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2 years ago

Find the value of the expression

Mathematics

1 answer:

Cloud [144]2 years ago

6 0

The value of expression is 41

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Jeff is four years less than twice his nephew's

ira [324]

Answer:

His nephew would be 11.

Step-by-step explanation:

First, you should model the word problem into an equation. This gives you the equation 18=2x-4. Then, you add 4 to both sides of the equation, getting 22=2x. Then, you divide both sides by two, which equals 11, which shows that his nephew is 11 years old. Hope this helped!

8 0

3 years ago

Read 2 more answers

Is y = 0.860x + 3.302 a linear function?

gulaghasi [49]

Answer:

yes

Step-by-step explanation:

Yes. The given function has the form y = mx + b, which is that of a linear function. Here the slope, m, is 0.860, and the y-intercept is 3.302.

8 0

2 years ago

Story Problem

Agata [3.3K]

Answer:

41.15

Step-by-step explanation:

41.15

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2 years ago

If C ( x ) = 11000 + 500 x − 3.6 x 2 + 0.004 x 3 is the cost function and p ( x ) = 1700 − 9 x is the demand function, find the

Bess [88]

Answer:

Step-by-step explanation:

The cost function = C(x)

The demand function = P(x)

C(x) = 11000 + 500x - 3.6x^2 + + 0.004x^3

P(x) = 1700 - 9x

Differentiate C(x) with respect to x

C'(x) = 500 - 7.2x + 0.012x^2

C'(x) is the marginal cost

Revenue = x. P(x)

R(x) = x( 1700 -9x)

= 1700x - 9x^2

Differentiate R(x) with respect to x

R'(x) = 1700 - 18x

R'(x) is the marginal revenue

Profit is maximized when R'(x) = C'(x)

1700 - 18x = 500 - 7.2x + 0.012x^2

Collect like terms

0 = 500 - 1700 - 7.2x +18x +0.012x^2

0 = -1200 + 10.8x +0.012x^2

0 = 0.012x^2 + 10.8x - 1200

Using x=( -b +_ √b^2 - 4ac) /2a

a = 0.012 , b= 10.8 , c= -1200

x= (-10.8 +_ √(10.8^2) - 4*0.012*(-1200)) /2*0.012

= ( -10.8 +_√116.64 + 57.6) / 0.024

= (-10.8 +_ √174.24) / 0.024

= (-10.8 +_13.2) / 0.024

= (-10.8+13.2)/0.024 or (-10.8 - 13.2)/0.024

= 2.4/0.024 or -24/0.024

x= 100 or -1000

Since our profit cannot be negative, the profit = $100

5 0

2 years ago

Swamp gas consists primarily of methane, a chemical compound consisting of a 1 : 4 ratio of carbon to hydrogen atoms. If a sampl

Alchen [17]

Answer:

Number of carbon atoms present in the sample are 391.

Step-by-step explanation:

We are given that,

Ratio of carbon to hydrogen atoms = 1 : 4

It is given that a sample of methane consists of 1564 hydrogen atoms.

Let the carbon atoms in the sample = x

So, we have the relation,

$\frac{Carbon}{Hydrogen}=\frac{1}{4}=\frac{x}{1564}$

i.e. $\frac{1}{4}=\frac{x}{1564}$

i.e. $x=\frac{1564}{4}}$

i.e. x= 391

Hence, the number of carbon atoms present in the sample are 391.

4 0

3 years ago