Part A: The slope of the linear function, f(x), equals 8, while the slope of g(x) = 3x - 2 equals 3.
--- Steps ---
Linear Function:
y2 - y1 -1 + 9
---------- = ---------- = 8
x2 - x2 0 + 1
g(x) = 3x - 2
Slope Intercept Form ~ y=mx+b
m is the slope, so in this equation, the slope is 3.
Part B: The function g(x) = 3x - 2 has a greater y intercept.
How to find the y intercepts:
g(x) = 3x - 2
The y intercept here is 2 because in slope intercept form, m is the slope and b is the y intercept: y =mx+b
F(x) table of values:
The y intercept here is -1. I found my answer by plotting all of the points on a coordinate grid. When you plot (0, -1), you will see that there is a spot where the line hits the y axis. That point is called the y intercept. So your y - value is -1, making the y intercept -1 also.
I hope this helps you out.
Answer:
X = (18, 0 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
(
,
)
let the coordinates of X be (x, y ) then equate to the coordinates of midpoint
= 8 ( multiply both sides by 2 )
x - 2 = 16 ( add 2 to both sides )
x = 18
and
= - 2 ( multiply both sides by 2 )
y - 4 = - 4 ( add 4 to both sides )
y = 0
coordinates of X = (18, 0 )
Step 1: Problem
There is a class with 6 women and 12 men. a) If I randomly pick 5 students, with replacement. What is the probability that at least 4 of them will be man? b) If I randomly pick 6 students, what is the probability that at least one of them will be a man?
Step 2: Concept
50+87=137 total earned points
40+30=70 total lost points
137-70= 67 total ending points.
Jose’s final score is 67 points