Answer:
Part A: Both functions' slopes increase at intervals of four in a positive manner, so they will rise to the right.
Part B: g(x) has a greater y intercept as it is y=3 and f(x) is y=-1
Step-by-step explanation:
Answer:
first one x = 26
second one x = 11.12
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + 10^2 = c^2
676 = c^2
26 = c
a^2 = c^2 - b^2
a^2 = 12^2 - 4.5^2
a^2 = 123.75
a = 11.12
Answer:
0.08, or 8%
Step-by-step explanation:
The appropriate formula is i = p*r*t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.
We want to calculate r when i, p and t are known.
i
Solving i = p*r*t for r, we get r = ------------
p*t
The interest rate in this case is
$1600
r = ---------------- = 0.08, or 8%
$5000*4
The function is shifted to the right 3 units
a shift to the right is subtracted inside the function
g(x) = f(x-3)
Answer:
False
Step-by-step explanation:
Here is a counter example:
● f(x) = x^2
● g(x) = 3x
● (f○g)(x) = (3x)^2 = 9x^2 (1)
● (g○f)(x) = 3(x^2) = 3x^2 (2)
We can see that (1) and (2) aren't equal to each others.