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alexandr402 [8]
3 years ago
15

13. It takes Seymore, a slimy slug, 20 minutes to travel from his favorite bush to the local trash can (a distance of 30 meters)

, how far can he travel in 1 hour (60 minutes)?
Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

90 meters

Step-by-step explanation:

From the question we are to calculate the distance that the slug can move in 60 minutes.

From the question, we know that:

20 minutes = 30 meters

60 minutes = x meters

Cross Multiply

20 minutes × x meters = 30 meters × 60 minutes

x meters = 30 meters × 60 minutes/20 minutes

x meters = 90 meters

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One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
Natalka [10]

Answer:

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Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

x = - 5

x = 5

The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

f(10) = 1000 + 1000 - 250 - 250

f(10) = 2000 - 500

f(10) = 1500 which is  not 0.

==================

f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

f(1) = 1 + 10 - 25 - 250

f(1) = -264 which again is not zero

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