Quadratic functions can be written in three forms. The parameters and are the roots of the function (the x-intercepts of the graph ). Converting a quadratic function to factored form is called factoring. ... The parameter is the y-intercept, while the parameter is the slope of the tangent at 0.
Answer:
125
Step-by-step explanation:
x + y = 5
We need to have x^3 and y^3 in the expression, so cube both sides.
(x + y)^3 = 5^3
Expand the left side.
(x + y)(x + y)^2 = 125
(x + y)(x^2 + 2xy + y^2) = 125
x^3 + 2x^2y + xy^2 + x^2y + 2xy^2 + y^3 = 125
x^3 + 3x^2y + 3xy^2 + y^3 = 125
Now we need to separate x^3 + y^3.
x^3 + y^3 + 3x^2y + 3xy^2 = 125
We need to turn 3x^2y + 3xy^2 into 15xy.
Factor the GCF, 3xy, out of 3x^2y + 3xy^2.
x^3 + y^3 + 3xy(x + y) = 125
We know that x + y = 5, so substitute x + y with 5.
x^3 + y^3 + 3xy(5) = 125
x^3 + y^3 + 15xy = 125
Answer: 125
Answer:
A. 
= 
Step-by-step explanation:
of the students wore shorts.
of the students wore jeans.
Converting the fractions of the students who wore shorts and jeans respectively;
= 0.25
= 0.25
This means that the ratio of students who wore shorts is the same as that of students who wore jeans.
i.e =
