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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<span> 0.8 that for the 44/55 idk what u want me to do with the 39
here how 2 turn them into decimals
</span>
The fraction bar means "divided by." So finding the decimal equivalent of a fraction such as 1/4 means 1 divided by 4.
1 ÷ 4 = 0.25
It is not necessary to reduce a fraction before you convert it to a decimal but doing so might make the long division easier if you are doing it by hand.
For example, 9/12 = 9 ÷ 12 = 0.75. If you solve this with a calculator then it is easy to get the answer. However, if you use long division to solve this problem by hand or in your head, reducing 9/12 = 3/4, may make the problem easier. You may even recognize that 3/4 = 0.75 because 3 quarters equals 75 cents.
cited from -http://www.calculatorsoup.com/calculators/math/fraction-to-decimal-calculator.php
You solve for y so then u subtract the 7x from 30 to get 30-7x equals -10 since the -10 has a variable it means u divide by -10 to the subtracting equation to get-3+7/10
To find the x intercept you plug in 0 for y then solve for x and to find the y intercept you plug in 0 for x and solve for y in the end you should get x =7/3 and y=-3 if you did the math correctly
