Answer: x ≥ 3.2 OR x ≤ -0.75
Here's how to solve the compound inequality step-by-step: start by separating it into two inequalities. For the first one, 5x - 4 ≥ 12, add 4 to both sides to remove the constant, leaving 5x ≥ 16. Then divide both sides by 5 to isolate x, resulting in x ≥ 3.2.
Now for the second part, 12x + 5 ≤ -4, subtract 5 from both sides to obtain 12x ≤ -9. Dividing both sides by 12 gives x ≤ -9/12, which simplifies to x ≤ -0.75. So, combining both, the solution is x ≥ 3.2 OR x ≤ -0.75.
The y-intercept is the location where any graph meets the y-axis.
Conversely, the x-intercept is where a graph intersects the x-axis.
This indicates that the coordinates at the intercept will always have the x-value as 0. Therefore, points of the format (0, y) represent y-intercepts, while points in the format (x, 0) indicate x-intercepts.
The provided points are:
(0,-6): y-intercept
(-2,0): x-intercept
(-6,0): x-intercept
(0,-2): y-intercept
We observe that
the vertex of f(x) is located at the point (0,0)
and
the vertex of g(x) is situated at (0,5)
thus,
(x,y) in f(x) becomes -------> (x,y+5) in g(x)
g(x)---------> f(x)+5
g(x)=x²+5
the answer is
g(x)=x²+5
Answers:
C - The value of w cannot be negative.
D - The variable l is substituted with the value 20.
E - To isolate the variable w, the subtraction property of equality is applied.
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