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When it says f(4) that means x=4
So you then just fill in all the x’s with 4’s and solve as normal
Answer:
Dont get it either im stuck on it
Step-by-step explanation:
Answer:
Option B
Step-by-step explanation:
Complex roots occur as conjugate pairs so the third root is -3 - i ( note that the sign changes from + to -).
So in factor form we have:-
(x - 2)(x - (-3 + i))(x - (-3 - i)) = 0 Let's expand the last 2 factors first:-
(x - (-3 + i))(x - (-3 - i))
= (x + 3 - i)(x + 3 + i)
= x^2 + 3x +ix + 3x + 9 + 3i - ix - 3i - i^2
= x^2 + 6x + 9 - (-1)
= x^2 + 6x + 10
Now multiplying by (x - 2):-
(x - 2)(x^2 + 6x + 10) = 0
x^3 + 6x^2 + 10x - 2x^2 - 12x - 20 = 0
x^3 + 4x^2 - 2x - 20 = 0 (answer)
Option B
Answer:
10 rabbits
Step-by-step explanation:
Let us represent
Number of rabbits = x
Number of squirrels = y
Number of deer = z
Katniss caught three times as many squirrels as deer.
y = 3z
She also caught five less rabbits than squirrels.
y = x - 5
The total number of animals she caught is ten more than four times the number of deer caught.
x + y + z = 4 × z + 10
x + y + z = 4z + 10
How many rabbits did Katniss catch?
Number of rabbits = x
We make x subject of the formula
x + y + z = 4z + 10
x = 4z + 10 - y - z
y = 3z
x = 4z + 10 - 3z - z
x = 4z - z - 3z + 10
x = 4z - 4z + 10
x = 0 + 10
x = 10
Therefore, the number of rabbits Katniss caught is 10 rabbits
