What is the standard form of y=(x–4)(x+1)?
1 answer:
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Answer:
A. x-intercept=x=1.5 , y-intercept=y=36
B.the apple will hit the ground after x=1.5 seconds.
Step-by-step explanation:
A. X-intercept and Y-intercept:
X-intercept:
- the point where the line passes through X-axis i.e. point where y=0
Y-intercept:
- the point where the line passes through Y-axis i.e. point where x=0
Given Equation:
Finding X-intercept:
to find x-intercept, put y=0 in the given equation as
adding to both sides of the equation, we get
dividing both sides by 16, we get
taking√ on both sides of the equation, we get
Finding Y-intercept:
to find y-intercept, put x=0 in the given equation
thus x-intercept
and y-intercept
B.when will the apple hit the ground after x seconds?
In the given equation if x represent the time in seconds then y represents the height of the tree from which the apple is fallen down
so if the apple hits the ground, at this stage the height is zero so y=0, thus we get x as
dividing both sides by 16, we get
taking√ on both sides of the equation, we get
the apple will hit the ground after x=1.5 seconds.