Answer:
c
Step-by-step explanation:
(x+8)+(x+4)=0
×=-8 and ×= -4
Answer:
(x, y) = (-4, 15)
Step-by-step explanation:
The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.
(3x +y) -(2x +y) = (3) -(7)
x = -4 . . . . . . . . simplify
Now, we can find y by substituting this value for x.
2(-4) +y = 7
y = 7 +8 = 15 . . . . . add 8 to both sides of the equation
The solution is (x, y) = (-4, 15).
Answer:
One possible equation is
, which is equivalent to
.
Step-by-step explanation:
The factor theorem states that if
(where
is a constant) is a root of a function,
would be a factor of that function.
The question states that
and
are
-intercepts of this function. In other words,
and
would both set the value of this quadratic function to
. Thus,
and
would be two roots of this function.
By the factor theorem,
and
would be two factors of this function.
Because the function in this question is quadratic,
and
would be the only two factors of this function. In other words, for some constant
(
):
.
Simplify to obtain:
.
Expand this expression to obtain:
.
(Quadratic functions are polynomials of degree two. If this function has any factor other than
and
, expanding the expression would give a polynomial of degree at least three- not quadratic.)
Every non-zero value of
corresponds to a distinct quadratic function with
-intercepts
and
. For example, with
:
, or equivalently,
.
There are 6 possible outcomes, and 3 favourable events (3 even numbers - 2,4,6)
The probability is
Answer:
2x+39
Step-by-step explanation: