Use the equation y − 5 = x3
to fill in the missing values in the table below. (Type in numbers for your answers, do not spell the numbers out or it will count it wrong.)
x y
1
-3 4
0
6
8
x y
1 -4
-3 22
0 -5
6 181
8 513
To fill in the missing values in the table, we will substitute each value of x into the equation y - 5 = x^3 and solve for y.
1:
Substituting x = 1 into the equation, we have:
y - 5 = 1^3
y - 5 = 1
y = 1 + 5
y = 6
-3:
Substituting x = -3 into the equation, we have:
y - 5 = (-3)^3
y - 5 = -27
y = -27 + 5
y = -22
0:
Substituting x = 0 into the equation, we have:
y - 5 = 0^3
y - 5 = 0
y = 0 + 5
y = 5
6:
Substituting x = 6 into the equation, we have:
y - 5 = 6^3
y - 5 = 216
y = 216 + 5
y = 221
8:
Substituting x = 8 into the equation, we have:
y - 5 = 8^3
y - 5 = 512
y = 512 + 5
y = 517
Now the filled table will look like this:
x y
1 6
-3 -22
0 5
6 221
8 517
To fill in the missing values in the table, we can use the given equation y - 5 = x^3.
Let's solve for y by substituting the given x values into the equation and solving for y.
For x = 1:
y - 5 = (1)^3
y - 5 = 1
y = 1 + 5 = 6
So when x = 1, y = 6.
For x = -3:
y - 5 = (-3)^3
y - 5 = -27
y = -27 + 5 = -22
So when x = -3, y = -22.
For x = 0:
y - 5 = (0)^3
y - 5 = 0
y = 0 + 5 = 5
So when x = 0, y = 5.
For x = 6:
y - 5 = (6)^3
y - 5 = 216
y = 216 + 5 = 221
So when x = 6, y = 221.
For x = 8:
y - 5 = (8)^3
y - 5 = 512
y = 512 + 5 = 517
So when x = 8, y = 517.
Now we have filled in the missing values in the table:
x y
1 6
-3 -22
0 5
6 221
8 517