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3 years ago

HELPP!!! Which expression is equivalent to

Mathematics

1 answer:

abruzzese [7]3 years ago

7 0

Answer:

answer is the first option

Step-by-step explanation:

double checked all and the first one is the correct one

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The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum

wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information: $P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000$ , where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

$\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2$

Equating it to zero we get,

$x^2 + 36x - 6400 = 0$

We use the quadratic formula to find the values of x:

$x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}$ , where a, b and c are coefficients of $x^2, x^1 , x^0$ respectively.

Putting these value we get x = -100, 64

Now, again differentiating

$\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x$

At x = 64, $\displaystyle\frac{d^2(P(x))}{dx^2} < 0$

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0

3 years ago

In the diagram below, A8 is parallel to CD. What is the value of y? Help me

Anna11 [10]

Answer:

C. 108

Step-by-step explanation:

The angles are known as same-side interior angles. They are supplementary angles so their sum is 180°.

$y+72=180\\y+72-72=180-72\\y=108$

4 0

3 years ago

Determine if the ratio or rates are equivalent: 24 points scored in 4 games; 48 points scored in 10 games ASAP ANSWER IT I NEED

koban [17]

Answer:

Step-by-step explanation:

Yes: 24 points/4 games = 6 points per game while 48 points/10 games = 24 points in 5 games.

6 0

3 years ago

Read 2 more answers

After taking 7 quizzes, your average is 77 out of 100. What must your average score be on the next five quizzes to increase your

Anna [14]

Answer:

89.

Step-by-step explanation:

We have been given that after taking 7 quizzes, your average is 77 out of 100. We are asked to find what average score be on the next five quizzes to increase your average to 82.

The total of 12 quizzes to get 82 would be $12\times 82=984$ .

The total scores earned by you in previous 7 quizzes are $7\times 77=539$

The total scores you need to earn on next 5 quizzes would be difference of scores in 12 quizzes and total scores in 7 quizzes as:

$984-539=445$

Now, we will divide total scores on coming 5 quizzes by 5 to find the average as:

$\text{Average score on next 5 quizzes}=\frac{445}{5}$

$\text{Average score on next 5 quizzes}=89$

Therefore, your average score on the next five quizzes should be 89 to increase your average to 82.

8 0

3 years ago

Solve |3x - 4| = 6<br> please help me solve

Radda [10]

Step-by-step explanation:

|3x - 4| = 6

3x-4 = 6 or 3x-4 = -6

3x=6+4 3x=-6+4

3x=10 3x = -2

x= 10/3 x = -2/3

so, x1= 10/3 or x2 = -2/3

5 0

3 years ago