What percent is represented by the shaded area? The tape diagram below represents 100%, percent.
1 answer:
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Answer:
8 seconds.
Step-by-step explanation:
To solve this question, we need to find the time, , when
, that is, when the height of the object above the ground is 0 feet.
Substituting feet per second and
gives the quadratic:
Since 128 is divisible by 16, it can be reduced to .
We must now solve for .
We can easily see that one answer to the equation is 0,
(we need not concern ourselves with the 16 outside of the parenthesis as in the equation above, since 16 multiplied by 0 is 0). However this is the time the object is released into the air.
The second answer, is also easy to see by inspection:
.
Therefore the object lands 8 seconds after it is thrown.
The y-intercept of the given table is 2000.
<u>Step-by-step explanation:</u>
Write the table in the ascending order.
From the table, calculate the rise and run to find the slope of the line.
Choose points (0,2000) and (1,1800).
rise= -200 and run=1.
Slope m = -200.
The line equation is y=mx+c.
Apply the slop value in the equation,
y= -200x+c.
To find the y-intercept substitute a value in the above equation.
Substitute(1,1800),
1800 = -200(1)+c.
2000=c.
y= -200x+2000.
The y-intercept is the point where the line passes through in the vertical y-axis at the origin.
