Answer: None of these
Explanation:
f(g(5)) first let’s find g(5)
We know:
g(x) = x - 2
g(5) = 5 - 2
g(5) = 3
Thus, f(g(5)) = f(3) because g(5) = 3
=> f(3) = 3(3) + 10
=> f(3) = 9 + 10
=> f(3) = 19
Therefore, f(g(5)) = 19
When we factorise an expression, we are looking for simple factors that multiply to get the original expression. Usually it is very natural to factorise something like a quadratic in x. For example:
x^2 + 3x + 2 = (x+1)(x+2)
But there are other situations where factorisation can be applied. Take this quadratic:
x^2 - 9x = x(x-9)
This second example is closer to the question in hand. Just like x was a common factor to both x^2 and -9x, we are looking for a common factor to both 6b and 24bc. The common factor is 6b.
Hence 6b + 24bc = 6b(1 + 4c).
I hope this helps you :)
If x=width, then the equation would be:
x(x+10)=20,000
The length is 10 meters longer than the width(x), so the length is x+10.
To get the area(20,000) you multiply width by length, hence x(x+10).
Hope this helps.
Since
, we know that
follows a Poisson distribution with parameter
.
Now assuming
denote the mean and standard deviation of
, respectively, then we know right away that
and
.
So,
