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mars1129 [50]
3 years ago
14

Given: g(x) = Vx – 4 and h(x) = 2x - 8. What is g(h(10))?

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
4 0
H(10) = 2(10) - 8
h(10) = 12
g(12) = root 12 - 4
g(12) = root 8
g(h(10)) = 2 root 2
insens350 [35]3 years ago
4 0

Answer:

2 square root of 2

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Les r be the number of laps he completed running an w the number of laps he walked. Also, lets write all in seconds, which can be a little easier than working with minutes.

Then, as it takes him 1:45 minutes by running, and we know that 1 minute is equal to 60 seconds, we can say it takes him 60+45=105 seconds to run a lap.  Then, as it takes him 3 minutes to walk a lap we can say it takes him 3*60=180 seconds to walk a lap.

Thus, in total the minutes he needs if he runs r laps and walk w laps is:

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As we know he did his laps in 25 minutes, which are equivalent to 25*60=1500 seconds:

105 r + 180 w = 1500 [equation 1]

We also know he completes 10 laps, which means that"

r + w = 10 [equation 2]

We can subtract w (or r) in both sides of equation 2 to get the value of r as a function of w:

r = 10 - w [equation 2']

Then we can plug equation 2' in equation 1 leaving all in terms of w:

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If we subtract 1050 in both sides:

75 w = 1500 - 1050

75 w = 450

Dividing both sides by 75 we get the value of w:

w = 450/75

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So, he walked 6 laps. Then, he must have run the remaining 4 laps.

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