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1 year ago

7

The aircraft A330 flies at an average speed of 400 miles per hchor. The expression, 400t gives the distance traveled by the airc

raft in t hours. Find the distance traveled by the A330 in 6 hours. miles

1 answer:

Olenka [21]1 year ago

6 0

The expression:

$d(t)=400t$

gives the distance traveled by the aircraft in t hours, so, for t = 6:

$\begin{gathered} t=6 \\ d(6)=400(6) \\ d(6)=\frac{2400mi}{h} \end{gathered}$

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Complete Question

The complete question is shown on the first uploaded image

Answer:

a

$g(h(x)) = \sqrt[4]{x^2 + x +5} + 3$

b

$h(g(x)) = \sqrt{x} + 7\sqrt[4]{x} + 17$

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$h(h(x)) = [x^2 + x + 5 ]^2 + x^2 + x + 10$

Step-by-step explanation:

From the question we are told that

$h(x) = x^2 + x + 5$

and

$g(x) = \sqrt[4]{x} + 3$

Considering first question

Now we are told g(h(x))

i.e

$g(h(x)) = [x^2 + x + 5 ]^{\frac{1}{4} } + 3$

=> $g(h(x)) = \sqrt[4]{x^2 + x +5} + 3$

Considering second question

Now we are told h(g(x))

i.e

$h(g(x)) = [x^{\frac{1}{4} } + 3]^2 + x^{\frac{1}{4} } + 3 + 5$

=> $h(g(x)) = x^{\frac{1}{2} } + 6x^{\frac{1}{4} } + 9+ x^{\frac{1}{4}} + 8$

=> $h(g(x)) = x^{\frac{1}{2}} + 7x^{\frac{1}{4}} + 17$

=> $h(g(x)) = \sqrt{x} + 7\sqrt[4]{x} + 17$

Considering third question

$h(h(x))= [x^2 + x + 5]^2 + [x^2 + x + 5 ] + 5$

=> $h(h(x)) = [x^2 + x + 5 ]^2 + x^2 + x + 10$

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