All categories

4 years ago

-4 2/3= 2n/3 + 1/3 + n/3 solve for n multi step equation

Mathematics

1 answer:

Serggg [28]4 years ago

4 0

Answer:

n=−43/3

Step-by-step explanation:

−42/3=2n/3+1/3+n/3

−14=2/3n+1/3+1/3n

−14=(2/3n+1/3n)+(1/3)

−14=n+1/3

Flip the equation.

n+1/3=−14

Subtract 1/3 from both sides.

n+1/3−1/3=−14−1/3

n=−43/3

You might be interested in

When a commodity is sold for x dollars per item, the number of items sold is f(x). The item costs 5 dollars to make. The item co

valkas [14]

Answer:

The answer is below

Step-by-step explanation:

When a commodity is sold for x dollars per item, the number of items sold is f(x). The item costs 3 dollars to make. (For all of the below, the answer has been partially filled in. Do these problems on paper then simplify your answer until it can be used to fill in what is below. Leave no box blank)

(a)Express the total profit P in terms of x (the answer has been partially filled in for you). P = _______*f(x)

(b)What is the rate of change of the total profit as x changes? (Do this on paper then fill in the below. Leave neither box blank) ______*f(x) + _______*f '(x)

(c)If 3000 items sell when the price is 45 dollars and if the number of items that are sold decreases by 600 for every 1 dollar increase in price, find the rate of change of the profit when the item price is 45 dollars. _____________

Solution:

The cost of producing the items is the total expenses of production while the revenue is the amount of money generated from selling the item.

a) Cost = cost of producing one item * number of items produced

Cost = $3 * f(x) = 3f(x)

Revenue = selling price of one item * number of items produced

Revenue = x * f(x) = xf(x)

Profit = Revenue - Cost = xf(x) - 3f(x)

Profit = (x - 3)f(x)

b) P' = d/dx(xf(x) - 3f(x) )

P' = f(x) + xf'(x) - f'(x)

P' = f(x) + (x - 1) f'(x)

c) Given that f(x) = 3000, x = $45, f'(x) = -600 items / 1$

Substituting gives:

P' = 3000 + (45 - 1)(-600)

P' = 3000 + 26400

P' = 29400

7 0

3 years ago

Give an example of: degree of a polynomial is the highest sum of one of its terms, explain.

yuradex [85]

Example 1 Perform the indicated operation for each of the following.

<span>(a) </span>Add to

<span>(b) </span>Subtract

Solution

(a) Add to .

The first thing that we should do is actually write down the operation that we are being asked to do.

In this case the parenthesis are not required since we are adding the two polynomials. They are there simply to make clear the operation that we are performing. To add two polynomials all that we do is combine like terms. This means that for each term with the same exponent we will add or subtract the coefficient of that term.

In this case this is,

[Return to Problems]

(b) Subtract from .

Again, let’s write down the operation we are doing here. We will also need to be very careful with the order that we write things down in. Here is the operation

TAZZ WAZ HEA :)

8 0

4 years ago

Two events A and B are _______ if the occurrence of one does not affect the probability of the occurrence of the other.

igomit [66]

Answer:

Independent

Step-by-step explanation:

From the word independent, which means being able ot stand alone, that is the absence or presence of one has no impact on the outcome of each phenomenon. Two events A and B are said to be independent, if the occurence of one has no bearing on the probability or chance that B will occur. This means that each event occurs without reliance on the occurence of the other. This is different from mutually exclusive event whereby event A has direct bearing in the probability of the occurence of event B.

7 0

3 years ago

If the amount of air in a spherical balloon is 288 pi cu. in.,

vivado [14]

The balloon assumes the shape of a sphere with a formula of the volume equal to V = 4/3 pi r^3 where r is the radius of the balloon. In this case, we are given with volume of 288 pi in^3. We just substitute the given volume such that the resulting radius that answers the problem is 6 inches.

3 0

3 years ago

Read 2 more answers

Billy received a raise after his first year on the job to $45,000 from his initial salary of $42,400. What was his real raise st

solong [7]

Billy get 5.9% raise after completing first year.

<h3>What is PERCENTAGE?</h3>

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Here, Billy's initial salary = $ 42,500

After raise, salary become $ 45,000

Change in salary = Raised salary - Initial salary

= 45000 - 42500

= $ 2500

% Change = change / initial salary X 100

= 2500 / 42500 X 100

= 0.0589 X 100

≈ 5.9 %

Thus, Billy get 5.9% raise after completing first year.

Learn more about Percentage from:

brainly.com/question/14979505

#SPJ1

7 0

2 years ago