<span>Open and closed circles are used to mark the end points of intervals.
If the circle is open, it means the end point is NOT included in the interval,
but if the circle is closed, it means the end point is included.
Consider the interval . In this interval, the low endpoint, the 3,
is not included because you have a 'less than' sign. The high endpoint, the 6,
is included because you have a 'less than or equal' sign. It is the presence
or absence of the 'or equal' part that determines whether the circle is closed
or open.
The interval would be marked on the number line with an open
circle at 3, a closed circle at 6, and a heavy line connecting the two.
</span>
You have to make the bottoms numbers the same (15) 3x5=15 5x3=15 so the answer is 8/15
Answer:
-4x^3 + 9x^2+35x -45
Step-by-step explanation:
The notation (f*g)(x) actually just means f(x)*g(x)
We just substitute what f(x) is and what g (x) is
(4x-9) * (-x^2 - 3x + 5 )
4x * -x^2 = -4x^3
4x * -3x = -12x
4x*5 = 20x
-4x^3 + -12x+20x
and
-9 * -x^2 = 9x^2
-9*-3x = 27x
-9*5 = -45
-4x^3 + -12x+20x + 9x^2 + 27x +-45
Now to put this in standard form, we have to order it with the terms with the highest exponents to the ones with the lowest exponents
-4x^3 + 9x^2 -12x+20x+27x -45
-12x+20x+27x
-12x+47x
35x
-4x^3 + 9x^2+35x -45
-45 goes last because it is equal to -45x^0
Answer:
angle 1: 72.5°
angle 2: 107.5°
Step-by-step explanation:
x + y = 180
x - y = 35 ===> x = 35 + y
Substitution to find angle y:
x + y = 180
(35 + y) + y = 180
35 + 2y = 180
2y = 145
y = 72.5
Substitution to find angle x:
x = 35 + y
x = 35 + (72.5)
x = 107.5
