5/15 is the answer simplified is 1/3
Answer:
Step-by-step explanation:
x-intercepts are SOLUTIONS to a quadratic whereas when you put those solutions into factor form (in a set of parenthesis), you have the FACTORS of the quadratic. They are the same thing generally, they are just written in different forms. For example, if a solution to a quadratic is x = 3, it has been understood that x = 3 when y = 0. Therefore, if x - 3 = y and y = 0, then x - 3 = 0. Solving that for x, you get x = 3. That factor of x = 3 is (x - 3).
Following that logic, for a:
If the x intercepts are x = 0 and x = 3, it is understood that x + 0 = 0 so x = 0 and the factor is (x + 0) (it could also be x - 0 since adding 0 is the same as subtracting 0); if x = 3 it is understood that x - 3 = 0 and the factor is (x - 3).
For b:
If the x-intercepts are x = -1 and x = 1, then originally the factors were (x + 1) and (x - 1). Again, set each of those equal to 0 and solve for x (THE X-INTERCEPT EXISTS WHERE Y = 0!)
For c:
If the x-intercepts are x = -5 and x = 10, then originally the factors were (x + 5) and (x - 10).
For d:
If the x-intercept is a fraction, do the same thing:
x = 1/2 so
x - 1/2 = 0 Now multiply both the x and the 1/2 by a 2 to get the factor (2x - 1) and the other factor from x = 4 is (x - 4)
This is the same question as from DINW 220, but I will answer.
This form of the straight line is an equation through the two points and it reads => y-y1= (y2-y1)/(x2-x1) (x-x1), point 1 (-16,8) and poin2 (4, -2) , x1= -16, y1= 8, x2= 4 and y2= -2 =>
y-8 = (-2-8)/(4-(-16)) (x-(-16)) => y-8= -10/(4+16) (x+16) =>
y-8= (-10/20) (x+16) If we simplify fraction (-10/20) we get (-1/2) =>
y-8=(-1/2) (x+16) we will multiply the both sides of the equation with number (2) we get 2y-16= ( -1) (x+16) => 2y-16= -x -16, we will add to the both sides number (+16) => 2y= -x than divide the both sides with number (2) we get y= (-1/2)x where -1/2 is coefficient of direction or (slope) and this linear function have not cut on the y axis, because it goes through a coordinate start ( 0,0) in the decartes coordinate system.
Answer:
-5 or 5
Step-by-step explanation:
The n is in absolute value bars. So n could either be -5 or 5
