Answer:
f(x) = -5x + 16
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y + 5x = 16
Step 2: Put into slope-intercept form
- Subtract 5x on both sides; y = -5x + 16
Step 3: Rewrite in function notation
f(x) = -5x + 16
Answer:
Step-by-step explanation:
For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And 
is the probability of X happening.
In this problem.
5 names are selected, so 
A success is a name being non-authentic. 40% of the names are non-authentic, so 
.
We have to find 
Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:
So
Answer:
1) convert these words into 2 equations:
x+y=6
y=x+4
1) for the first equation graph by intercepts:
x intercept: x+0=6
x=6
y intercept: 0+y=6
y=6
hence put point (0,6) and (6,0) on the graph
2nd equation:
graph by slope intercept: go to (0,4) on the graph. go up one and over one to the right. You should end up at (1,5)
so graph (0,4) and (1,5)
hope this helps
Answer:
k ≈ 1.88
Step-by-step explanation:
In order for the function to be continuous, the pieces of the function must have the same value at x=3. That is ...
f(3) = 3(3) +k = k(3^2) -6
15 = 8k . . . . . add 6-k, simplify
k = 15/8 = 1.875 ≈ 1.88
To two decimal places, the value of k that makes f(x) continuous at x=3 is 1.88.
