Answer:
2x-5= -20
move -5 to the other side
sign changes from -5 to 5
2x-5+5= -20+5
2x= -15
divide by 2 for both sides
2x/2= -15/2
cross out 2 and 2, divide by 2 and 2 and then becomes x
x= -15/2
Answer: The quotient is (x-2).
Step-by-step explanation:
Since we have given that
![f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}](https://tex.z-dn.net/?f=f%28x%29%3D%28x%5E3%2B3x%5E2-4x-12%29%5C%5C%5C%5Cand%5C%5C%5C%5Cg%28x%29%3Dx%5E2%2B5x%2B6%5C%5C%5C%5CSo%2C%5C%20%5Cfrac%7B%5Cleft%28x%5E3%2B3x%5E2-4x-12%5Cright%29%7D%7B%5Cleft%28x%5E2%2B5x%2B6%5Cright%29%7D)
Now, we have to find the quotient of the above expression.
So, here we go:
![Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)](https://tex.z-dn.net/?f=Factorise%5C%20%28x%5E3%2B3x%5E2-4x-12%29%5C%5C%5C%5C%3D%5Cleft%28x%5E3%2B3x%5E2%5Cright%29%2B%5Cleft%28-4x-12%5Cright%29%5C%5C%5C%5C%3D-4%5Cleft%28x%2B3%5Cright%29%2Bx%5E2%5Cleft%28x%2B3%5Cright%29%5C%5C%5C%5C%3D%5Cleft%28x%2B3%5Cright%29%5Cleft%28x%5E2-4%5Cright%29)
Now, we will divide the above simplest form with g(x):
![\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%28x%2B3%5Cright%29%5Cleft%28x%5E2-4%5Cright%29%7D%7B%5Cleft%28x%2B2%5Cright%29%5Cleft%28x%2B3%5Cright%29%7D%5C%5C%5C%5C%3D%5Cfrac%7Bx%5E2-4%7D%7Bx%2B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5Cleft%28x%2B2%5Cright%29%5Cleft%28x-2%5Cright%29%7D%7Bx%2B2%7D%5C%20using%5C%20%28a%5E2-b%5E2%29%3D%28a%2Bb%29%28a-b%29%5C%5C%5C%5C%3Dx-2)
Hence, the quotient is (x-2).
Answer:
100
Step-by-step explanation:
if SP>CP,
It is profit [SP - CP = Profit]
if CP>SP,
It is loss [CP - SP = Loss]
Here in the question CP>SP so,
loss = CP - SP
=200 - 100
= 100
<span>4.18879020479 which will convert to 4.2</span>
Answer:
8953.5 seconds
Step-by-step explanation:
Since the challenger descends at a rate of 4 feet per second, divide 35,814 by 4 to get the answer