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Bogdan [553]
3 years ago
6

Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.

Mathematics
1 answer:
Sindrei [870]3 years ago
5 0
Hello : 
<span>f(x) = 4x − 5 and g(x) = 3x + 9
</span><span>(f + g)(x) = f(x) +g(x) = (4x-5) +(3x+9)
</span><span>(f + g)(x) =7x +4
</span><span>(f ⋅ g)(x) = f(x) × g(x) = (4x-5)(3x+9) = 12x² +36x -15x-45
</span>(f ⋅ g)(x) = 12x² +21x -45
<span>f[g(x)] = f(3x+9) = 4(3x+9) -5
</span><span>f[g(x)] = 12x +31</span>
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2 years ago
A grandfather clock’s pendulum has a period of 4.5 seconds. What is its frequency? Round to the nearest hundredth.
Brilliant_brown [7]

Answer: 0.22hz

Step-by-step explanation:

Hi to answer this question we have to analyze the information given:

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So, to calculate the frequency of the pendulum we have to apply the formula;

Frequency (f)= 1 / period  

Replacing with the value given:

f = 1/ 4.5 sec = 0.22 hz

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
Work out the lengths of side a and side b 8cm and 5 cm 1 triangle 17cm and 12 cm on the other triangle pythagoras
Viktor [21]

Answer:

a = 9.4 cm

b = 12.0 cm

Step-by-step explanation:

Check the image uploaded for diagram;

For the first diagram, side length a is calculated as follows;

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a² = 64  +  25

a² = 89

a = √89

a = 9.4 cm ( approximated to 1 decimal place)

For the second diagram, side length b is calculated as follows;

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3 0
3 years ago
Which direction does the graph of f(x) = −18 + x2 − 3x open?
Mekhanik [1.2K]
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Since the coefficient of the x^2 term is +, the graph opens UP.</span>
7 0
2 years ago
1. Which other expression has the same value as (-14) - 8?​
ludmilkaskok [199]

Answer: −22

Step-by-step explanation:

=−14−8

=−14+−8

=−22

6 0
2 years ago
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