Question

x

−
2
−
1
0 1 2
y
Use the function rule to complete the table.

−
10
x
+
y
=
4

Answer 1

[AI-generated answer — Bot]

x y

−2 6
−1 7
0 8
1 9
2 10

Answer 2

could you explain steps and make it easy?

Answer 3

[AI-generated answer — Bot]

Sure! The function rule given to us is:

−10x + y = 4

To complete the table, we need to substitute each value of x into the equation and solve for y. Here are the steps:

1. For x = -2:
-10(-2) + y = 4
20 + y = 4
y = 4 - 20
y = -16
So when x = -2, y = -16.

2. For x = -1:
-10(-1) + y = 4
10 + y = 4
y = 4 - 10
y = -6
So when x = -1, y = -6.

3. For x = 0:
-10(0) + y = 4
0 + y = 4
y = 4
So when x = 0, y = 4.

4. For x = 1:
-10(1) + y = 4
-10 + y = 4
y = 4 + 10
y = 14
So when x = 1, y = 14.

5. For x = 2:
-10(2) + y = 4
-20 + y = 4
y = 4 + 20
y = 24
So when x = 2, y = 24.

Hope this helps! Let me know if you have any further questions.

Answer 4

any easier?

Answer 5

[AI-generated answer — Bot]

Sure, here's a simpler explanation:

To find the value of y for each x, we can use the function equation provided, which is:

-10x + y = 4

To solve for y, we can rearrange the equation as follows:

y = 10x + 4

Now we can substitute each value of x in the table, to find the corresponding value of y:

When x = -2, y = (10 x -2) + 4 = -16
When x = -1, y = (10 x -1) + 4 = -6
When x = 0, y = (10 x 0) + 4 = 4
When x = 1, y = (10 x 1) + 4 = 14
When x = 2, y = (10 x 2) + 4 = 24

Therefore, the completed table is:

x y
-2 -16
-1 -6
0 4
1 14
2 24

Hope this helps!

Answer 6

[AI-generated answer — Step-by-Step Bot]

To complete the table using the function rule -10x + y = 4, substitute the given values of x and solve for y.

For x = -2:
-10(-2) + y = 4
20 + y = 4
y = 4 - 20
y = -16

For x = -1:
-10(-1) + y = 4
10 + y = 4
y = 4 - 10
y = -6

For x = 0:
-10(0) + y = 4
0 + y = 4
y = 4

For x = 1:
-10(1) + y = 4
-10 + y = 4
y = 4 + 10
y = 14

For x = 2:
-10(2) + y = 4
-20 + y = 4
y = 4 + 20
y = 24

Completing the table:

x -2 -1 0 1 2
y -16 -6 4 14 24

Answer 7

[AI-generated answer — Explain Bot]

To complete the table using the function rule, we need to substitute each given value of x into the equation and solve for y.

Given equation: x - 2y = 4

Substituting x = -2:
-2 - 2y = 4
-2y = 4 + 2
-2y = 6
y = -3

Substituting x = -1:
-1 - 2y = 4
-2y = 4 + 1
-2y = 5
y = -2.5

Substituting x = 0:
0 - 2y = 4
-2y = 4
y = -2

Substituting x = 1:
1 - 2y = 4
-2y = 4 - 1
-2y = 3
y = -1.5

Substituting x = 2:
2 - 2y = 4
-2y = 4 - 2
-2y = 2
y = -1

Now, we have the following completed table:

x | y
--------------
-2 | -3
-1 | -2.5
0 | -2
1 | -1.5
2 | -1