Answer:
<u>The quotient is x -2</u>
Step-by-step explanation:
1. Let's simplify and find out the quotient of the following division:
(x^3+3x^2-4x-12) / (x^2+5x+6)
(x³ + 3x² - 4x - 12)/ (x² + 5x + 6)
(x + 2) (x² + x - 6) / (x + 2) (x + 3) ⇒ Factorizing on the numerator and the denominator
(x² + x - 6) / (x + 3) ⇒ Eliminating (x + 2) on the numerator and the denominator
(x + 3) (x - 2) / (x + 3) ⇒ Factorizing on the numerator
x - 2 ⇒ Eliminating (x + 3) on the numerator and the denominator
<u>The quotient is x -2</u>
Answer:
15504 different groups
Step-by-step explanation:
We have a total of 20 people, and we want to know how many groups of 5 people we can make, where the order of the people inside the group doesn't matter, so we can solve this question calculating the combination of 20 choose 5.
The formula for combination is:
C(n, p) = n! / (p! * (n-p)!)
In this case, we have n = 20 and p = 5, so:
C(20, 5) = 20! / (5! * 15!) = 20*19*18*17*16 / (5*4*3*2) = 15504
So we have 15504 different groups.
the answer is D 6 8 10 is a scalene triangle
Answer:
The bottle of perfume A contains more glass
Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces
step 1
Find the surface area of Perfume A
![SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}](https://tex.z-dn.net/?f=SA%3D3%5E%7B2%7D%20%2B4%5B%5Cfrac%7B1%7D%7B2%7D%283%29%282.5%29%5D%3D24%5C%20in%5E%7B2%7D)
step 2
Find the surface area of Perfume B
![SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}](https://tex.z-dn.net/?f=SA%3D2.5%5E%7B2%7D%20%2B4%5B%5Cfrac%7B1%7D%7B2%7D%282.5%29%283%29%5D%3D21.25%5C%20in%5E%7B2%7D)
step 3
Compare the surface areas
therefore
The bottle of perfume A contains more glass
