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BaLLatris [955]
3 years ago
6

Today, Isaac needs to walk his dog, water the garden, and feed his fish. D is the number of minutes it takes

Mathematics
2 answers:
enot [183]3 years ago
8 0

Answer:

The total minutes of the inside tasks: F

The total minutes of the outside tasks: G + D

The total minutes of the tasks involving animals: D + F

The total minutes of the tasks <em>not</em> involving animals: G

Step-by-step explanation:

For reference:

  1. D is the number of minutes it takes to walk his dog
  2. G is the number of minutes it takes to water the garden
  3. F is the number of minutes it takes to feed his fish.

Inside task(s): feeing fish

Outside task(s): Watering garden and walking dog

Task(s) involving animals: Walking dog and feeding fish

Task(s) <em>not</em> involving animals: Watering garden

The above is basically our answer. We now need to put it in terms of F, G, and D (This will be in the same order as the above):

  1. F
  2. G and D
  3. D and F
  4. G

Now, if you look at the very top with answer, you will see it's the same letters as what we just did. I hope this helps!

MrMuchimi3 years ago
5 0

Answer:

  1. The total Minutes of the tasks involving animals.-D+F (Dog and fish)
  2. The total Minutes of the tasks not involving animals.-G (Garden)
  3. The total Minutes of the Inside tasks.-F (Fish)
  4. The total Minutes of the Outside tasks.-G+D (Garden and Dog)

Step-by-step explanation:

Given that:

  • D = number of minutes it takes to walk his dog
  • G = number of minutes it takes to water the garden; and
  • F = number of minutes it takes to feed his fish

We want to match the given situations to its respective expressions:

Situation

  1. The total Minutes of the Inside tasks.
  2. The total Minutes of the Outside tasks.
  3. The total Minutes of the tasks involving animals.
  4. The total Minutes of the tasks not involving animals.

Expression

  1. D+F
  2. G+D
  3. G
  4. F

The match of the situation and respective expressions are:

  1. The total Minutes of the tasks involving animals.-D+F (Dog and fish)
  2. The total Minutes of the tasks not involving animals.-G (Garden)
  3. The total Minutes of the Inside tasks.-F (Fish)
  4. The total Minutes of the Outside tasks.-G+D (Garden and Dog)
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Step-by-step explanation:

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If f(x)=8-10x and g(x) =5x +4, what is the value of (fog)(-2)?
swat32

Answer:

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Step-by-step explanation:

Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.

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<h3>f∘g</h3>

The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.

Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.

<h3>g(-2)</h3>

To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...

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<h3>f(g(-2))</h3>

Now that we know g(-2) = -6, we know this expression is ...

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Then the value we're looking for is ...

  (f∘g)(-2) = 68

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