Answer:
B. The functions f(x) and g(x) are reflections over the y-axis.
Step-by-step explanation:
From the information given the table appears as;
x f(x)=2^x g(x)=0.5^x
2 4 0.25
1 2 0.5
0 1 1
-1 0.5 2
-2 0.25 4
Plotting the two graphs to view the trends;
In the graph of f(x)=2^x against x you notice a curve with increasing positive slope.
In the graph of g(x)=0.5^x against x you notice a curve with a negative slope that is increasing.
In combining both graphs you notice that f(x) and g(x) are reflections over the y-axis.
Correct answer is ;The functions f(x) and g(x) are reflections over the y-axis.
Answer:
use Pythagoras theorem
the missing side is base
Step-by-step explanation:
pythagoras theorem
h^2 = p^2 + b^2
73^2 = 48^2 + b^2
5329 = 2304 + b^2
5329 - 2304 = b^2
3025 = b^2
√3025 = b
55 = b
Answer: yes, it is
Step-by-step explanation:
A number is divisible by 6 if it is divisible by 2 and 3 simultaniously.
n = k(k+1)(k-1)
If k-1 is a multiple of 3, n is divisible by 3, so one of the requirements is ok.
Now, if k-1 is a multiple of 3, it can be even or odd.
if k-1 is even, then it is divisible by 2 and as it is divisible by 3 as well, n is divisible by 6
if k-1 is odd, then k and k+1 is even, hence, divisible by 2.
As n = k(k+1)(k-1), n is also divisible by 6.
Answer:
The compound interest one is better by about 14 bucks.
Step-by-step explanation:
Simple interest:
500(1+.06*10)=800
Compound interest:
500(1+.05)¹⁰=814.45
Answer:
53/100
Step-by-step explanation: