We take the equation <span>d = -16t^2+12t</span> and subtract d from both sides to get
0<span> = -16t^2+12t - d
We apply the quadratic formula to solve for t. With a = -16, b = 12, c = -d, we have
t = [ -(12) </span><span>± √( 12^2 - 4(-16)(-d) ) ] / [2 * -16]</span>
= [- 12 ± √(144-64d) ] / (-32)
= [- 12 ± √16(9-4d)] / (-32)
= [- 12 ± 4√(9-4d)] / (-32)
= 3/8 ±√(9-4d) / 8
The answer to your question is t = 3/8 ±√(9-4d) / 8
46: 24a+40
First we are going to take a look at a) 8(3a+5)
a) We then simplify it by multiplying the numbers inside the parenthesis by 8.
a) 24a+40
Now we ask ourselves, is this equivalent to 24a+40? YES!
So your answer for #46 is a) 8(3a+5)
She can make a total of 30 different outfits, just multiply them all together.
<span><span><span><span><span><span><span> I believe the answer is </span></span>x</span></span>=<span>−<span><span>1<span> or x = 0 or </span></span>x</span></span></span>=<span><span>1<span> or </span></span>x</span></span>=<span>−<span><span>3<span> </span></span></span></span></span>
Mean is the average.
Add the numbers together and divide by the quantity of numbers.
8 + 11 + 19 + 17 + 15 = 70
There are 5 numbers.
Mean = 70 / 5 = 14