Answer:
B
Step-by-step explanation:
equation of a line is in the form of y=mx+b where m is the slope and b is the y intercept
slope: -1-2/0-4 = 3/4
y intercept is when x is 0, so y intercept is -1
therefore the equation of this line is y=3/4x-1
The linear function that describes the total cost of a tiny house, based on the number of square feet A is given by:
C = 175A + 1000.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem:
- The house has a fixed cost of $1,000 for the factory equipment, hence the y-intercept is of b = 1000.
- The variable cost is of $175 per square foot, hence the slope is of a = 175.
Then, the equation is given as follows:
C = 175A + 1000.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
34
Step-by-step explanation:
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Answer:
The answer would be B
2.5x = 45
(x) would be the number of dolls, multiplied by how much each doll costs ($2.50) and the product would be how much she has to spend. Hope this helps!
The zeros of a function f(x) are the values of x that cause f(x) to be equal to zero
One of methods to find the zeros of polynomial functions is The Factor Theorem
It is used to analyze polynomial equations. By it we can know that there is a relation between factors and zeros.
let: f(x)=(x−c)q(x)+r(x)
If c is one of the zeros of the function , then the remainder r(x) = f(c) =0
and f(x)=(x−c)q(x)+0 or f(x)=(x−c)q(x)
Notice, written in this form, x – c is a factor of f(x)
the conclusion is: if c is one of the zeros of the function of f(x),
then x−c is a factor of f(x)
And vice versa , if (x−c) is a factor of f(x), then the remainder of the Division Algorithm f(x)=(x−c)q(x)+r(x) is 0. This tells us that c is a zero for the function.
So, we can use the Factor Theorem to completely factor a polynomial of degree n into the product of n factors. Once the polynomial has been completely factored, we can easily determine the zeros of the polynomial.
