Answer:
B. Ethan is correct because all proportional relationships form a straight line and go through the origin and linear functions are linear, but they don’t all go through the origin so they are not always proportional.
Step-by-step explanation:
So a proportional relationship is just a special kind of linear relationship, i.e., all proportional relationships are linear relationships (although not all linear relationships are proportional).
Solution :
It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :
1. 
2. 
Now consider,
⇒ 
⇒ 
⇒ 
⇒ 
= 0.2
Therefore, the value of T is 0.2
Thus, option (c) is correct.
Use Subtraction
1. Subtract
x+2y=7
3x-2y=-3
-------------
4x+0y=4 SIMPLIFY 4x=4
2. DIVIDE
4x=4
x=1
Substitute that into either of the original equations to get x=1, y=3
Answer:
( - 6 , - 1 )
Step-by-step explanation:
Let's find the rule of that transformation:
1 + = 4 ⇒ = 3
9 + = 10 ⇒ = 1
Thus, the rule of given transformation is ( x + 3 , y + 1 )
So, the image of the point ( - 9 , - 2 ) is
( - 9 + 3 , - 2 + 1 ) = ( - 6 , - 1 )
Answer:
Elgas is 35.
Step-by-step explanation:
Let's set up an equation.
Alvin is 7 years younger than Elgas.
A = E - 7
The sum of their ages is 63.
A + E = 63
Let's use substitution.
Plug in the first equation of A into the second equation.
A + E = 63
(E - 7) + E = 63
Combine like terms.
2E - 7 = 63
Add 7 to both sides.
2E = 70
Divide both sides by 2.
E = 35
Elgas is 35.
Hope this helps!
