What is the domain of the function y=sqrt x+4
1 answer:
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Answer:
Step-by-step explanation:
<u>First, find the equation of the line</u>.
<em>Slope-intercept form</em> of a linear equation:
(where m is the slope and b is the y-intercept)
From inspection of the graph, the y-intercept is at (0, -4)
Therefore, b = -4
Choose another point on the line, e.g. (7, 0)
Now use the slope formula to find the slope:
where:
Therefore, the equation of the line is:
For an inequality, the dashed line means < or > (whereas a solid line means ≤ or ≥)
As the shading is below the line, we need to use <
Therefore, the final inequality is:
Answer:
The ball goes 14 meters high
Step-by-step explanation:
Given the function
y= -0.1x^2 + 2x + 4
In the figure attached, the function is shown.
The maximum height is equivalent to the vertex of the function, which is obtained as follows:
Xv = -b/(2a) = -2/(2*-0.1) = 10
Yv = -0.1Xv^2 + 2Xv + 4
Yv = -0.1(10)^2 + 2(10) + 4 = 14
