Answer:
Step-by-step explanation:
The vertical displacement function is , where is measured in meters and in seconds. Ball hits the ground when . That is:
Whose roots can be found by using the General Formula for Second-Order Polynomials:
Solutions of this polynomial are:
Only the first root is physically consistent.
Lets change "16" by its to 16/1 .. since nothing can't help support 16 by itself when it is going into 7/10
Now that we change that ... your problem becomes 7/10 × 16/1
7/10 × 16/1 = 11 1/5
Because
7(16) / 10(1) = 112/10
Now lets go. to how we solve the for the answer
112/10 = 11 1/5
☺
The relationship is linear.
The reason why is because each time x increases by 1, the value of y increases by 3. In other words, the slope is 3 and it is constant no matter what two points you pick
x = input
y = output
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Extra Info:
slope = rise/run
slope = (change in y)/(change in x)
slope = 3/1
slope = 3
The y intercept is (0,6). Think backwards in terms of the pattern going on.
Or you can plug m = 3 and (x,y) = (1,9) into y = mx+b and solve for b to get b = 6
We can use the FOIL method to simplify.
= (3x – 1)(2x + 9)
= (3x * 2x) + (3x * 9) + (-1 * 2x) + (-1 * 9)
= 6x + 27x + (-2x) + (-9)
= 33x - 11
Hope This Helped! Good Luck!