PART A:
Finding the slope of the function f(x)
Choose any two pairs of coordinate from the table; (-1, -15) and (0, -10)
Let (-1, -15) be (x₁, y₁) and (0, -10) be (x₂, y₂)
Slope =
Slope of f(x) = 5
The function g(x) is given in the straight line equation form
Where, is the slope and is the y-intercept
Slope of g(x) = 2
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g(x) = 2x + 8
Where, the slope (m) = 2 and the y-intercept (c) = 8
The y-intercept of g(x) is 8
for f(x), we can read the y-intercept when x = 0.
From the table, when x = 0, y = -10
The y-intercept of f(x) is -10
Function g(x) has higher y-intercept
Answer:
y=8x+5
Step-by-step explanation:
Please see attached picture for full solution.
I assume that you are trying to find for the equation of the line.
First, substitute the value of the slope given into m in the equation.
Then substitute the coordinates into x and y to find the y-intercept.
Answer:
option-C
Step-by-step explanation:
We are given
At 9:00 a.m., a wind speed of 20 miles per hour was recorded
So, initial wind speed =20 miles per hour
Each measurement showed an increase in wind speed of 3 miles per hour
The strongest wind was recorded at 4:00 p.m
so,
top wind speed = initial wind speed + ( total number of hours between 9:00 am and 4:00 pm)*(change in wind speed)
top wind speed = 20 mph+(16-9)*3

miles per hour
Since, change in wind speed and initial wind speed are constant
but the number of hours it took for the wind speed to reach its minimum for the day can be changed
so, most important variables is
the number of hours it took for the wind speed to reach its minimum for the day can be changed
Answer:

Step-by-step explanation:
Given


Required
The area of the shaded sector
This is calculated as:

This gives




The answer is 24/35. i would tell you to simplify but it is already in its simpliest form.