<h2>HOW TO: SOLVE AN APPLICATION</h2>
Step 1. Identify what you are asked to find and choose a variable to represent it.
Step 2. Write a sentence that gives the information to find it.
Step 3. Translate the sentence into an equation.
Step 4. Solve the equation using good algebra techniques.
Step 5. Check the answer in the problem and make sure it makes sense.
Step 6. Write a complete sentence that answers the question.
Remember that whatever the application, once we write the sentence with the given information (Step 2), we can translate it to a percent equation and then solve it.
Do you pay a tax when you shop in your city or state? In many parts of the United States, sales tax is added to the purchase price of an item. See Figure 6.7. The sales tax is determined by computing a percent of the purchase price.
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.
First you simplify both sides of the equation to make v+-41/9=-3/4.
Then add -41/9 to both sides to get the answer which is 137/36
v=137/36
Answer:
The rug should be 15 ft wide and 28 ft long.
Step-by-step explanation:
I have attached a figure that represents the situation.
The the rug is
by
, the width of the strip of floor is
.
We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that
<em>(this says the area of the rug must be 420 square feet)</em>
From the figure we see that


Therefore,

We expand this equation and get:

using the quadratic equation we get two solutions:

since the second solution, namely
, is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take
to be our solution.
Now we find the dimensions of the rug:

The rug is 15 ft wide and 28 ft long.
Answer:
C and D
Step-by-step explanation:
The quadratic formula is
x= (-b±√b²-4ac)/2a
The formula uses the numerical coefficients in the quadratic equation.
The general quadratic equation is ax²+bx+c where a, b and c are the numerical coefficients
So, lets try and see;
A.

But due to the fact that in this equation you have x⁴, the equation is not a quadratic equation thus can not be solved using this formula
B

C

D.

From the checking above, the equations will be C and D