Answer: 
solution set of f(x) = g(x) is x∈{0,1}
Step-by-step explanation:
For all exponential functions b^x, 
b^0 is always 1, and b^1 is always b.
f(x) = -3/4 x + 2
g(x) = (1/4)^x + 1 
g(0) = 2, f(0) = 2
g(1) = 5/4, f(1) = 5/4
 
        
             
        
        
        
The equation for surface area is: 

. To get r, you must use Pythagorean theorem. r is found to be 45. This means after you plug it in, you get about 
13571.68
 
        
        
        
Y = 3x + 4
y = -x - 4
3x + 4 = -x - 4
3x + x = -4 - 4
4x = -8
x = -8/4
x = -2
y = 3x + 4
y = 3(-2) + 4
y = -6 + 4
y = -2
solution is (-2,-2) <==
        
             
        
        
        
Answer:
S44.10
Step-by-step explanation:
20% of 52 is 41.6
6% of 41.6 is 2.49600 US$ which rounds to 2.50
2.50+41.6=44.1
$44.10
 
        
             
        
        
        
Answer:
4.4
Step-by-step explanation:
The sum of the probabilities of all possible outcomes is 1.
As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.
Create a probability distribution table for X, where X is the score on the loaded 8-sided die:

Add a product row and a totals column:

(The Product is row is the product of the <u>score on the die</u> and <u>its probability</u>).
The expected value (EV) is the sum of the product of each outcome and its probability.  
Therefore, the expected value (EV) of this die is 44/10 = 4.4