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3 years ago

Factor the polynomial. 18j4k - 30j75 + 54;3

Mathematics

1 answer:

sukhopar [10]3 years ago

8 0

Answer:

72jk - 2250j + 54.3

Step-by-step explanation:

Multiply the numbers 18 times 4 = 72

72jk - 30 times 75j + 54.3

Multiply 30 and 75 = 2250

72jk - 2250j + 54.3

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The estimated sum of 857 + 234 is

Llana [10]

Answer:

1,091

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2 years ago

I don’t really understand how you figure out the points of a figure on rotation, please explain!

Basile [38]

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2 years ago

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

2 years ago

Viola has a part time job in which she is paid an hourly basis for every hour up through 40 hours. For each hour after 40 hours,

blondinia [14]

Answer:

15.5

Step-by-step explanation:

for every hour we can say that the wage is x

hence we can create an equation:

40x + 160%*x = 644.80

now solve for x

40x + 1.6x = 644.8

41.6x = 644.8

x = 15.5

hourly wage is 15.5

3 0

2 years ago

Read 2 more answers

Henry wants to earn more than $68 trimming trees. He charges $6 per hour and pays $4 in equipment fees. What are the possible nu

nexus9112 [7]

68>6t+4 when ever the number is per something(the 6) you put the variable with it and 4 is the constant

t>16

5 0

3 years ago