What we have been given here are two points.
f(3) = -4 is the same as (3, -4)
f(2) = 6 is the same as (2, 6)
We can then use these two points to find the equation of a line.
Step 1: Find the slope
Slope Formula: (y2 - y1) / (x2 - x1)
Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10
Step 2: Find the y-intercept
To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.
Slope-Intercept Form: y = mx + b
Point = (2, 6)
6 = 2(-10) + b
6 = -20 + b
b = 26
Step 3: Create the equation of the line
Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.
y = -10x + 26
Answer: y = -10x + 26
Hope this helps!
Answer:
The guard should be positioned at the safe
Step-by-step explanation:
The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.
The expected value of robbing the safe is:
The expected value of robbing the cash register is:
Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.
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Answer:This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=38+0.11X
Plan II: Y=49+0.07X
When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25
Step-by-step explanation:
Given a point in coordinates form
, one can compute the cartesian form like this:
We have:
We get the cartesian form then:
