Ok so first we need to distribute so:
<span>=<span><span><span><span><span>(4)</span><span>(b)</span></span>+<span><span>(4)</span><span>(2)</span></span></span>+</span>−<span>3b
</span></span></span>=<span>4b+8+−3b
</span>So now that we've distrubuted that we are now going to Combine Like Terms:
<span>=<span><span><span>4b</span>+8</span>+<span>−<span>3b
</span></span></span></span><span>=<span><span>(<span><span>4b</span>+<span>−<span>3b</span></span></span>)</span>+<span>(8)
Finally your answer is:
</span></span></span><span>=<span>b+<span>8
I hope this helps you!</span></span></span>
Answer/Step-by-step explanation:
Total Distance = 3Ft
a) Determine the amplitude and period of a sinusoidal function that models the bobbing buoy.
Amplitude = 3/2 = 1.5 period = 10 second
No ph. Shift
b) Write an equation of a function that models the buoy with x=0 at its highest point.
y= 1.5 cos (
)
1) if they're both 1:
1 x 1 = 1: they preoduct is equal to both factors!
2) if one of them is negative (but not 2!)
for example: -2 and 6: the product is -12, and it's less than both -2 and 6!!!
Answer:
16 + 2x
Step-by-step explanation:
Answer:



Step-by-step explanation:

They wanted to complete the square so they took the thing in front of x and divided by 2 then squared. Whatever you add in, you must take out.

Now we are read to write that one part (the first three terms together) as a square:

I don't see this but what happens if we find a common denominator for those 2 terms after the square. (b/2a)^2=b^2/4a^2 so we need to multiply that one fraction by 4a/4a.

They put it in ( )

I'm going to go ahead and combine those fractions now:

I'm going to factor out a -1 in the second term ( the one in the second ( ) ):

Now I'm going to add (b^2-4ac)/(4a^2) on both sides:

I'm going to square root both sides to rid of the square on the x+b/(2a) part:


Now subtract b/(2a) on both sides:

Combine the fractions (they have the same denominator):
