Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
Answer: 21
Step-by-step explanation:
The reason why it's 21 because when you divide 126/6 you get a whole number instead of a mixed number.
The question is asking how much time Susan spent moving toward her office. On the graph, the y-axis represents the distance Susan is from her office, so the amount of time she is moving toward her office is the amount of time the graph is going down.
As you can see, the graph is going down from the 10 to 16 minute marks and the 22 to 26 minute marks. In total, this is 20 minutes in which the graph is going down.
Therefore, Susan spends 20 minutes moving toward her office.
Answer:
flour per cup of sugar=2 1/2 cups of flour
sugar per cup of flour=2/5 cups of sugar
Step-by-step explanation:
