If f(x) = 4x - 20, what is f(4)? O A. -4 оо O B. -12 O c. 4 O D. 16
2 answers:
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Answer:
(x+4)(x+11)
Step-by-step explanation:
x^2+15x+44 is known as a simple quadratic. It is considered "simple" because x^2 is not greater than 1.
To solve quadratics, you need to factorise them (put them into brackets). You can do this by seeing what 2 numbers multiply to give 44, and add to give 15. I have attached a photograph of me breaking down the number 44 into its multiplying factors, and identifying which factors have the sum of 15.
You can see that I have got the numbers 4 and 11.
I now need to put these numbers into 2 sets of brackets. Remember, the two sets of brackets need to multiply to give x^2+15x+44 when calculated using the grid method.
The two brackets that I have got are (x+4)(x+11), and it doesn't matter which way around you write it.
Coefficients, constant doesn't matter in period. only the "argument" or parameters or the angle matters.
if has a period $T$ then $cf(ax+b)+d$ will have period of $\frac Ta$ (nothing matters other than that), $T$ is the fundamental period.
$\sin(x)$ has fundamental period is $2\pi$ so period of $fx)$ will be $\pi$