By algebraic handling and the image attached aside, the inequality represented in the picture is y ≤ - 3 · x + 5. (Correct choice: B)
<h3>How to derive the inequality that represents the graph</h3>
Herein we have an statement and an image indicating an inequality of the form y ≤ f(x), where f(x) is the boundary of the inequality. First, we define the linear function behind the boundary:
(x, f(x)) = (1, 2)
2 = a + b
(x, f(x)) = (0, 5)
5 = b
The solution of the system of linear equations is (a, b) = (- 3, 5).
Then, by algebraic handling and the image attached aside, the inequality represented in the picture is y ≤ - 3 · x + 5. (Correct choice: B)
To learn more on inequalities: brainly.com/question/20383699
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|x| this means absolute value making what ever number in the inside positive UNLESS you have a negative out front. Ex |8|=8. -|8|=-8. |-8|=8
The LCD = 6x^2y^3 ( because LCD of 3 and 6 = 6, LCD of x^2 and x = x^2 and LCD of y and y^3 = y^3)
now divide 3x^2y into the LCD then multiply this by 5 to get the first term in the numerator and do similar process to get second term, so we get:-
5(2y^2) - 4(x)
------------------
6x^2y^3
= 2( 5y^2 - 2x)
-----------------
6x^2y^3
= 5y^2 - 2x
-----------
3x^2y^3
Answer:
b=
2
27
=13.500
Step-by-step explanation:
