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https://www.youtube.com/playlist?list=PL8dPuuaLjXtPNZwz5_o_5uirJ8gQXnhEO
By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
<h3>What kind of function represents the graph?</h3>
Graphically speaking, <em>linear</em> functions represent lines and we see that the line seen in the figure presents two bounds, the points (- 6, 0) and (9, 7). <em>Linear</em> functions are characterized by slope and intercept:
y = m · x + b (1)
Slope
m = (7 - 0)/[9 - (- 6)]
m = 7/15
Intercept
b = 4
By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
To learn more on linear functions: brainly.com/question/14695009
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Answer:
Area of 9 cm circle = PI*radius^2 = 254.47
Area of 9 cm sircle = PI*4*4 = 50.27
Are of shaded region = 254.47 -50.27 = 204 sq cm
Answer is the bottom one on the list.
Step-by-step explanation:
Hey there! :)
To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.
Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept
Since we're already given the slope, all we really need to do is find the y-intercept.
We can do this by plugging our known values into the slope-intercept equation.
y = mx + b
Since we're trying to find "b," we need to plug in "y, m, x" into our formula.
(1) = (2)(5) + b
Simplify.
1 = 10 + b
Subtract 10 from both sides.
1 - 10 = b
Simplify.
-9 = b
So, our y-intercept is 9!
Now, we can very simply plug our known values into slope-intercept form.
y = mx + b
y = 2x - 9 → final answer
~Hope I helped!~
