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diamong [38]
3 years ago
15

A factory has fixed costs of $1,275 per month. The cost of producing each unit of its product is $2.50. Each unit sells for $10.

Mathematics
2 answers:
True [87]3 years ago
9 0

A factory has fixed costs of $1,275 per month. The cost of producing each unit of its product is $2.50. Each unit sells for $10.

Cost: C(x) = 1275 + 2.5x

Revenue: R(x) = 10x

The break even for the company can be solve by equating the cost and revenue

1275 + 2.5x = 10x

Solving for x = 170, they have their breakeven point when they sell 170 units.

bagirrra123 [75]3 years ago
5 0

Answer:

If the company sells every unit it produces, how many units must it sell in order to break even? 170 units

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m_a_m_a [10]

Beth's speed was 60 mph.

<h3>What is speed?</h3>
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To find what was Beth's speed:

Beth's data:

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Tim's data:

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Equation:

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So,

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  • 3r - 6 = 174
  • 3r = 180
  • r = 60 mph (Beth's rate)
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Therefore, Beth's speed was 60 mph.

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How to inverse this function step by step <br> f(x)=x-3/5
Nitella [24]

f(x)=x3−5

Replace f(x)

with y

.

y=x3−5

Interchange the variables.

x=y3−5

Solve for y

.


Since y

is on the right side of the equation, switch the sides so it is on the left side of the equation.

y3−5=x

Add 5

to both sides of the equation.

y3=5+x

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

y=3√5+x

Solve for y

and replace with f−1(x)

.


Replace the y

with f−1(x)

to show the final answer.

f−1(x)=3√5+x

Set up the composite result function.

f(g(x))

Evaluate f(g(x))

by substituting in the value of g into f

.

(3√5+x)3−5

Simplify each term.


Remove parentheses around 3√5+x

.

f(3√5+x)=3√5+x3−5

Rewrite 3√5+x3

as 5+x

.

f(3√5+x)=5+x−5

Simplify by subtracting numbers.

.

Subtract 5

from 5

.

f(3√5+x)=x+0

Add x

and 0

.

f(3√5+x)=x

Since f(g(x))=x

, f−1(x)=3√5+x is the inverse of f(x)=x3−5

.

f−1(x)=3√5+x

5 0
3 years ago
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