The ball is dropped from a building and the quadratic function which models the ball`s height is:
h ( t ) = - 16.1 t² + 150
We can find the initial height if we calculate h ( 0 ), or the height for : t = 0 sec.
h ( 0 ) = -16.1 · 0² + 150 = 0 + 150 = 150 ft
Answer:
The ball was dropped from 150 feet.
Answer:
d = -10
Step-by-step explanation:
(d is the variable)
-6d - 10 = 10 - 4d
+4d +10
-2d = 20
-2d/-2 20/-2
d = -10
:)
Answer:C (-2, 1)
Step-by-step explanation:
The correct answer is: [C]: " p = 6.25 h " .
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Explanation:
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It is clear that "pay" is a function of "hours worked" ;
So, we can eliminate: "Choice [B]: " h = <span>6.25p" .
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Try, Choice [A]: " </span>p = h + 12.5 " ; and 14.50 ≠ 12.50 ; (12.50 is the amount shown in the table. So, we can already eliminate "Choice [A]".
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Now that we have eliminated choices [A] and [B];
we are left with choices: [C] and [D]:
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Consider choice [C]: " </span><span>p = 6.25h " ;
</span> when "h = 2" ; does: "p = 12.5" (as shown on table)?? ;
i.e. " 12.5 =? 6.25 * (2) ?? Yes! This choice is a POSSIBILITY.
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Consider choice [D]: " p = 12.5h" .
When "h = 2, does "p = 12.5" (as shown on table)? No!
→ We can see from this very answer choice
(the equation itself) that when "h = 2" ;
the value of "p" is DOUBLE [that of "12.5"].
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The correct answer is: Answer choice: [C]: " <span>p = 6.25 h " .
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So, this is a proportion problem. If we express 75% as a fraction (3/4ths), we have:
Since he won all of his games, we add the number won (x), to the number previously won and divide it by the total games played which is just the previous games played plus the number of current games played, so since he lost no games we still add x to the denominator as well. Solving this gives us:
That x value is 20.
