F(x) = 3x^2+ 4x^2 – 8x - 2 g(x) = 3x - 5 Find (f - g)(x).
1 answer:
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<h3>Answer:</h3>
2x^2 -5x -2
<h3>Step-by-step explanation:</h3>See the attached for the polynomial long division.
The ball will hit the ground at 2 seconds.
Step-by-step explanation:
Given that,
The path of the ball = h(x)=−2x2+1x+6
Here,
x is the time while h is the height of ball.
When the ball will hit the ground, the height will become zero. Therefore,
h(x)=−2x2+1x+6
0 =−2x2+1x+6
or
2x2 -1x - 6 = 0
This is a quadratic equation, hence by applying quadratic equation formula:
here,
a = 2
b = -1
c = -6
Putting these values in formula, we get
x = 2, -3/2
As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.