20 POINTS Determine if the following is valid or invalid and give the reason why or why not. If you see a leopard then you will want to run. If you want to run, then you will try to run. If you run the leopard will chase you. Mr. Small won't save you if the leopard is not chasing you You are relieved if Mr. Small saves you. therefore If you see a leopard you will be relieved. Question 1 options: Converse Error Law of Syllogism using Contrapositive Law of Detachment Law of Detachment using Contrapositive Inverse Error Law of Syllogism

Invalid/ valid depending on the explanation.

Step-by-step explanation:

This is because using the Law of Syllogism,

P  If you see a leopard then you will want to run.

Q If you want to run, then you will try to run.

R If you run the leopard will chase you.

There is no then and would result in a cause with no effect. Since there is no effect, then Mr.Small wont save you.

However, even if you put aside the way it is written, you can say that it is still invalid due to the law of Syllogism. P --> Q and Q--> R

Each event would lead to another but this phrase

Mr. Small won't save you if the leopard is not chasing you

This doesn't mean that Mr.Small will save you if the leopard chases you.

Unless it says If the leopard is chasing you, then Mr.Small will save you, it won't be valid.

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !