Step-by-step explanation:
they're is a neat little trick.
but first of all, "roots" means the 0 solutions of the equation. like
ax² + bx + c = 0
there are 2 solutions for x to make the whole expression equal 0.
these are the "roots".
now to the little trick :
when is a multiplication resulting in 0 ?
when at least one of the factors is 0.
and any quadratic expression can be written as multiplication of 2 factors. like
c(x - a)(x - b) = cx² - cax - cbx + cab
what are the "roots" or 0 points ?
either
c = 0
x - a = 0 | x = a
x - b = 0 | x = b
the leading coefficient = 3.
that means nothing else than c = 3.
root = 1 means (x - 1) is one factor.
root = -5 means (x + 5) is the other factor.
so, we have
3(x - 1)(x + 5) = 3x² + 12x - 15
and the equation is
3x² + 12x - 15 = 0
or
3x² + 12x = 15
Look at where the peak is. So, the greatest number of hours of sunlight would be around 180.
Answer:
Step-by-step explanation:
I think its the second one.
Answer:
We end up with our original number
Step-by-step explanation:
Let x be our number
We increase by 100
increase = old number * 100%
increase = x*1
increase = x
New number = old number + increase
= x+x
=2x
Now we decrease by 50%
decrease = number *50%
= 2x*.5
=x
Final number = new number - decrease
= 2x-x
=x