Answer:
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Step-by-step explanation:
Let
R = Ralph's age
S = Sara's age
First statement is translated as:
S = 3R
Second statement is translated as:
S + 4 = 2(R + 4)
Use the first equation to be substituted into the second one in terms of R which is the one we are actually going to solve for Ralph's age.
Since S = 3R, then
3R + 4 = 2(R + 4)
3R + 4 = 2R + 8
3R - 2R = 8 - 4
R = 4 years old
Answer: The point (0,0)
This point is also known as the origin
The reason why is because every direct variation equation is of the form y = k*x
where k is some fixed number
If we plugged in x = 0 it leads to y = k*x = k*0 = 0. So (x,y) = (0,0)
Answer:
No solution
Step-by-step explanation:
Let's solve this system using elimination through addition/subtraction. Multiply the second equation by (1/2), which results in the system
y - 4x = 5
4x - y = 8
--------------
0x + 0y = 13. This is NEVER true. This system of equation has NO SOLUTION.
Answer:
B)
B)
D)
Step-by-step explanation:
1. 
The GCF of all the term of the above polynomial is 
, hence we take it outside and form a bracket
The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer
2. 
The GCF of all the term of the above polynomial is 
, hence we take it outside and form a bracket
The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer
3. 
The GCF of all the term of the above polynomial is 
, hence we take it outside and form a bracket
The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer
