Inverse property (addition)
Answer: 4/7
This is a fraction
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The two points are (x1,y1) = (2,3) and (x2,y2) = (9,7)
Which breaks down to these four facts
x1=2
y1=3
x2=9
y2=7
Plug those values into the slope formula below and simplify
m = (y2 - y1)/(x2 - x1)
m = (7 - 3)/(9 - 2)
m = 4/7
The slope is 4/7
Side Note: slope = rise/run = 4/7 so rise = 4 and run = 7. Meaning that each time we go up 4, we also go to the right 7
Solve this by factorising like this:
F(x)= x^2-5x+6
= (x-2)(x-5)
X= 2 or x= 5
So the axis of symmetry is 3.5 ( got this by dividing 2 and 5 in the middle on the number line or you can call it cetacean plane
Mark as brainleast plzzz
Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.