The x-intercepts and the y-intercepts of the function is that determines the graph is:
- x-intercepts = (-5,0) and (-1,0)
- y-intercepts = (0,2)
<h3>How do we graph the function y = f(x) of an absolute equation?</h3>
The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.
From the given equation:
y = 2|x+3| - 4
To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.
By doing so, the x-intercepts and the y-intercepts of the function is:
- x-intercepts = (-5,0) and (-1,0)
- y-intercepts = (0,2)
Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.
Learn more about determining the graph of an absolute equation here:
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Answer:
a number line that goes from 0 to 16. the whiskers range from 1 to 12, and the box ranges from 3 to 9. a line divides the box at 7.
If a,b,c are the 3 positive integers
1/a +1/b +1/c > 6/abc
(bc+ac+ab)/abc >6/abc so
(bc+ac+ab)>6
The lowest positive integers that are different are 1,2,3 so the lowest value that (bc+ac+ab) could have is 1•2+2•3+1•3=2+6+3= 11 therefore
1/a +1/b +1/c > 6/abc is true
Answer:
Height = 19mm.
Step-by-step explanation:
Area of a regular polygon = (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem, P = Perimeter.
Here A = 5, P = 5*12 = 60 so
Area of the base = (5 * 60) / 2 = 150 mm^2.
Volume = area base * height so
Height = volume / area of base
= 2850 / 150
= 19 mm.