9514 1404 393
Answer:
a. 1.48 seconds
Step-by-step explanation:
You want to find the larger value of t such that h(t) = 10.
-16t^2 +25t +8 = 10
16t^2 -25t +2 = 0 . . . . subtract the left side to get standard form
Using the quadratic formula, we find the values of t to be ...
t = (-(-25) ± √((-25)^2 -4(16)(2)))/(2(16)) = (25±√497)/32
t ≈ 0.08 or 1.48
The ball goes in the hoop about 1.48 seconds after it is thrown.
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<em>Additional comment</em>
The quadratic formula tells us the solution to ...
ax² +bx +c = 0
is given by ...

Here, we have a=16, b=-25, c=2. Of course, our variable is t, not x, but the relation is the same.
Answer: cost to buy 7.4 pounds of avocados from this store=$17.39
Step-by-step explanation:
Sale of avocados per pound in the grocery= $2.35
Sale of 7.4 pounds of avocados= $2.35 x 7.4 pounds =$17.39
Therefore, the cost to buy 7.4 pounds of avocados from this store=$17.39
3.866 microseconds? 7 x 522 nano seconds = 3.86600 ms
Answer:
<h2>x = 12</h2>
Step-by-step explanation:

First of all multiply through by 5 to eliminate the fraction
That's

Next using the addition property add 4 to both sides of the equation
We have

<u>Divide both sides by 2</u>

We have the final answer as
<h3>x = 12</h3>
Hope this helps you
Answer:
(4, - 4 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is
(1, - 1 ) → (4(1), 4(- 1)) → (4, - 4 )