Answer:
Step-by-step explanation:
Asymptotes 3
g(x) =
Factors of denominator will be,
x² - 3x - 10 = x² - 5x + 2x - 10
= x(x - 5) + 2(x - 5)
= (x + 2)(x - 5)
Therefore, factored form of g(x) will be,
g(x) =
Asymptotes 4
h(x) =
=
=
=
Answer:
6.21 seconds
Step-by-step explanation:
The position function of a free-falling object is,
Where,
= initial height of the object,
= initial velocity of the object,
Here,
Hence, the height of the ball after t seconds,
When s(t) = 0,
∵ Time cannot be negative,
Hence, after 6.21 seconds the ball will reach the ground.
The equation in the slope-intercept form is:
y = (1/2)*x + 3
<h3>How to write the equation?</h3>
A general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)
Then the slope is:
And we also can see that the y-intercept is y = 3, because of the point (0,3)
Then the line is:
y = (1/2)*x + 3
If you want to learn more about lines you can read:
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