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laila [671]
3 years ago
12

Nick and his family traveled by train to New York City. The clocks show when the train left the station and when it arrived in N

ew York City. How long was the train ride?
Mathematics
1 answer:
kirill [66]3 years ago
5 0

Answer:

Answer: 4 hr 15 min is the right answer

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Find (f • g) when f(x) = x^2 + 5x + 6 and g(x) = 1/x+3
Nikitich [7]

Answer:

option D

Step-by-step explanation:

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

g(x)= \frac{1}{x+3}

(fog)(x) = f(g(x))

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x  in f(x)

f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6

To simplify it we take LCD

LCD is (x+3)(x+3)

\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}

\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}

All the denominators are same so we combine the numerators

\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}

\frac{6x^2+41x+70}{x^2+6x+9}

Option D is correct

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3 years ago
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Antonina needs to have worked at least 909090 volunteer hours to graduate. She has already volunteered with a housing organizati
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An inequality can be formed by simply translating the problem statement to numerical expressions.

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The inequality above best models the situation.
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Justin used 3/4 of a gallon of paint on 3/4 of a wall. How many gallons does he need for one wall?
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Answer:

Step-by-step explanation:

1/4

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Select all ratios equivalent to 7:12.<br> 3:36, 49:84, 20:21, 10:30
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49:84 is the only one
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