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3 years ago

How do you solve (x3 + 6x2 + 3x + 1 ) ÷ (x - 2)

1 answer:

5 0

We conduct long division, cancelling each term in x³ + 6x² + 3x + 1. As so:

x²(x -2) = x³ - 2x²
Subtracting from the original equation, we get:
8x² + 3x + 1

8x(x - 2) = 8x² - 16x
Subtracting from the new equation, we get:
21x + 1

21(x - 2) = 21x - 42
Subtracting from the new equation, we get:
43

The answer is x² + 8x + 21 with a remainder of 43.

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Find the maximum production level p = 100x^{0.34}y^{0.66} if the total cost of labor (at $72 per unit) and capital (at $40 per u

Anton [14]

Maximum production p=552728

Step-by-step explanation:

The equation for maximum production is : $p=100x^{0.34} y^{0.66}$

The number of units of labor is x @$72

The number of units of capital is y @$40

The total cost of labor and capital is limited to $270,000, this can be written as;

72x+40y ≤ $270,000

Graphing the inequality to find values of x and y ,from the graph;

x=3750 units

y=6750 units

Applying the expression for maximum production

$p=100*x^{0.34}* y^{0.66} \\\\p=100*3750^{0.34} *6750^{0.66} \\\\p=552727.56\\\\p=552728$

Learn More

Inequalities graphs :brainly.com/question/11386040

Keywords: maximum, production,cost, labor,limited to,capital ,unit

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6 0

3 years ago

A man gained rs. 3000 by selling a mobile set allowing 15 % discount on the marked price the loss would be rs. 8000. Find the ma

irinina [24]

Answer:

Marked price is Rs. 53333.33 and the cost price is Rs. 42333.33.

Step-by-step explanation:

Let Rs. x and Rs. y are the cost price and marked price of the mobile set respectively.

Now, the man has a loss of Rs. 8000 after giving a 15% discount on the marked price.

Therefore, 15% of y is 8000 i.e. $8000 = \frac{y\times 15}{100}$

⇒ y = Rs. 53333.33

Now, the man gained Rs. 3000 by selling the mobile set allowing 15% discount on the marked price.

Therefore, the mobile set has the cost price = x = Rs. [(53333.33 - 8000) - 3000] = Rs. 42333.33 (Answer)

3 0

4 years ago

Which equation represents a line with an undefined slope? y = x y = –x y = 0 x = 0

malfutka [58]

Answer:

x=0

Step-by-step explanation: If x=0, then two points on the graph can be (0, 6) and (0,0). using those two points, you can say the slope is 6/0, which is undefined

7 0

3 years ago

Read 2 more answers

If it takes 6.9 pounds of seed to plant one acre of grass , how many acres can be planted with 8.28 pounds of seeds

Vaselesa [24]

There's 1.2 times as much seed, so you can plant 1.2 times more land.

1.2x1=1.2

So you can only plant 1.2 acres.

6 0

3 years ago

What is the median of this set of data?<br> 71, 37, 22, 81, 65, 54, 52, 41, 48, 71

laiz [17]

Answer:

Step-by-step explanation:

FIrst, put the numbers in order from least to greatest:

22, 37, 41, 48, 52, 54, 65, 71,71, 81

When you croos of 4 numbers from the left and 4 from the right. 52 and 54 are the 2 numbers in the middle.

52+54=106

106/2=53

6 0

4 years ago