Answer:
Step-by-step explanation:
we know that
The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.
we have
15,18 and 25
Decompose the numbers in prime factors
Multiply common and uncommon numbers with their greatest exponent
so
The LCM is equal to
Answer: (a)-
Step-by-step explanation:
Given
Central angle is
The radius of the unit circle is
Arc length is given by
Put the values
Answer:
1. Behavior
The g(x) is large and positive when x is large and positive;
The g(x) is large and negative when x is large and negative.
2. y-intercept= -18
3. The zeros are: -3, -2 and 3
Step-by-step explanation:
1. End behavior:
To find this you have to know the leading coefficient of the variable with the highest degree, and whether the degree is even or odd.
(x + 3) = x positive, coefficient 1
(x + 2) = x positive, coefficient 1
(x − 3)= x positive, coefficient 1
The coefficient is 1*1*1= 1 = positive
There are 3 x, so it will be x^3= odd
The behavior for odd and positive will be:
g(x) is + ∞ when x=>+∞
g(x) is -∞ when x=>-∞
or
The g(x) is large and positive when x is large and positive;
The g(x) is large and negative when x is large and negative.
2. Y-intercept
The y-intercept is the value of y when the graph touches the y-axis. The y-axis is located at x=0, so to find the y-intercept you need to put x=0 on the graph function. Some graphs can have two y-intercepts but the graph on the question only has one. The calculation will be:
y-intercept = g(0)= (0+3)(0+2)(0-3)
y-intercept = 3*2*-3
y-intercept= -18
3. Zeros
The zeros mean the value of x that will result as g(x) as zero. At this coordinate, the graph will touch the x-axis since g(0) is located on the x-axis. That is why this coordinate also called an x-intercept. The function is expressed as the product of three things. If any of them is 0, then the result will be 0. So we have 3 zeros
+3=0
=-3
+2=0
=-2
-3=0
=3
The zeros are: -3, -2 and 3