Answer: Y = 3/4x + 3
Step-by-step explanation:
If two lines are perpendicular, then the product of the two slopes should be -1.
First change 4x + 3y = 7 to Slope intercept form
(4x - 4x) + 3y = 7 - 4x
3y/3 = 7/3 - 4/3x
Y = -4/3x + 7/3 ( -4/3 is the slope)
Then find the slope of line n
-4/3 x S = -1
(-3/4 x -4/3) x S = -1 x -3/4
S = 3/4
Slope of line n is 3/4
Next find the Y-intercept of line n
Since line n contains (2,3) we can use 3 as the y-intercept of line n
Hence, the equation of line n is Y = 3/4x + 3
Answer:
f(0)=g(0)
Step-by-step explanation:
The problem is asking for where the output (y value) of one function, f(x), matches the output of another function, g(x), otherwise called an intersection. You can see that the two lines intersect at 0 on the x axis in the graph, therefore f(0)=g(0) meaning the outputs of f(x) are the same as g(x) at x value 0.
Speed = distance/time
speed = 38.4 / 6 = 6.4 km per hr
Answer:
#1. 2 and 16
#2. 12
Step-by-step explanation:
The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
<h3>What is the line of best fit?</h3>
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
Let's suppose the equation that models the exponential decline is:
From the data given, we can calculate the value of a and b:
a = 46348587109809610
b = 0.9861
y = 46348587109809610(0.9861)ˣ
Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
Learn more about the line of best fit here:
brainly.com/question/14279419
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