There are different ways to solve a quadratic equation, the main ones that i'm thinking about right now are:
1) factor the equation as a product:
ex: x^2+ 4x + 3 =0
(x+3) (x+1) = 0
x=-3 and x=-1 are the solutions.
To find (x+p) and (x+q) you have to think that (p+q )have to be equal to the number that is multiplied by x, in my example it was 4 (3+1=4), (p times q) have to be equal to the last number of the quadratic equation, the one that is not multiplied by any x, that in my example is 3 (3 x 1= 3)
2) The other way to solve a quadratic function is by using a formula:
given: ax^2 +bx +c=0
x= (-b +/- <span>√(b^2 -</span> 4ac)) / 2a
ex: 3x^2 + 4x -2=0
x= (-4 +/- √16-4(3)(-2)) / 6= (-4 +/- √16+24)/6= (-4 +/- <span>√40) / 6
now there are 2 possibilities: x= (-4+</span><span>√40) /6
and
x= (-4 - </span><span>√40) / 6
I hope the examples were clear enough also if i did't get very nice numbers. Look closely to the sings + and -, they are very important</span>
Answer:
1/8
Step-by-step explanation:
Answer: 25.13
lmk if you need the answer to be explained
If it increases at 3.9% a month, then in a year it increases 46.8%.
This is because a year has 12 months and so take 3.9(12)=46.8
The "constant of proportionality" is the value that relates the two amounts<span>Example: you are paid $20 an hour (continued)<span>The constant of proportionality is 20 because:</span></span><span><span>Earnings = 20 × Hours worked</span></span>
<span><span />This can be written: y = kx</span>
<span><span>Where k is the constant of proportionality
</span></span>