Answer:
x ≈ - 9.41, x ≈ - 6.59
Step-by-step explanation:
Given
x² + 16x + 62 = 0 ( subtract 62 from both sides )
x² + 16x = - 62
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(8)x + 64 = - 62 + 64
(x + 8)² = 2 ( take the square root of both sides )
x + 8 = ± ( subtract 8 from both sides )
x = - 8 ±
Hence
x = - 8 - ≈ - 9.41
x = - 8 + ≈ - 6.59
Answer:
(a) and (f)
Step-by-step explanation:
Given
See attachment for table and options
First, we calculate the slope of the table
Using:
So, we have:
The equation is then calculated using:
This gives:
So, we have:
--- The given equation
and
--- The equation of the table
An equation is represented as:
Where:
m = slope or rate of change
b = y intercept
So, for the given equation:
Rate of change = 5
y intercept = 12
For the table:
Rate of change = 12
y intercept = 5
In conclusion:
(a) has the greater rate of change:
and
(f) has the greater y intercept
