Answer:
g(f(x))=x^2 + 14x + 48
Step-by-step explanation:
you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.
20 has been added to the total of scores, so the new mean for the 20 scores will be 20/20 = 1 higher than it was.
The new population mean is 15+1 = 16.
Answer:
factors are
21 and x
Step-by-step explanation:
equation 9 × 2 + 21x - 18
terms 9 , 2, 21x, -18
factors 21x = 21 and x
The sum of the 2 angles will add up to 180°
Step-by-step explanation:
From the statement:
M: is total to be memorized
A(t): the amount memorized.
The key issue is translate this statement as equation "rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized"
memorizing rate is
.
the amount that is left to be memorized can be expressed as the total minus the amount memorized, that is
.
So we can write

And that would be the differential equation for A(t).