Functions cannot have different values of y for the same value of x. Now let us check each case one at a time.
<u>First Case:</u> For the same value of x=-1, y has two different values of 7 and 1, which is not allowed in a function. Therefore, the first case is not a function.
<u>Second Case:</u> For the same value of x=-1, y has two different values of -5 and 1, which is not allowed in a function. Therefore, the second case is not a function.
<u>Third Case:</u> For the same value of x=3, y has two different values of 2 and 4, which is not allowed in a function. Therefore, third case is not a function.
<u>Fourth Case:</u> In this case no value of x is same. So, this is a function.
Some key definitions:
<u>Reflexive property:</u> angles, line segments, shapes are congruent to themselves. Its easier to think of a shape: if you have a circle, then this circle is equal to itself.
<u>Symmetric property:</u> you can interchange the equal signs of an equation. So think of a=b is the same as b=a, its just the same thing written in a different order.
<u>Transitive property:</u> If a=b, and b=c, then a=c. Basically think of it as a=b=c, all of these variables are the same as each other.
So for the first clue, you have the reflexive property.
The second clue is the symmetric property.
The third clue is the transitive property.
Hi!
Let's write the equation in number form first.
7 over 8
7/8
minus 1
7/8 - 1
over x
7/8 - 1/x
equals 3
7/8 - 1/x = 3
over 4
7/8 - 1/x = 3/4
Now to find the value, let's put each option as the value for x.
A. x = 1
7/8 - 1/1 = 3/4
7/8 - 1 = 3/4
0.875 - 1 = 0.75
-0.125 = 0.75
This is wrong.
B. x = 2
7/8 - 1/2 = 3/4
7/8 - 0.5 = 3/4
0.875 - 0.5 = 0.75
0.375 = 0.75
This is wrong.
C. x = 4
7/8 - 1/4 = 3/4
7/8 - 0.25 = 3/4
0.875 - 0.25 = 0.75
0.625 = 0.75
This is wrong.
D. x = 8
7/8 - 1/8 = 3/4
7/8 - 0.125 = 3/4
0.875 - 0.125 = 0.75
0.75 = 0.75
This is correct!
The answer is d. x = 8
Hope this helps! :)
-Peredhel
Answer:
la longitud del poste es ... creo que 60? No soy bueno con los medidores, pero espero que esto ayude.
Answer:
Step-by-step explanation:
to solve this system of equations we will add them
x-3y=-12
2x+3y=3 now +3y-3y=0
3x=-12+3
3x=-9
x=-3
plug in the first equation
-3-3y=-12
-3y=-12+3
-3y=-9
y=3