How is a 15% discount similar to a 15% decrease? How is 8% sales tax like an 8% increase?

1 answer:

6 0

It is important to remember that a discount is the same as a decrease and a sales tax means an increase. If you remember this, you will easily know how to go about solving the mathematical questions.
A 15% discount is similar to a 15% decrease because a discount means a decrease in price and serves the purpose of a decrease.
An 8% sales tax is like an increase because it means that it is an 8% increase over the original price.

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Use synthetic division to solve (2x^34x^2-35x15)/(x-3). What is the quotient?

victus00 [196]

Answer: quotient is 2x^2 + 10x - 5

Solution:

The first polynomial is miswritten.

The right one is: 2x^3 + 4x^2 - 35x + 15.

So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)

The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.

So, in this case it is:

3 | 2      4    -35    15
   ---------------------------------
    2     10     - 5      0

So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.

I like to show it in this other way:

   | 2     4     -35     15
   |
   |
3 |       +6    +30     -15
--------------------------------
    2     10    - 5         0

Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.

4 0

3 years ago

What is the value of P?

True [87]

Answer:

5P= 2P+21+45 ( sum of two sides is is equal to

the opposite exterior angle)

5P=2P +61

5P-2P=61

3P=61

p= 61÷3

p=2.33333