The slope-intercept form:
m - slope
b - y-intercept
The formula of a slope:
We have the points (-3, 1) and (2, -4). Substitute:
Therefore we have the equation of a line
Put the coordinates of the point (-3, 1) to the equation:
<em>subtract 3 from both sides</em>
<h3>Answer: y = -x - 2</h3>
Answer:
X = 0.6
Step-by-step explanation:
5/2X + 2 = 3.5
subtract 2 from each side
5/2X = 1.5
change 5/2X to 2.5X
2.5X = 1.5
divide both side by 2.5
X = 1.5/2.5
X = 0.6
Answer:
f(x) = 4(2/3)ˣ represents exponential decay.
Hence, option D is the correct function.
Step-by-step explanation:
The function of the form
where and
is called the exponential decay function.
If we replace base 'b' by 1 - r, then we get the decay function of the form
y = abˣ
where 0 < b < 1
- <em>Please note that an exponential function cannot have a base of 0, 1, or a negative value.</em>
Now, if we carefully observe, the function f(x) = 4(2/3)ˣ is the only option correct as
f(x) = 4(2/3)ˣ
here 0 < b < 1 and a > 0
Therefore, f(x) = 4(2/3)ˣ represents exponential decay.
Hence, option D is the correct function.