Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.
4 years ago, the son was:
s-4
So, his father is currently:
3(s-4)
=
3s-12
Therefore:
f = 3s-12
In twelve years, the son will be:
s+12
And the father will be:
f+12
This can also be written as:
3s-12+12 as the fathers younger age would be f = 3s+12
=
3s
So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36
Son’s current age: 36
We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.
2(24)+24 = 72
Father’s current age: 72
2 is the answer to your question
Answer:
B
Step-by-step explanation:
<u><em>I think this is your full question and hope it is correct. </em></u>
<em>Which system of equations could be graphed to solve the equation below?
</em>
<em>log(2x+1)=3x-2
</em>
<em>A. y1=3x, y2=2x
</em>
<em>B. y1=log(2x+1), y2=3x-2
</em>
<em>C. y1=log2x+1, y2=3x-2
</em>
<em>D. y1=log(2x+1+2), y2=3x</em>
My answer:
We know that: log(2x+1)=3x-2 and they are a equation of log and linear so we need to make system of equation.
The left side is: 
=> 
The right side is : 
The system of equations are:
Now we have two new function with x and y.
<em />
Call that number x.
Then rewrite as equation:
4x+6=7x
solve for x
6=3x
2=x
So the number is 2.
Check that 2 is the number by following the original wording, mentally.
Answer:
1071.61
Step-by-step explanation:
That's how much
