Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12,
xz_007 [3.2K]
The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.
<h3>How to determine the range of a function?</h3>
Given: 12x + 6y = 24
Here x stands for the input and y stands for the output
Replacing y with f(x)
12x + 6f(x) = 24
6f(x) = 24 - 12x
f(x) = (24 - 12x)/6
Domain = {-4, 0, 5}
Put the elements of the domain, one by one, to estimate the range
f(-4) = (24 - 12((-4))/6
= (72)/6 = 12
f(0) = (24 - 12(0)/6
= (24)/6 = 4
f(5) = (24 - 12(5)/6
= (-36)/6 = -6
The range exists {12, 4, -6}
Therefore, the correct answer is option c. {12, 4, -6}.
To learn more about Range, Domain and functions refer to:
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Given :
Fresh Farm: $4.50 for 5 lbs
Fruit Garden: $1/5 for 1/3 lb
Mother Nature: $4 for 5 lbs
Country Market: $0.85 per pound
To Find :
Which store offers the lowest unit rate for cantaloupes, in dollars per pound.
Solution :
Dollar per pound of each store :
Fresh Farm : 4.50/5 = $0.9 per pound
Fruit Garden: (1/5)/(1/3) = $0.6 per pound
Mother Nature: 4/5 = $0.8 per pound
Country Market: $0.85 per pound
From above we can see that Fruit Garden offers lowest unit rate.
Hence, this is the required solution.
False I think
More than three lines of symmetry
The length of the diagonal should be 18 if I am not wrong!
Step-by-step explanation:
a2+ b2=c2
so 10x10+15x15=the diagonal
100+225=325
325 squared = 18
Answer: 3,4,5
Step-by-step explanation:
The right triangle theorem states the the two legs added together squared equal the hypotenuse squared
3^2+4^2=25
square root of 25 is 5 so b is 3,4,5 is the answer
