(x, -3)
2x - y = 9 Plug in the point into the equation (x stays the same since there isn't a value for it)
2x - (-3) = 9
2x + 3 = 9 Subtract 3 on both sides
2x = 6 Divide 2 on both sides
x = 3 (3, -3)
Answer:
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Step-by-step explanation:
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L - Lane's age
m- Mel's age.
Lane is 10 times Mel's age, so 10m = l
difference in their age is 27 so l - m = 27
Substitute l = 10m and you'll have:
10m - m = 27
9m = 27 /:9
m=3
And l = 10m = 10*3 = 30
So Lane has 3 years old and Mel has 30 years old.
Answer:
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Step-by-step explanation:
According to <em>graphical</em> and <em>analytical</em> methods, the value of the <em>input</em> variable associated with point of intersection between f(x) and g(x) is 1.5. (Correct choice: C)
<h3>How to determine the point of interception between two linear functions</h3>
<em>Linear</em> functions are polynomials with a grade of 1 and described by the following form:
y = m · x + b (1)
Where:
- x - Independent variable
- m - Slope
- y - Dependent variable
- b - Intercept
Please notice that <em>horizontal</em> lines have a slope of 0.
There are two forms to estimate the coordinates of the point of intersection of the two functions: (i) <em>graphical</em>, (ii) <em>analytical</em>. According to the first method, the value of the <em>input</em> variable is approximately 1.5.
And according to the second method, we have the functions f(x) = 1 and g(x) = (4/3) · x - 1. Then, we must solve the following formula to determine the input variable of the point of interception:
1 = (4/3) · x - 1
(1/3) · x = 1/2
x = 3/2
x = 1.5
The value of the <em>input</em> variable is approximately 1.5.
According to <em>graphical</em> and <em>analytical</em> methods, the value of the <em>input</em> variable associated with point of intersection between f(x) and g(x) is 1.5. (Correct choice: C)
To learn more on systems of linear equations: brainly.com/question/27664510
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