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sveta [45]
3 years ago
9

If f(x)=x+3 and g(x)= x^2 -4 find the expression for g(f(x))

Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0

Answer:g(f(x))= x^2 +6x+5

Step-by-step explanation:

g(f(x))= x^2 -4

g(f(x))= (x+3)^2 -4

g(f(x))= (x+3)(x+3) -4

g(f(x))= x^2 +6x+9-4

g(f(x))= x^2 +6x+5

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2 trains leave the same station at the same time but opposite directions.One train travels at 70mph and the other travels at 80m
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Carl and Bob can demolish a building in 6 days, Anne and Bob can do it in 3, Anne and Carl in 5. How many days does it take all
nata0808 [166]

Answer:

  • 59/20 days or 2.95  days

Step-by-step explanation:

Let Carl do the job in c days, Anne- in a, and Bob in b days

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<u>As per given we have below equations:</u>

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<u>Sum of all 3 equations gives us:</u>

  • 2(1/a + 1/b + 1/c) = 1/6 + 1/3 + 1/5
  • 2(1/a + 1/b + 1/c) = 5/30 + 10/30 + 6/30
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It means all three together can complete 7/20 of the job in one day

<u>The rest of the job is done by Anne and Bob:</u>

  • 1 - 7/20 = 13/20

<u>As Anne and Bob can do 1/3 of the job in one day, they need time to complete the rest:</u>

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<u>Add 1 day to this to find overall time:</u>

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4 0
3 years ago
Calculate the GPA of a student with the following grades: B (1616 hours), D (77 hours), C (2121 hours). Note that an A is equiva
adell [148]

Answer:

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Step-by-step explanation:

The GPA is the weighted average of the grade points. The weights are the number of course hours.

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  = 97/44 ≈2.20 . . . . GPA

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3 years ago
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