<u>Answer:</u>
x = ±5
<u>Step-by-step explanation:</u>
We are given the following polynomial function and we are to find all of its real roots:
Let 
so we can now write it as:
Factorizing it to get:
Substitute back to get:
The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.
<span>x^2 - 4x - 12 = 0
factors
(x - 6)(x + 2) = 0
</span>Set (x - 6) and (x + 2)<span> equal to </span><span>0</span><span> and solve for </span><span>xx</span>.<span>
x - 6 = 0; x = 6
x + 2 = 0; x = -2
answer
x = -2 or x = 6</span>
Thank you for posting your question here. I hope the answer below will help.
Vo=110 feet per second
<span>ho=2 feet </span>
<span>So, h(t) = -16t^2 +110t +2 </span>
<span>Take the derivative: h'(t) = 110 -32t </span>
<span>The maximum height will be at the inflection when the derivative crosses the x-axis aka when h'(t)=0. </span>
<span>So, set h'(t)=0 and solve for t: </span>
<span>0 = 110 -32t </span>
<span>-110 = -32t </span>
<span>t=3.4375 </span>
<span>t=3.44 seconds </span>
What we know:
-volume of 10,000 drops is 10 fluid ounces
Step 1: Divide 10,000 by 10 (to find how much we need to divide 10 by to get our answer)
10,000/10=1,000
Step 2: Divide 10 by 1,000 (to find our answer)
10/1,000=0.01
Our answer is 0.01. The volume of 10 drops of liquid is 0.01 fluid ounces.
Let's name the x-coordinates and y-coordinates
- x-coordinate = abscicca
- y-coordinate = ordinate
So, According to question
- Abscicca of Point D = Ordinate of Point B
- Ordinate of Point D = Abscicca of Point A
Abscicca of Point A = 2
Ordinate of Point B = -4
<h3>Thus, </h3>
Point D = (-4,2)
