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3 years ago

Find the break-Even point for the following fuctions c(x)=10x and r(x)=210-4x

Mathematics

1 answer:

AlekseyPX3 years ago

4 0

Answer: The break-even point is x = 15

Step-by-step explanation:

We have the equations:

c(x) = 10*x

r(x) = 210 - 4*x

I suppose that c(x) is the cost equation, and r(x) is the revenue equation.

"break-even" means that you don't lose nor win anything, then the difference between the revenue and the cost is 0.

Then we need to solve:

r(x) - c(x) = 0

(210 - 4*x) - (10*x) = 0

210 - 4*x - 10*x = 0

210 - 14*x = 0

210 = 14*x

210/14 = x

This means that for x = 15, you break even.

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Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels. Part A: Wri

Oduvanchick [21]

Answer: The equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy is $0.9x+3=x$

x= Weight of candy in pounds

0.9x = Weight of milk chocolate.

Step-by-step explanation:

Given, Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels.

Let x= Weight of candy in pounds

Then, 0.9x = Weight of milk chocolate.

Then, According to the question

$0.9x+3=x\\\\\Rightarrow\ x-0.9x=3\\\\\Rightarrow\ 0.1x=3\\\\\Rightarrow\ x=\dfrac{3}{0.1}=30$

So, Weight of milk chocolate. = $0.9\times30=27$

Hence, the equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy is $0.9x+3=x$

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4 years ago

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Alexus [3.1K]

Answer:

Step-by-step explanation:

Add all the numbers then divide by numbers of numbers their are

91+91+91+97+65+37+41+76+ 87= 676

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Step-by-step explanation:

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4 years ago

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djyliett [7]

Answer:

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Step-by-step explanation:

Formulae:

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m = slope
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y₁ = first y-value
x₂ = second x-value
x₁ = first x-value

Point-slope form: $y-y_1=m(x-x_1)$

y₁ = first y-value
m = slope
x₁ = first x-value

Slope-intercept form: $y=mx+b$

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b = y-intercept value

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$m=\frac{-1-5}{1-(-2)}\\m=\frac{-6}{3}\\m=-2$

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3 years ago

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zhannawk [14.2K]

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4 years ago