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perlamaria01
07.01.2021 •
Mathematics
B. Identify the kind of algebraic expression and determine the degree, variables
and constant
Constant
Variables
Degree
Algebraic Expression
Type/kind
1. 7x + 4x3 - 17
2. 3abc2 + a2bc2-abc + 2
3. x + 2x2 - 6x3 + 9x4 +1
4. 3xyz2 + 12
5. 14
can u help me I'm from Philippines
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Ответ:
9514 1404 393
see the attachment
Step-by-step explanation:
There are no roots, fractional powers, or denominators containing variables, so each of these expressions is the sum of multiples of products of variables to integer powers. (One is a constant.) That makes each expression a polynomial. Some polynomials can be further classified by their degree.
The degree is the highest sum of powers of the variables in the terms. For example, the term a^2·b·c^2 has variables with powers 2, 1, and 2. The sum of those powers is 2+1+2 = 5, so this is a term of degree 5.
A constant is a term with no variables.
__
It is customary in algebra problems to use variables that are a single lower-case letter. Sometimes, a variable may be represented by a letter in uppercase, or in a special font or language (usually Greek). Sometimes, it may be a word or phrase. Here, we assume each variable is one letter, so xyz is the product of three variables.
Perhaps the table below answers the questions you are asking about these expressions.
Ответ:
2nd Option is correct.
Step-by-step explanation:
Given:
Renata has $20 in gift card.
She bought 16 songs.
After purchase Balance in gift card = $0
⇒ Cost of 16 songs = $20
⇒ Cost of 1 song = 20/16 = $ 1.25
let x represent number of songs purchased and y represent balance on her gift card.
So, Cost of x songs = 1.25 × x = 1.25x
And Balance = 20 - 1.25 x
Thus, Required equation representing relationship between balance on gift card and number of song purchased.
y = 20 - 1.25x
1.25x + y = 20
If we multiply both sides of equation with 4, we get
5x + 4y = 80
Therefore, 2nd Option is correct.