If the number of concerts held in a city is correlated to the number of local radio channels, what third variable might most likely be responsible for this correlation?
the number of songs played on each channel
the weather conditions of the city
the number of music lovers in the city
the duration of each concert
x = -13 or x = 1
(x+6)^2 is x^2+12x+36
(x+6)^2-49 is x^2+12x-13, looks hard to factor.
but (x+6)^2 - 49 is the difference of two squares, so the factorization is
(x+6+7)(x+6-7) = (x+13)(x-1),
which is factorization of x^2+12x-13.
the expression is zero when either factor is zero, x = -13 or x = 1
check: f(x) = (x+6)^2-49
f(-13) = (-13+6)^2-49 = (-7)^2-49 = 0
f(1) = (1+6)^2-49 = (7)^2-49 = 0
the dog will eat 300 grams
use the formula y^2 - y^1/x^2 - x^1
so, it would be 9-4/-2 - (-6).
this equals to 1.25.
use the formula y=mx+b to find the y intercept.
take a point, (-2, 9) and substitute x and y.
you do inverse operation and add 2.5 to each side of the equation.
your final answer should be y=1.25x+11.5.