Recall that an equation in slope-intercept form is as follows:
where m is the slope of the line, and (0,b) is the y-intercept.
Substituting m=-6, and b=-1/2 we get:
Simplifying the above result we get:
Answer:
Answer:
Step-by-step explanation:
The problem statement tells us ...
8x = y +3
7x = y -4
Subtracting the second equation from the first gives ...
x = 7
Then ...
y = 7x +4 = 7·7 +4 = 53
There are 7 people, and 53 coins are required for purchase.
Answer: His checking account balance is $2,800.
Step-by-step explanation: What Hayden is doing is comparing his assets against his liabilities. This will determine his net worth. His assets ideally are those that increase his net worth such as landed properties, etc while his liabilities in the simplest language are those debts he is paying off either right away, or that he must pay off eventually.
In other words, to determine his net worth, Hayden has to add up all his assets and from the total derived, deduct his liabilities.
Consider the calculations below;
NET WORTH: $17,550
Add ASSETS
Automobile 13600
Retirement Account 6700
Checking Account XX
Less LIABILITIES
Student Loan 4800
Credit card debt 750
Net Worth <u>17550</u>
The above table can be simplified as follows;
Net worth = Assets - Liabilities
17550 = 20300 + XX - 5550
Collecting like terms, you now have;
17550 -20300 +5550 = XX
2800 = XX
The Checking Account represented by XX is now calculated as $2,800
Answer: It will take 4 seconds for the rock to hit the water.
Step-by-step explanation:
Given : Benjamin threw a rock straight up from a cliff that was 48 ft above the water.
If the height of the rock h, in feet, after t seconds is given by the equation
To find : Time taken for the rock to hit the water.
When rock hit the water height becomes zero , i.e. put h = 0 , we get
Divide equation by 2 , we get
The Laue of x for ax²+bx+c =0 is 
So , 
Since t cannot be negative , so t= 4
Hence, it will take 4 seconds for the rock to hit the water.
