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Answer: No, see explanation below
Step-by-step explanation:
For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.
In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional
Answer:
2n³ - 3n² - 7n + 3
Step-by-step explanation:
Hi there! Don't worry, polynomials seem hard but you will get them with practice.
I am going to show you 2 methods of multiplying polynomials. These methods are universal, or they work with any polynomial multiplication problem:
<h2>Method 1: Distributive Property</h2>This is perhaps the most common method. You distribute 1 value to another or multiply each and every single term.
Let's solve it!
- (n² - 3n + 1)(2n + 3)
- n²(2n + 3) - 3n(2n + 3) + 1(2n + 3)
- n²(2n) + n²(3) - 3n(2n) - 3n(3) + 2n + 3 See how I distributed the values?
- 2n³ + 3n² - 6n² - 9n + 2n + 3
Now, we add up like terms. Like terms should have the same coefficient and should be raised to the same power.
- 2n³ + 3n² - 6n² - 9n + 2n + 3
- 2n³ - 3n² - 7n + 3
There you have it! This is how you solve with The distributive Property Method.
<h2>Method 2: Area Model</h2>This is the next universal method, Area modeling.
Area models can be set up by the number of terms we have. In the first polynomial we have three terms:
- n²
- -3n
- +1
Just for this method, keeping the positive signs helps.
For the binomial, we have two terms (hence, binomial)
- 2n
- +3
We set up our are model like this, with the terms laid out as side lengths of a rectangle. (Attachment "A")
Next, we find the area of each individual tile. (Attachment "B")
Now, we add like terms. Something nice about area models is that most of the time, the like terms are matched up in a diagonal. (Attachment "C")
- 2n³ + 3n² - 6n² - 9n + 2n + 3
- 2n³ - 3n² - 7n + 3
We end up with the same answer as before.
-Chetan K
Answer:
a. The amount Taylor will need to finance is $8,000
b. The amount Taylor pays as interest in one year is $400
Step-by-step explanation:
The given parameters of the financing for the car are;
The cost of the car Taylor plans to purchase, C = $10,000
The amount Taylor has saved to be used as down payment, S = $2,000
The interest rate of the credit Taylor is offered = 5%
The duration given for repayment of the loan = 5 years
a. To purchase the car, the amount Taylor will need to finance, 'P', is given as follows;
P = C - S
∴ P = $10,000 - $2,000 = $8,000
b. The amount of interest on the loan in one year, 'I', is given by the following formula;
Where;
I = The interest payed
P = The principal amount taken as loan = $8,000
R = The interest rate = 5% APR
T = The time period the interest is applied = 1 year
Plugging in the values, we get;
The interest Taylor will pay on the loan in one year, I = $4,00