Answer:x=1
Step-by-step explanation:
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:
brainly.com/question/1942755
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Answer:
Communitive Property
Step-by-step explanation:
Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)
Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)
Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1
Basic Definitions:
<u><em>Commutative Property</em></u> - Gives you the ability to switch the order of the numbers in an expression.
<u><em>Associative Property</em></u> - Let's you move the parenthesis in an expression but not the numbers.
<u><em>Inverse</em></u> - Uses numbers like 0 and 1.
Using these basic definitions and examples, we can summarize that the best answer would be <u>Communitive Property</u>
<u></u>
A. Put parenthesis around 12-3. This will reduce the amount you are dividing 6*5 by and give you the highest possible answer.
B. Put parenthesis around 3+4. This will simplify into 7*7, giving you the correct answer, 49.
Hope this helps!