In the xy-plane, what is the y-intercept of the graph of the equation y = 6 (x - 1) (x + 3)?
1 answer:
The y-intercept of the graph of the equation is -18
<h3>What is an intercept?</h3>An intercept is a point where the tangent to a curve or a straight line touches the x-axis or the y-axis.
Analysis:
y = 6(x-1)(x + 3)
y = 6( + 3x -x -3)
y = 6( +2x -3)
y = 6 +12x -18
The y-intercept of the equation occurs at x = 0
Therefore y = -18.
In conclusion, the y-intercept is -18.
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Answer:
a. 2.56 sec
b. 65.96 feet.
Step-by-step explanation:
a) The equation of motion of a body under gravity gives the equation
......... (1) {Where u is the initial velocity of the body and t is the time to descend h height and g is the acceleration due to gravity.
Now, from the equation (1) we have
{Since g = 32 feet/sec² }
⇒
So, applying Sridhar Acharya formula
seconds {Neglecting the negative root as t can not be negative.} (Answer)
b) Again we have the formula that
{Where v is the final velocity before hitting the ground.}
⇒
⇒ v = 65.96 feet / sec. (Answer)