Graph the following lines and using the graph determine several values of x for which the graph is positive (negative): y=−4x+3
1 answer:
Answer:
Step-by-step explanation:
Given line is,
y=-4x+3
when, x=-1 , y=-4(-1)+3=4+3=7
when, x=0 , y=-4(0)+3=0+3=3
when, x=1 , y=-4(1)+3=-4+3=-1
So, we got the points (-1,7) , (0,3) , (1,-1)
Now, putting the points in the graph and adding them , we will get the graph of given line.
Please check image for the graph.
Now for the second part-
The graph is positive means- it will be above the x-axis, that is y value will be positive.
From the graph we can see that, if x<0 , then y is positive.
So, any value of x which is less than 0 , will give the positive graph here.
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The rock will hit the ground at 2 seconds.
Explanation:
Given that the height, h, in feet of a rock above the ground is given by the equation , where t is the time in seconds after the rock is thrown.
We need to determine the time at which the rock will hit the ground.
To determine the time, let us equate the height h = 0 in the equation , we get,
Switch sides, we have,
Let us solve the equation using the quadratic formula.
Thus, we have,
Simplifying, we get,
Hence, the two values of t are
and
Simplifying the values, we get,
and
Dividing, we get,
and
Since, t cannot negative values, we have,
Thus, the rock will hit the ground at 2 seconds.
Answer: