Hey there! In this problem, the solutions, both real and imaginary are provided. We have to work backwards to create a polynomial function which matches these solutions:
f(x) = (x - 6), (x + [5 + 2i]), (x + [5 - 2i])
Create a difference of squares,
f(x) = (x - 6), ([x + 5] + 2i), ([x + 5] - 2i)
f(x) = (x - 6), ([x + 5]^2 + 4)
[(x + 5)(x + 5)] + 4
x^2 + 5x + 5x + 25 + 4
x^2 + 10x + 29
f(x) = (x-6), (x^2 + 10x + 29)
f(x) = x^3 + 10x^2 + 29x - 6x^2 - 60x - 174
Combine like terms,
f(x) = x^3 + 4x^2 + 29x - 174
There we have our answer, a polynomial of degree 3.
Answer:
Just match values.
At 1 hour you have 60 degrees
At 2 hour 65
At 3 70 degrees
At 4 75 degrees
As You can see the temperature varies by 5 degrees
Answer:
It might be 6
Step-by-step explanation:
Answer:
perpendicular
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x = y - 5 ( add 5 to both sides )
3x + 5 = y ← in slope- intercept form
with slope m = 3
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9y + 4x = x - 9 ( subtract 4x from both sides )
9y = - 3x - 9 ( divide all terms by 9 )
y = - x - 1 ← in slope- intercept form
with slope m = -
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Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
Thus
the slopes are not equal, thus not parallel lines.
3 × - = - 1 , hence lines are perpendicular