How many x-intercepts appear on the graph of this polynomial function? f (x) = x Superscript 4 Baseline minus 5 x squared 1 x-in
tercept 2 x-intercepts 3 x-intercepts 4 x-intercepts
2 answers:
Answer:
Step-by-step explanation:
Given that,
F(x) = x⁴-5x²
The x-intercept of this function occurs at f(x) = 0
Therefore,
x⁴-5x² = 0
x²(x²-5) = 0
x² = 0 OR x²-5 = 0
x = 0 twice or x² = 5
x = 0 twice or x = ±√5
So the solution to this equation is
x = 0 twice, x = √5 of x = -√5
Then, the intercept (x, y) are
(0,0) so this will only occur once
(-√5, 0)
(√5,0)
So the function has 3 x intercept which are 0,√5 and -√5
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Answer:
In every 42 days, Sherman and Brad will go golfing on the same day.
Step-by-step explanation:
Given:
Sherman goes golfing every 6th day.
Brad goes golfing every 7th day.
If they both went golfing today, we need to determine how many days unit they will go golfing on the same day again.
Solution:
In order to determine how many days unit Sherman and Brad will go golfing on the same day again, we will take least common multiple of 6 and 7.
To find least common multiple of 6 and 7, we will list out their multiples.
We find out that the least common multiple of 6 and 7 =42.
Thus, we can conclude that Sherman and Brad will go golfing on same days on every 42nd day after they meet..