Answer:
5x + 10y + -10y = 300 + -10y
Step-by-step explanation:
Statement: If p, then q
Inverse: If q, then p
Converse: If not p, then not q
Contrapositive: If not q, then not p.
We can see from the statement that p = brush teeth twice a day and q = not get cavities.
Thus:
Inverse: If I don't get cavities, then I brush my teeth twice a day. FALSE (for example, I might floss extra well instead. Brushing my teeth twice a day is not the only way to avoid cavities)
Converse: If I don't brush my teeth twice a day, then I get cavities. FALSE (for example, I might not eat a lot of sugar and thus I don't get cavities)
Contrapositive: If I get cavities, then I did not brush my teeth twice a day. TRUE
If this confuses you, try the example of p = cat and q = four legs. (i.e. the statement is If this is a cat, it has four legs). Try making the inverse, converse, and contrapositive, and see the truth of those statements.
Answer:
1.5 - it represents the time in seconds where the ball is highest
Step-by-step explanation:
There are 2 methods of approaching this.
The first method involves graphing, simply place into a graphing calculator and view the vertex. The horizontal line coming down from the vertex is the axis of symmetry (it splits the parabola in half).
The second method is finding the axis of symmetry (vertex) algebraically.
-b/2a is the equation used to find the x term of the vertex, and if we were to substitute our values in, we'd get -48/-32, giving us 1.5