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Likurg_2 [28]
3 years ago
11

The RideEm Bicycles factory can produce 100 bicycles in a day at a total cost of $10,900, and it can produce 120 bicycles in a d

ay at a total cost of $11,700. (a) Find a linear function that models the total cost for RideEm to produce x bicycles.
Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

Answer:

c(x) = 40 (x) + $6,900

Step-by-step explanation:

According to the scenario, given data are as follows,

Total cost of 100 bicycles (x1) = $10,900

Total cost of 120 bicycles (x2) = $11,700

Let Number of bicycles = X

Than cost of X bicycles = c(X)

let, fixed cost be F and variables cost be V, than

c(X) = V(X) + F

So, we can calculate variable cost by using following method,

V = c(x2) - c(x1) ÷ ( x2 - x1)

= ( $11,700 - $10,900) ÷ ( 120 - 100)

= $800 ÷ 20

= $40

So, calculate fixed cast by putting value to equation,

$10,900 = ($40 ×100) + F

F = $10,900 - $4,000 = $6,900

So, For x number of bicycles, cost equation will be,

c(x) = 40 (x) + $6,900

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Anna11 [10]
The answer is no (all you do it plug in the point that correspond with the x and y, in the equation
5 0
3 years ago
Copy the expressions which are polynomials. Give reasons why the remaining are
kupik [55]

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p    (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.

8 0
3 years ago
Help right now please.
Hoochie [10]

I solved and the mean is 10

6 0
3 years ago
Read 2 more answers
I need help with now please help
Zinaida [17]
I am pretty sure it is 120 or 30
6 0
3 years ago
Use Euler’s Formula to find the missing number. Faces: 8 Edges: _____ Vertices: 6
taurus [48]

Answer:

The number of edges is E=12

Step-by-step explanation:

we know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

so

V- E + F = 2

In this problem we have

F=8, V=6

substitute and solve for E

6- E + 8 = 2

E=6 + 8 -2=12

7 0
3 years ago
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