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Bingel [31]
4 years ago
5

The function g is defined by g(x) = 2x - 4. Find g(z-3).

Mathematics
1 answer:
borishaifa [10]4 years ago
6 0

Answer:

2z -10

Step-by-step explanation:

g(x) = 2x - 4.

Let x  =z-3

g(z-3) = 2(z-3) - 4.

        Distribute

g(x-3) = 2z -6 -4

          =2z -10

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3) Usain Bolt holds the men’s world record in both the 100 meter (9.58 seconds) and the 200 meter (19.19 seconds). Tyson Gay’s t
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1 km-------------> 1000 m
 X-----------------> 1 m
X=1/1000--------> 0.001 km

1 hour---------> 3600 sec
 X---------------> 1 sec
X=1/3600--------> 0.0002777 hour

1 ft-----------> 0.3048 m
X-----------> 1 m
X=1/0.3048 ----------> 3.28084 ft

Part 1) <span>What are all three sprinters times in kilometers per hour? Round your answers to the nearest tenths. 

a) </span><span>Usain Bolt  9.58 sec  in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
9.58 sec-------------> 9.58*(1/3600)-----> 0.0026611 hour

0.10/0.0026611----------> 37.6 km/hour

</span>b) Tyson Gay  9.69 sec  in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
9.69 sec-------------> 9.69*(1/3600)-----> 0.0026916 hour

0.10/0.0026916----------> 37.2 km/hour

c) Florence Griffith-Joyner  10.49 sec  in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
10.49 sec-------------> 10.49*(1/3600)-----> 0.0029138 hour

0.10/0.0029138----------> 34.3 km/hour

Part 2) <span>What are all three sprinters times in feet per second?
</span>
a) Usain Bolt  9.58 sec  in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/9.58 sec----------> 34.25 ft/sec

b) Tyson Gay  9.69 sec  in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/9.69 sec----------> 33.86 ft/sec

c) Florence Griffith-Joyner  10.49 sec  in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/10.49 sec----------> 31.28 ft/sec

Part 3) <span>How much faster was Usain Bolt in the 100 meter than Tyson Gay?
9.69-9.58-------> 0.11 sec

</span>Usain Bolt  was 0.11 sec faster than Tyson Gay in the 100 meter<span>

</span>
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