3 years ago

Given the following functions:

Mathematics

1 answer:

andrew-mc [135]3 years ago

5 0

Answer:

x^2 - 6x + 9.

Step-by-step explanation:

f(x) = x^2 and g(x) = x - 3.

To find f(g(x)) we replace the x in f(x) by g(x).

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

= x^2 - 6x + 9.

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tamaranim1 [39]

Answer:

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2 years ago

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A child that is 1.4 meters tall is standing next to a flagpole. The child's shadow is 1.2 meters long. At the same time, the sha

koban [17]

The flag pole is $8.75 \: m$ or write it as $9 \: m$ tall.

Step-by-step Explanation:

Let "p" be the height of the flag pole.

The ratio of the child height to the pole height is the same as the ratios of their respective shadows, so,

$\frac{1.4}{p} = \frac{1.2}{7.5}$

Now, Cross multiply :-

$1.2 \times p = 1.4 \times 7.5$

→ $1.2 \times p = 10.5$

→ $p = \frac{10.5}{1.2}$

→ $p = 8.75$

This $8.75$ can be rounded off to $9$ as it ends with $.75$

So, the flag pole is <u>9 metres</u> tall.

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2 years ago

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Stolb23 [73]

Answer:

the first one

Step-by-step explanation:

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3 years ago

Round 9254 to the nearest hundred

wolverine [178]

9300 is the correct answer

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3 years ago

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If x^(3/2) = 64, find the value of 4x^(−3/4)

frez [133]

Answer:

1/2

Step-by-step explanation:

x∧(3/2) = 64 = 8²

(3/2)Log₈ x = 2 Log₈ 8

Log₈ x = 4/3

x = 8∧(4/3)

Therefore

4* x∧(-3/4) = 4* 8∧(-1) = 4/8 = 1/2 = 0.5

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3 years ago