A) f(x) is decreasing because the base is less than 1.
0.56 is close to 0.5, so its like saying that you are taking half each time, therefore the value is getting smaller.
g(x) is increasing because the base is greater than 1.
you are multiplying by 4 each time, making the value bigger.
B ) The y-intercept is where x=0.
Anything to the '0' power is 1. Therefore the y-intercept is equal to the coefficient in front of each function.
f(x) = 3 , g(x) = 6
C) Just plug in x=4 to each function in a calculator.
f(4) = 0.295
g(4) = 1536
Distribute the 1/4:
1/4(16x) + 1/4(20) - 7x
Do the multiplication:
1/4(16x) = 16x/4 = 4x
1/4 (20) = 20/4 = 5
Now you have:
4x + 5 - 7x = 0
Combine like terms (4x and -7x):
-3x + 5 = 0
Subtract 5 from both sides:
-3x = -5
Divide by -3:
x = -5/-3 = 5/3
Answer:
x= 5/3
Answer:
Mean = 1.9
Standard deviation = 0.6
Step-by-step explanation:
The Mean is calculate by the formula:

⇒ 
Thus Mean to the nearest tenth is 1.9
Standard Deviation is the square root of sum of square of the distance of observation from the mean.
where,
is mean of the distribution.
Putting all values in the formula, We get
Standard Deviation = 0.597 ≈ 0.6
Answer:
real numbers: all
rational: all but pi
Integers: 20,-9
Whole, 20,-9, radical 16
Natural: 20
Irrational: pi
Step-by-step explanation: