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}.
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Answer:
A
Step-by-step explanation:
Answer:
slope of line is 0.
Step-by-step explanation:
Slope of a line passing through (x1,y1) and (x2,y2) is given by
m = (y2-y1)/(x2-x1)
Given points are (10,5) and (9,5)
thus
slope = (5-5)/(9-10) = 0/-1 = 0
Thus, slope of line is 0.
When slope of line is zero it means that the line the which passes through given point is parallel to x-axis.
Answer: Lashawna scored 14 points
Step-by-step explanation:
Let M = Mary's score
L = Lashawna score
M = 28 points
And M is twice as much as L score
M= 2L
L= M/2
L= 28/2
M = 14.
Lashawna score was 14 points
Answer:
Step-by-step explanation:
In the morning he works four hours and 15 minutes and in the afternoon he works four hours and 15 minutes for a total of eight hours and 30 minutes. 30 minutes is 1/2 of an hour so he works for a total of 8 1/2 hours. Multiply this by his hourly rate which is $15 and this gives you $127.50
15 x 8.5 = 127.5