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patriot [66]
3 years ago
5

Let g(x)=x-3 and h(x)=x^2+6 find (h o g) (1)

Mathematics
2 answers:
cupoosta [38]3 years ago
5 0
g(x)=x-3 \ \ \ and\ \ \  h(x)=x^2+6 \\\\(h \circ  g) (1)=h\bigg (g(1)\bigg)=h\bigg(1-3\bigg)=h(-2)=(-2)^2+6=4+6=10
Rudiy273 years ago
5 0
h \circ g=(x-3)^2+6=x^2-6x+9+6=x^2-6x+15
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The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased
taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

19.1331927775=t\\\\t=19.1331927775

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

1990+20=2010

Therefore, 900 million passengers would travel by airline in 2010.

6 0
3 years ago
A swimming pool contains 1000 gallons of water. 20 gallons is added every hour. The expression 1000 + 20h represents the number
nadya68 [22]

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8 0
3 years ago
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Answer:

a or b

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