The graph of function f(x) and g(x) is parallel lines separated by 1 unit.
In this question we have been given two functions f(x) = - 3x + 4 and g(x) = f(x) + 1
We need to graph these functions and then describe the graph.
The graph of given functions is as shown below.
The graph of function f(x) is a straight line with slope -3 and y-intercept 4.
The function g(x) is nothing but but function f(x) translated upward by 1 unit.
The graph of function g(x) is also a straight line with slope -3 and y-intercept 5.
Therefore, the graph of function f(x) and g(x) is parallel lines separated by 1 unit.
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Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:
The formula for calculating the equation of line in point - slope form is given as :
where m is the slope
Given from the question :
m = - 4
= 2
= 6
Substituting into the formula , we have :
Therefore :
(a) the equation of the line in point - slope form is
(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give :
(c) the equation of line in standard form is ;
Answer:
y = x - 3
Step-by-step explanation:
Answer: 
Step-by-step explanation:
We know that the general form of the exponential decay formula is
, where y is final amount remaining after t time, A is the original amount and r is the rate of decay
Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. 
Hence, the ratio of remaining since the nuclear accident is
