This is the concept of quadratic equations. We are required to find the missing factor in the partially factored quadratic equation given;
n(n-3)+2(n-3)=()(n-3)
here we proceed as follows;
n(n-3)+2(n-3)
when we factor this we get:
(n-3)(n+2)
this can be written as:
(n+2)(n-3)
The answer is (n+2)
You are measuring people and animals, so this is for sure two of your units. For the next units, you need to choose something big enough to hold a large number of these, so you would use square meters and acres. The answer is the third option: <span>number of people per square meter and number of animals per acre</span>
Answer:
(A) - (5)
(B) - (4)
(C) - (1)
(D) - (2)
Step-by-step explanation:
(A) We are given the polynomial (x+4)(x−4)[x−(2−i)][x−(2+i)]
(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.
(B) We are given the polynomial (x+i)(x−i)(x−2)³(x−4).
(4) The related polynomial equation has a total of six roots; two roots are complex and one of the remaining real roots has a multiplicity of 3.
(C) We are given the polynomial (x+3)(x−5)(x+2)²
(1) The related polynomial equation has a total of four roots; all four roots are real and one root has a multiplicity of 2.
(D) We are given the polynomial (x+2)²(x+1)²
(2) The related polynomial equation has a total four roots; all four roots are real and two roots have a multiplicity of 2. (Answer)
Answer:
do you still need this answered?
Step-by-step explanation:
Answer:
h = 110.24 m
Step-by-step explanation:
It is given that,
A rock is thrown up from the ground at a velocity of 84 feet per second. The formula
gives the rock's height in feet after t second.
We need to find the maximum height of the rock. For maximum height put ![\dfrac{dh}{dt}=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bdh%7D%7Bdt%7D%3D0)
So,
![\dfrac{d( -16t^2 + 84t)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.62\ s](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%28%20-16t%5E2%20%2B%2084t%29%7D%7Bdt%7D%3D0%5C%5C%5C%5C-32t%2B84%3D0%5C%5C%5C%5Ct%3D%5Cdfrac%7B84%7D%7B32%7D%5C%5C%5C%5Ct%3D2.62%5C%20s)
Put t = 2.62 s in the equation of height. So,
![h = -16(2.62)^2 + 84(2.62)\\\\h=110.24\ m](https://tex.z-dn.net/?f=h%20%3D%20-16%282.62%29%5E2%20%2B%2084%282.62%29%5C%5C%5C%5Ch%3D110.24%5C%20m)
So, the maximum height of the rock is 110.24 m.