Answer:
168 ft
Step-by-step explanation:
1. Calculate the total length of the curtains
42 curtains × (48 in/1 curtain) = 2016 in
2. Convert to inches to feet
1 in = ¹/₁₂ ft
2016 in × (¹/₁₂ ft/1 in) = (2016/12) ft = 168 ft
Ariceli will need 168 ft of fabric.
The parts of algebraic expressions related to polynomials are variables and coefficients.
<h3>What are the parts of algebraic expressions?</h3>
The parts of algebraic expressions are;
- Variables which are letters that represent numbers
- Coefficients are numbers that multiply the variables
- Constant is a number that is not multiplied by any variable
Polynomials are algebraic expressions composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, and multiplication
Polynomials consists of variables and coefficients. The variables in polynomials are also called indeterminates. The coefficients also multiply this variables.
Thus, the parts of algebraic expressions related to polynomials are variables and coefficients.
Learn more about algebraic expressions here:
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Answer:
A. The positive y-intercept.
D. The y-intercept is negative.
Step-by-step explanation:
The proportional relationship is defined by the graph passing through the origin i.e. the y-intercept is equal to zero.
The equation of y proportional to x relationship is y = kx, which again denotes that the graph passes through the origin (0,0).
Now, the statements that can describe the graph of a non-proportional relationship are
A. The positive y-intercept.
D. The y-intercept is negative. (Answer)
Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression
Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial 
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:
We do the same with the numerator
We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:
Therefore
Note that 
only if 
So since 
is not included in the domain the function has a discontinuity in
