54+9= 63 m = distance and time=35 sec hence, speed= 63/35=9/5=1.8 m/s
time taken to reach water surface= distance/speed=54/1.8=30 sec
H(x)=-16t^2+300
The average rate is the change in h divided by the change in t, mathematically:
r=(h(3)-h(0))/(t2-t1), in this case:
r=(-16*9+300-0-300)/(3-0)
r=-144/3
r= -48 ft/s
X² - 3x + 27 = 8x - 3 аdd 3 to both sides ⇒
+ 3 + 3
---------------------------
x² - 3x + 30 = 8x subtract 8x from both sides ⇒<span>
- 8x - 8x
--------------------------
x</span>² - 11x + 30 = 0 ← <span>standard form
</span>
A. Add 3 to both sides and subtract 8x from both sides.
The potential solutions of 
are 2 and -8.
<h3>Properties of Logarithms</h3>
From the properties of logarithms, you can rewrite logarithmic expressions.
The main properties are:
- Product Rule for Logarithms -
- Quotient Rule for Logarithms -
- Power Rule for Logarithms -
The exercise asks the potential solutions for . In this expression you can apply the Product Rule for Logarithms.
Now you should solve the quadratic equation.
Δ=
. Thus, x will be 
. Then:
The potential solutions are 2 and -8.
Read more about the properties of logarithms here:
brainly.com/question/14868849
