Find x when y = 5 in the literal equation 4x + 7y = 51
2 answers:
Hey there!
All that you need to do for this problem is plug in 5 where you see "y" in your given equation. The term 7y indicates that you will be multiplying 7 and the y value together, so you'll multiply 7 by 5 to get the value of that whole term.
Now, just solve for x. You can do this by combining like terms and simplifying your equation as much as possible. Remember that addition cancels out subtraction and division cancels out multiplication and vice versa. What you do to one side is something you must do to the other side.
The value of x will be 4 if y is equal to 5.
Hope this helped you out! :-)
All that you need to do for this problem is plug in 5 where you see "y" in your given equation. The term 7y indicates that you will be multiplying 7 and the y value together, so you'll multiply 7 by 5 to get the value of that whole term.
Now, just solve for x. You can do this by combining like terms and simplifying your equation as much as possible. Remember that addition cancels out subtraction and division cancels out multiplication and vice versa. What you do to one side is something you must do to the other side.
The value of x will be 4 if y is equal to 5.
Hope this helped you out! :-)
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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.
Answer:
The exponential model is .
Step-by-step explanation:
The exponential model can be modelled by the following mathematical expression:
(1)
Where:
- Independent variable.
- Dependent variable.
- Coefficients.
If we know that and
, then we get the following system of equations:
(2)
(3)
If we divide (3) by (2), we calculate the value of :
And by (2), we determine the value of :
The exponential model is .