Question

A function is shown f(x)=10-4x what is the value of f(-2)

Answer 1

The table represents some points on the graph of a linear function
X y
-2 -11
2 -17
4 -20
Y=-3/2x+4
Y=-3/2x-14
Y=-2/3x-9
Y=-2/3x-1

Answer 2

What's the table I showed u

Answer 3

#23.
A construction worker built steps up to a home. The table shows the linear relationship between the height off the ground in inches and the number of steps.

Number of Steps
Height (inches)
3
20
5
36
7
52
9
68
11
84
What is the rate of change of height off the ground with respect to the number of steps?


8in. per step

16in. per step

1
8​in. per step

1
16​in. per step

Answer 4

Show me the table

Answer 5

So what's the answer

Answer 6

To find the value of f(-2), we need to substitute -2 into the function f(x).
f(-2) = 10 - 4(-2)

Simplifying, we have:
f(-2) = 10 + 8

Therefore, f(-2) = 18.

Answer 7

To determine which equation represents the table of points, we can substitute the given x and y values into each equation and see which equation yields the corresponding y-value.

For equation Y = -3/2x + 4:
For x = -2, we have:
Y = (-3/2)(-2) + 4
Y = 3 + 4
Y = 7

For x = 2, we have:
Y = (-3/2)(2) + 4
Y = -3 + 4
Y = 1

For x = 4, we have:
Y = (-3/2)(4) + 4
Y = -6 + 4
Y = -2

Since the y-values in the table are not -11, -17, -20, the equation Y = -3/2x + 4 does not represent the table.

For equation Y = -3/2x - 14:
For x = -2, we have:
Y = (-3/2)(-2) - 14
Y = 3 - 14
Y = -11

For x = 2, we have:
Y = (-3/2)(2) - 14
Y = -3 - 14
Y = -17

For x = 4, we have:
Y = (-3/2)(4) - 14
Y = -6 - 14
Y = -20

Since the y-values in the table are -11, -17, -20, the equation Y = -3/2x - 14 represents the table.

Answer 8

Apologies for the confusion. The table you provided is:

X Y
-2 -11
2 -17
4 -20

Using the table, we can determine the equation that represents the points. Let's substitute the x-values into each equation and compare the resulting y-values:

For equation Y = -3/2x + 4:
For x = -2:
Y = (-3/2)(-2) + 4
Y = 3 + 4
Y = 7

For x = 2:
Y = (-3/2)(2) + 4
Y = -3 + 4
Y = 1

For x = 4:
Y = (-3/2)(4) + 4
Y = -6 + 4
Y = -2

Comparing the resulting y-values with the table you provided, we can see that the equation Y = -3/2x + 4 does not match the given table.

For equation Y = -3/2x - 14:
For x = -2:
Y = (-3/2)(-2) - 14
Y = 3 - 14
Y = -11

For x = 2:
Y = (-3/2)(2) - 14
Y = -3 - 14
Y = -17

For x = 4:
Y = (-3/2)(4) - 14
Y = -6 - 14
Y = -20

The y-values obtained from the equation Y = -3/2x - 14 match the given table, confirming that Y = -3/2x - 14 represents the table you provided.

Answer 9

To find the rate of change of height off the ground with respect to the number of steps, we need to determine the change in height divided by the change in the number of steps.

From the given table, we can see that the change in height is 68 inches (start height of 3 inches and end height of 84 inches) and the change in the number of steps is 4 steps (start steps of 3 and end steps of 11).

Therefore, the rate of change of height off the ground with respect to the number of steps is:
68 inches / 4 steps = 17 inches per step.

So, the correct answer is 17 inches per step.

Answer 10

Apologies for the confusion. Here is the corrected table:

Number of Steps Height (inches)
3 20
5 36
7 52
9 68
11 84

Please note that in the given table, only the heights corresponding to each number of steps are provided.

Answer 11

Apologies for the previous response. Let's calculate the rate of change of height off the ground with respect to the number of steps using the corrected table:

Number of Steps Height (inches)
3 20
5 36
7 52
9 68
11 84

To find the rate of change, we need to find the change in height divided by the change in the number of steps.

Change in height = 84 - 20 = 64 inches
Change in number of steps = 11 - 3 = 8 steps

Rate of change = Change in height / Change in number of steps = 64 inches / 8 steps = 8 inches per step

Therefore, the rate of change of height off the ground with respect to the number of steps is 8 inches per step.