To solve this, we need to understand Slope Intercept Form (SIF), as well as how to graph a line.
SIF is the standard equation of lines on graphs. It is "y=mx+b" where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is 0.
To find the y-intercept (which we will need to form the equation), we should simply graph the line. This will let us visualize the y-intercept, and overall make it easier to understand.
To graph a line, we should start with the point we have (that being (3, 3)) and follow the slope with rise/run. This means in this case, we will go right 2 for every 1 up, or 2 left for every 1 down.
Below I have attached a graph to help you see how to graph this, which we will get our equation from. The highlighted area is our y-intercept. The red circle shows our original point (3,3), and the blue dots show our slope.
Using the graph, we can see the equation for this line is
y=1/2x+1.5.
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
Step-by-step explanation:
1.s^13
2.g^41
3.b^-1
They are the required answers.
Answer:
We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).
Step-by-step explanation:
For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?
When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.
For this example, I recognize that the power rule of exponents is being used:

So let's apply this rule to the given equation.
(3^5)^4 = (3^4)^5
3^(5*4) = 3^(4*5)
3^20 = 3^20
Now we know both sides of the equation equal 3^20 (or 3486784401).