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
Answer:c
Step-by-step explanation:
c
Answer:
54m^2
Step-by-step explanation:
Each square has a equal sides, which is 3m
in order to find the surface area, it's
Formula : Base x height = Area
The total surface area would be all the area's added together
3x3=9cm^2
so each square is 9m^2
there are 6 squares so
9+9+9+9+9+9=54m^2
or you can do 9x6=54m^2
20
the input value in the x column is multiplied by 5 to get the output value in the y column