ant to move from point A to point D through point E

The total distance traveled by the second ant from A to point E, then from point E to point D, $T_{d2}$ = 12 cm + 12 cm = 24 cm

The average speed of the second ant, v₂ = $T_{d2}$ /t

∴ v₂ = 24 cm/(12 seconds) = 2 cm/s

The average speed of the second ant, v₂ = 2 cm/s.

8 0

3 years ago

Sammie bought just enough fencing to border either a rectangular plot or a square plot, as shown. The perimeters of the plots ar

Gekata [30.6K]

Perimeter of square : p = 4a.....
p = 4(x + 2)
p = 4x + 8

perimeter of rectangle : p = 2(L + W)
p = 2(3x + 2 + x - 1)
p = 2(4x + 1)
p = 8x + 2

so if the perimeters are te same, lets set them equal to each other and solve for x

4x + 8 = 8x + 2
8 - 2 = 8x - 4x
6 = 4x
6/4 = x
1.5 = x

the square : p = 4x + 8.....p = 4(1.5) + 8.....p = 14 meters
the rectangle : p = 8x + 2....p = 8(1.5) + 2.....p = 14 meters

so she bought 14 meters of fencing <==

8 0

4 years ago

Breanna thought of a number, added 6 to it, multiplied it by 6, subtracted 6 from her answer, and then divided it by 6. She got

ss7ja [257]

Answer:5

Step-by-step explanation:

If you look at the question in reverse you can backtrack your way through. Take 10 and instead of dividing, multiply it by 10, which is 60, add 6 instead of subtracting, which is 66, divide by 6 instead of multiplying, which is 11 and finally subtract 6 instead of adding, which is 5. Use five and try the question over to make sure you calculated correct.

8 0

3 years ago

Mack rolled two number cubes. What is the probability that the sum of the numbers Mack rolled is either 6 or 8?

vodomira [7]

4/36 im thinking. not sure though

4 0

4 years ago

Please find the area of each figure.

salantis [7]

Answer:

The first answer is 3456

Step-by-step explanation:

Area=L*W

First shape~ 36*36=1296

Second shape~ 36*60=2160

1296+2160=3456

8 0

3 years ago

Read 2 more answers