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:
25
Step-by-step explanation:
"y varies inversely with x" means:
y = k / x
where k is a constant.
When x = 5, y = 10.
10 = k / 5
k = 50
y = 50 / x
When x = 2:
y = 50 / 2
y = 25
Answer:
Step-by-step explanation:
G(x) = 0 can never happen.
When x is 0, the answer is 4
When x is 1, the answer is 19.6
When x is 4, the answer is 66.4
According to Wolfram Alpha though, x is equal to -(10/39). If that's not a choice for you, don't worry about it. :)
Step-by-step explanation:
f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)
Combine like terms
5x^2 + 9x -4
f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)
Distribute the negative
(2x^2 + 5x +6) + (-3x^2 -4x + 10)
Combine like terms
-x^2 +x +16
