F(x) = 1/(x+2) & g(x) = x/(x-3)
(f(x) + g(x) = 1/(x+2) + x/(x-3). Reduce to same denominator:
1/(x+2) + x/(x-3) =(x-3) + x(x-3)/(x+2).(x-3) ==> (x²+3x-3)/(x+2).(x-3)
Answer:
a = -4.
Step-by-step explanation:
If the are perpendicular then the slope of one graph will be - 1 / slope of the other.
Convert each equation to slope-intercept form:
x + 2y + 3 = 0
2y = = -x - 3
y = (-1/2)x - 3/2 (Slope/intercept form)
So the slope of the line perpendicular to this will be - 1 / (-1/2) = 2.
Consider the other line:
ax + 2y + 3 = 0
2y = -ax - 3
y = (-a/2) x - 3/2 (Slope/intercept form)
So the slope for this line - a/2 and it equals 2.
-a/2 = 2
-a = 2*2 = 4
a = -4 (answer).
Answer:
The solutions to the equation are 
and 
Step-by-step explanation:
The factors of the quadratic function g(x) are (5x – 1) and (x + 4).
This means that:
So
And
The solutions to the equation are and
Answer:
M(5,2)
Step-by-step explanation:
We use the midpoint rule:
We just have to find the arithmetic mean of the x and y-coordinates.
The endpoints of CD are given as C(3,−5) and D(7, 9).
We substitute these values to get:
Therefore the coordinates of the midpoint M of CD are (5,2)
Answer:
2
Step-by-step explanation:
