Answer:
See attached picture
Step-by-step explanation:
To graph, use y=mx+b as a guide where m is the slope and b is the y-intercept.
y=-3x-4
Start at -4 on the y-axis. Plot a point. This is the y-intercept b. From this point count down 3 units and 1 unit to the right. Plot this point and connect.
y=3/4x +2
Start at 2 on the y-axis. Plot a point. This is the y-intercept b. From this point count up 3 units and 4 units to the right. Plot this point and connect.
Y - 5x = 10 can be written in the slope-intercept form as
y = 5x + 10
The slope-intercept form is y = mx + b, where m = slope, and b = y-intercept.
In this case, the 5 is the slope.
Parallel lines have equal slopes, so the line we need to find also has a slope of 5. Its equation is
y = 5x + b
We need to find what b is.
We can use the given point, (3, 10), in for x and y and solve for b.
10 = 5 * 3 + b
10 = 15 + b
-5 = b
Now that we know that b = -5, we replace b with -5 to get our equation
y = 5x - 5
Answer:
Part A) Barbaroid will be executed
Part B) 75 more globin soldiers
Step-by-step explanation:
The army sizes of ORC leaders are
normally distributed with a mean of 5600 goblin soldiers and a standard deviation of 750 goblin soldiers.
The rule is that, if an Orc Leader shows up with an army of a z-score lower than
-1.5, he is immediately executed.
We want to determine whether Lord Barbaroid, an Orc Leader, who appears with an army of 4400 goblin soldiers,
based on the Orc Rule, will he be executed or not.
We find the z-score corresponding to 4400 using

We substitute x=4400 , the standard deviation and the mean to get:

Since Lord Barbaroid's z-score , -1.6 is less than -1.5 he will be executed.
Part B)
We want to find how many more goblin soldiers Lord Barbaroid have needed in order to NOT be executed and meet that Z-Score.
So we need to find the number of globin soldiers that corresponds to -1.5.




Therefore Barbaroid needed 4475-4400=75 more globin soldiers.
For this case we have the following inequations:
1.5x-1> 6.5
7x + 3 <-25
Clearing x from each one we have:
For 1.5x-1> 6.5:
1.5x> 6.5 + 1
1.5x> 7.5
x> 7.5 / 1.5
x> 5
For 7x + 3 <-25:
7x <-25-3
7x <-28
x <-28/7
x <-4
The solution set is:
(inf, -4) U (5, inf)
Answer:
See attached image