Answer:
x - 4y = 8
Step-by-step explanation:
Since the Point-Slope Formula is already given to you, convert it to Slope-Intercept Form, and you do that by doing this:
y - 1 = ¼(x - 12) >> y - 1 = ¼x - 3
y - 1 = ¼x - 3
+ 1 + 1
--------------
y = ¼x - 2 >> Slope-Intercept Form
After doing this, you are ready to convert to Standard Form, and you do that by doing this:
y = ¼x - 2
-¼x -¼x
-----------
-¼x + y = -2
Now unfortunately, we do not want fractions as our coefficients, so the way to eliminate the fraction is to multiply the equation by the Multiplicative Inverse of -¼, which is -4:
-4[-¼x + y = -2] >> x - 4y = 8 → New equation without fractions
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Answer:
Step-by-step explanation:
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1a) The domain is a set of all real numbers not equal to 5
1b) The domain is a set of all real numbers not equal to 4
<h3>What is the domain of the function?</h3>
Domain of a function is the set of all possible input values that make the function defined.
1a) We are given the function;
C(x) = -3²/(x - 5)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 5
1b) The function is; R(x) = 4x/(3x - 12)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 4
2a) Function is;
f(x) = (x + 8)/(2x - 1)
f(2) = (2 + 8)/(2(2) - 1)
f(2) = 10/3
f(0) = (0 + 8)/(2(0) - 1)
f(0) = -8
f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)
f(-1/2) = -15/4
2b) Function is;
r(t) = (t² + 8)/(t³ - 25t)
r(3) = (3² + 8)/(3³ - 25(3)) = -17/48
r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7
r(-1) = ((-1)² + 8)/((-1)³ - 25(-1)) = 9/24 = 3/8
Read more about Domain of function at; brainly.com/question/10197594
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Answer:
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Step-by-step explanation: