It helps immensely if you know your times tables.
a) 36 = 6*6 = 2*3*2*3 = 2^2*3^2
b) 45 = 5*9 = 5*3*3 = 3^2*5
c) 2 is not a common factor; 3^2 is a common factor; 5 is not a common factor. The greatest common factor is 3^2 = 9.
d) The least common multiple can be found a couple of ways.
.. 1) the product of the distinct factors to their highest powers
.. .. .. 2^2 * 3^2 * 5 = 180
.. 2) the product of the numbers divided by their greatest common factor.
.. .. .. 36 * 45 / 9 = 180
Answer:
Domain; [-1, 3)
Range; (-5, 4]
Step-by-step explanation:
The domain of a function is defined as the set of x-values for which the given function is real and defined. In order to find the domain of the graphed function, we have to determine the lowest and the highest x-values for which the function is defined. From the graph, the least value of x is -1 while the greatest x value is 3 but the function is not defined at this point. Therefore the domain of the function is;
[-1, 3)
On the other hand, the range refers to the set of y-values for which the function is real and defined. The least y-value from the given graph is -5 while the greatest y -value is 4. Therefore, the range of the graphed function is;
(-5, 4]
Answer:
The correct answer is 21.5
Step-by-step explanation:
First, you set your problem up like this:
-4x+3=2x-6
add 6 to both sides so it looks like this:
-4x+9=2x
add 4x to both sides so it looks like this:
9=6x
divide 6 from both sides so this is your answer:
1.5=x
