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8090 [49]
2 years ago
5

Which statements about the local maximums and minimums for the given function are true? Choose three options.

Mathematics
1 answer:
Nataliya [291]2 years ago
5 0

The statements about the local maximums and minimums for the given function which are true include:

  • Over the interval [2, 4], the local minimum is –8.
  • Over the interval [3, 5], the local minimum is –8.
  • Over the interval [1, 4], the local maximum is 0.

<h3>What is Function?</h3>

This is defined as the mathematical entities which assign unique outputs to given inputs and defines a relationship between the two variables.

According the the graph: over the interval [2, 4], the local minimum is –8 because the given minimum point is (3.4, -8) and over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0 and over the interval [3, 5], there is no maximum point hence why it is false.

Read more about Maximum and minimum point here brainly.com/question/4175575

#SPJ1

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Answer: 156.25

Step-by-step explanation:

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Artemon [7]

Answer:

  • 1) y = 13.5x + 1
  • 2) y = 12x + 4
  • 3) Sam won the race

Step-by-step explanation:

<h3>Part 1</h3>

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

<u>The distance after x seconds is:</u>

  • y = 13.5x + 1
<h3>Part 2</h3>

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

<u>The distance after x seconds is:</u>

  • y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>

<u>After 15 seconds the distance from the start line is:</u>

  • Sam   ⇒ y = 13.5*15 + 1 = 203.5 ft
  • Alice  ⇒ y = 12*15 + 4 = 184 ft

As we see Sam is further from the start line than Alice

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Answer:

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Simplify (3+√5)(3+√2)
ANEK [815]

When we simplify (3 + √5)(3 + √2), the result obtained is:

9 + 3√2 + 3√5 + √10

<h3>Surd operation </h3>

a√b × c√d = (a × c)√(b × d)

<h3>How to simplify (3 + √5)(3 + √2)</h3>

(3 + √5)(3 + √2)

Expand by clearing the bracket

3(3 + √2) + √5(3 + √2)

9 + 3√2 + 3√5 + √10

Thus,

(3 + √5)(3 + √2) = 9 + 3√2 + 3√5 + √10

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