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Given equation: A(n - 3) +8= bn.
Solution: On the left side of the equation we have A(n-3).
We don't have any sign in between A and parenthesis (n-3).
So, we need to multiply A and (n-3).
We need to apply distributive property to multiply A and (n-3).
Distributing A over (n-3), we get
A(n-3) = A*n - 3*A = An -3A.
Substituting this value in original equation,
An -3A +8= bn.
We need to solve it for n, so we get n terms on a side.
We have An on left side, we need to get rid n from left side.
Subtracting An from both sides, we get
An -3A +8-An= bn-An.
-3A +8 = bn - An.
We can see n is a common factor on rigth side in bn-an.
Factoring out n on right side from bn-an.
-3A +8 = (b - A)n.
Dividing both sides by (b-A),
On right (b-A) paranthiss cancelled and we get n on right side.
Final answer.
So, that would be our final answer
n = (-3A+8)/(b-A)
It's C) -3/4
If you need the steps let me know. (:
If you need the steps let me know. (:
Question:
Which scenario best matches the linear relationship expressed in the equation y = –14x + 1,700?
1) Kent has $1,700 in his bank account and spends $14 each week.
2) Kent has $1,700 in his bank account and deposits $14 each week.
3) Kent had $1,700 in his bank account and deposited another $14.
4) Kent has $14 in his bank account and spent $1,700.
Answer:
Option 1) Kent has $1,700 in his bank account and spends $14 each week.
Step-by-step explanation:
Let x denote the number of weeks.
Option 1: Kent has $1,700 in his bank account and -14x as the negative sign denotes how much amount he spend each week.
Thus, Option 1 is the correct answer.
Option 2: Kent has $1,700 in his bank account and deposits $14 each week.
Writing it as equation, we have, which is not the expressed linear equation.
Hence, Option 2 is not the correct answer.
Option 3: Kent had $1,700 in his bank account and deposited another $14.
Writing it as equation, we have, which is not the expressed linear equation.
Hence, Option 3 is not the correct answer.
Option 4: Kent has $14 in his bank account and spent $1,700.
Writing it as equation, we have, which is not the expressed linear equation.
Hence, Option 4 is not the correct answer.
Thus, the scenario that matches the linear equation relationship expressed in the equation is Option 1.
The answer is Kent has $1,700 in his bank account and spends $14 each week.