Use the expression - 8( - 2.5-7).
1 answer:
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Answer:
x-intercept= (3⅓, 0)
y-intercept= (0, 4²⁄₇)
Please see the attached picture for the graph.
Step-by-step explanation:
-9x -7y= -30
Let's simplify the equation by dividing both sides by -1.
9x +7y= 30
x- intercept occurs at y= 0.
When y= 0,
9x +7(0)= 30
9x= 30
x= 30 ÷9
Thus, x- intercept occurs at (3⅓, 0).
y-intercept occurs at x= 0.
When x= 0,
9(0) +7y= 30
7y= 30
y= 30 ÷7
Thus, y- intercept occurs at (0, 4²⁄₇).
_____
To graph the equation, draw the x and y axis on a graph paper. Use an appropriate scale to divide the line into equal parts. Next, plot the points (3⅓, 0) and (0, 4²⁄₇). Then, join the two points with a straight line.
Notes:
- x- intercept is the point at which the graph cuts through the x- axis. In this case, your x- axis is the horizontal line that runs from left to right of your graph paper. In order for a point to be on this horizontal line, look at the y- axis and notice that it sits at y= 0. The same reason applies for why the y- intercept occurs at x= 0. This has to do with the two axis cutting each other at the point (0,0), resulting in the x and y coordinates of 0 for the y and x intercepts respectively.
- Simplifying the equation in the first step is not necessary, but it is a good practice and might reduce carelessness.
Given:
Wang Yong owes the bank $8500. He pays back a fixed amount each month. After 12 months, he still has to pay off $6460.
To Find:
The amount of money he pays the bank every month and how long it will take him to pay off the full debt.
Answer:
Wang Yong pays $170 each month, and doing so, it will take him a total time of 50 months to pay off the full debt.
Step-by-step explanation:
Wang Yong has borrows $8500 according to the question.
Say he pays the bank an amount of x every month, which is fixed. After 12 months, he still has to pay $6460.
In 12 months, he would have paid the bank 12x.
But $6460 is still left out of the original $8500.
This means,
That is, Wang Yong pays the bank $170 every month.
Next, to calculate the amount of time it took Wang Yong to pay back his whole debt, we divide the total sum of money owed to the bank by the amount Wang Yong pays each month.
So, number of months = 8500 ÷ 170 = 50
That is, Wang Yong will pay off his debt 50 months after borrowing the money from the bank, provided he pays back $170 every month.
