This expression cannot be simplified, as you cannot add or subtract variables raised to different exponents.
Answer:
x = 8/7
Step-by-step explanation:
log (X + 8) = log x + log 8
We know that log a + log b = log ab
log (X + 8) = log 8x
Raise each side to base 10
10^log (X + 8) = 10^log 8x
x+8 = 8x
Subtract x from each side
x+8-x = 8x-x
8 = 7x
Divide by 7
8/7 = 7x/7
8/7 =x
Answer:
(a) 300
(b)100
Step-by-step explanation:
(a) each figure is 100 student and there are 3 figures at Woodbridge so it's 3*100=300
(b) DuBois=3*100=300
Polk=4*100=400
400-300=100
Answer:
h, j2, f, g, j1, i, k, l (ell)
Step-by-step explanation:
The horizontal asymptote is the constant term of the quotient of the numerator and denominator functions. Generally, it it is the coefficient of the ratio of the highest-degree terms (when they have the same degree). It is zero if the denominator has a higher degree (as for function f(x)).
We note there are two functions named j(x). The one appearing second from the top of the list we'll call j1(x); the one third from the bottom we'll call j2(x).
The horizontal asymptotes are ...
- h(x): 16x/(-4x) = -4
- j1(x): 2x^2/x^2 = 2
- i(x): 3x/x = 3
- l(x): 15x/(2x) = 7.5
- g(x): x^2/x^2 = 1
- j2(x): 3x^2/-x^2 = -3
- f(x): 0x^2/(12x^2) = 0
- k(x): 5x^2/x^2 = 5
So, the ordering least-to-greatest is ...
h (-4), j2 (-3), f (0), g (1), j1 (2), i (3), k (5), l (7.5)