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lozanna [386]
2 years ago
14

Using the functions f(x) = (3 - x)/(x2 + 4) and g(x) = 3x, find the value of (f*g)(2).

Mathematics
1 answer:
wariber [46]2 years ago
4 0

9514 1404 393

Answer:

  (f×g)(2) = 3/4

Step-by-step explanation:

For each of the functions, put 2 where x is and evaluate the expression.

  f(2) = (3 -2)/(2² +4) = 1/8

  g(2) = 3×2 = 6

Then the product is ...

  (f×g)(2) = f(2)×g(2) = (1/8)×6 = 6/8

  (f×g)(2) = 3/4

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Step-by-step explanation:

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Two squares have sides 12cm and 4cm respectively. What is the ratio of their sides​
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Answer:

3 : 1

Step-by-step explanation:

We have to compare the value of two sides.

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2 years ago
5. A square pyramid has a slant height of 5 meters. The perimeter of the base is 32 meters. Find the surface area of the pyramid
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Step-by-step explanation:

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Question 7: Which of the following statements is true?
yawa3891 [41]

Problem 7)

The answer is choice B. Only graph 2 contains an Euler circuit.

-----------------

To have a Euler circuit, each vertex must have an even number of paths connecting to it. This does not happen with graph 1 since vertex A and vertex D have an odd number of vertices (3 each). The odd vertex count makes it impossible to travel back to the starting point, while making sure to only use each edge one time only.

With graph 2, each vertex has exactly two edges attached to it. So an Euler circuit is possible here.

================================================

Problem 8)

The answer is choice B) 5

-----------------

Work Shown:

abc base 2 = (a*2^2 + b*2^1 + c*2^0) base 10

101 base 2 = (1*2^2 + 0*2^1 + 1*2^0) base 10

101 base 2 = (1*4 + 0*2 + 1*1) base 10

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