The domain of the function is all real numbers except 2 and -1
Step-by-step explanation:
Domain is the set of inputs of a function on which the function is defined.
Given function is:
In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined
The function will be undefined on x=-1 and x=2
So,
The domain of the function is all real numbers except 2 and -1
Keywords: Domain, functions
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Step-by-step explanation:
Percentage change is 25%
Answer:
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
Your answer would be h=1435/12
Answer:
I bedroom condo = $280
2 bedroom condo = $400
3 bedroom condo = $560
Step-by-step explanation:
Given that :
Total rental cost for all 3 condos = $1240
Let :
I bedroom condo = b
2 bedroom condo = c
3 bedroom condo = 2b
Hence,
b + c + 2b = 1240
3b + c = 1240 - - - (1)
REPAIR COST :
Total repair cost = $276
1 bedroom = 10% of b = 0.1b
2 bedroom = 20% of c = 0.2c
3 bedroom = 30% of 2b = 0.3 * 2b = 0.6b
Hence,
0.1b + 0.2c + 0.6b = 276
0.7b + 0.2c = 276 - - - (2)
From (2)
0.7b + 0.2c = 276
0.7b = 276 - 0.2c
b = (276 - 0.2c) / 0.7
Substitute b = (276 - 0.2c) / 0.7 into (1)
3(276/0.7 - 0.2c/0.7) + c = 1240
1182.8571 - 0.8571428c + c = 1240
1182.8571 + 0.1428571c = 1240
0.1428571c = 1240 - 1182.8571
0.1428571c = 57.1429
c = 57.1429 / 0.1428571
c = 400
3b + c = 1240
3b + 400 = 1240
3b = 1240 - 400
3b = 840
b = 840/3
b = 280
Hence,
I bedroom condo = $280
2 bedroom condo = $400
3 bedroom condo = 2(280) = $560
