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ahrayia [7]
3 years ago
7

Evaluate f(x) = 2|x – 5| for f(–5) and f(0).

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:

f(–5) = 20, f(0) = 10

Step-by-step explanation:

f(-5):

f(-5) = 2|-5 -5|

f(-5) = 2|-10|

f(-5) = 2(10)

f(-5) = 20

f(0):

f(0) = 2|0 - 5|

f(0) = 2|-5|

f(0) = 2(5)

f(0) = 10

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A car traveling at 88 km an hour over takes a bus traveling at 64 km an hour if the bus has a 1.5 hour Headstart how far from th
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Step-by-step explanation:

At the point where the car overtook the bus, the car and the bus would have travelled the same distance.

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Distance travelled by the bus in t hours would be

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if the bus has a 1.5 hour Headstart, it means that the car started moving 1.5 hours after the bus has moved.

Therefore, time spent by the car would be t - 15 hours.

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Distance covered by the car in t - 1.5 hours would be

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3 0
3 years ago
3. A company with loud machinery needs to cut its sound intensity to 44% of its original level. By how many decibels would the l
sergeinik [125]

Answer:   <em>3.   The correct option is:  A) 3.57 decibels.</em>

<em>6.   The correct option is:  B) ln(\frac{x^2}{c^5})</em>

Step-by-step explanation:

3.    Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.

So,  I_{0}= 100 and I= 44

Using the formula L= 10log(\frac{I}{I_{0}}), we will get.....

L= 10log(\frac{44}{100})\\ \\ L= 10log(0.44)\\ \\ L= 10(-0.3565...)=-3.565...\approx -3.57

<em>(Rounded to the nearest hundredth)</em>

So, the loudness would be reduced by 3.57 decibels.


6.    Given expression is:    2ln(x) - 5ln(c)

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ln(x^2)-ln(c^5)

Now using the formula, log(a)-log(b)= log(\frac{a}{b}), we will get....

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Thus, the answer as a single natural logarithm is   ln(\frac{x^2}{c^5})

8 0
3 years ago
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