Let's call this number x.
35 < x > 45.
So if you add the 2 numbers you get 5. So there's.......
41 and well.... that's it? It must be the answer! The answer is 45.
Answer:
An equation that represents the line is:
y = 3/4x - 9/2
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the attached graph of a line.
Taking two points from the line, such as
Determining the slope between (2, -3) and (0, 6)
refine
substituting m = 3/4 and the point (2, -3) in the slope-intercept form of the line equation
y = mx + b
subtract 3/2 from both sides
now substituting b = -9/2 and m = 3/4 in the slope-intercept form of the line equation
y = mx + b
y = 3/4x + (-9/2)
Therefore, an equation that represents the line is:
y = 3/4x - 9/2
Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
Answer:
B. y = -5x -2
Step-by-step explanation:
Fill in the given values in the form ...
y = (slope)x + (y-intercept)
y = -5x +(-2)
y = -5x -2 . . . . simplify; matches choice B
