9.09% increase.
First find the difference between the two numbers.
(4)
then, divide the result by the original amount...
4÷ 44
then multiply by 100
9.09 and that is to the nearest 10th otherwise your answer 9% increase from 44 to 48.
For this case we have the following product:
![(x-4) (x + 3) ](https://tex.z-dn.net/?f=%28x-4%29%20%28x%20%2B%203%29%0A)
We must use the distributive property correctly to solve the problem.
We have then:
![x ^ 2 + 3x - 4x - 12 ](https://tex.z-dn.net/?f=x%20%5E%202%20%2B%203x%20-%204x%20-%2012%0A)
Then, we must add similar terms.
We have then:
Answer:
The final product is given by:
option 2
15x^3+4x^2+14x+12
Multiply 3x by every value in the second bracket. Then multiply 2 by every value in the second bracket. Add like terms. (Only answers with the same square are like terms.)
Look at deonomators
assuming that the deonomenators are 5x+15y and 2x+6y
find their LCM
factor
5x+15y=5(x+3y)
2x+6y=2(x+3y)
LCM=10(x+3y)=10x+30y
multiply 2/(5x+15y) by 2/2=4/(10x+30y)
multiply 1/(2x+6y) by 5/5=5/(10x+30y)
if we add them
9/(10x+30y)
Answer:
A quadratic equation can be written as:
a*x^2 + b*x + c = 0.
where a, b and c are real numbers.
The solutions of this equation can be found by the equation:
![x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%2B-%20%5Csqrt%7Bb%5E2%20-%204%2Aa%2Ac%7D%20%7D%7B2%2Aa%7D)
Where the determinant is D = b^2 - 4*a*c.
Now, if D>0
we have the square root of a positive number, which will be equal to a real number.
√D = R
then the solutions are:
![x = \frac{-b +- R }{2*a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%2B-%20R%20%7D%7B2%2Aa%7D)
Where each sign of R is a different solution for the equation.
If D< 0, we have the square root of a negative number, then we have a complex component:
√D = i*R
![x = \frac{-b +- C*i }{2*a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%2B-%20C%2Ai%20%7D%7B2%2Aa%7D)
We have two complex solutions.
If D = 0
√0 = 0
then:
![x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%2B-%200%7D%7B2%2Aa%7D%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
We have only one real solution (or two equal solutions, depending on how you see it)