Molly is thinking of a number. twice her number take away seven is the same as her number plus five. what is her number?
1 answer:
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Part A: The solution is
Part B: The point is not in the solution set.
Explanation:
Part A: The given inequalities are and
The solution can be determined by solving the two inequalities by substitution method.
Changing inequalities to equality, we have,
and
Let us substitute in the equation
, we get,
Substituting in
, we get,
Thus, the solution set is
Part B: Now, we shall determine whether the point is in the solution set.
Let us substitute the point in the inequalities
and
, we get,
Also, substituting in
, we get,
Since, the point does not satisfy one of the inequality
, the solution set does not contain the point
Thus, the point is not in the solution set.
Answer:
<em>t = 3 seconds</em>
Step-by-step explanation:
We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.
The equation is:
Where t is the time in seconds and h is the height in feet.
To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.
So:
We take the positive solution.
Therefore the object takes 3 seconds to reach the ground