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12345 [234]
3 years ago
7

Use polynomial long division to rewrite the following fraction in the form q(x)+r(x)d(x), where d(x) is the denominator of the o

riginal fraction, q(x) is the quotient, and r(x) is the remainder.
2x^2+8x-12/x+1
Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Step-by-step explanation:

p(x) = 2x^2+8x-12

d(x) = x + 1

r(x) = -13

q(x) = 2x + 6

\\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  2x +6 \\ x  + 1 \sqrt{ {2x}^{2}  + 8x - 12}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  {2x}^{2}  + 2x \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \frac{  \: -  \:  \:  \:  \:  \:  \:  -  \:  \:  \:  \:  \: }{}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  6x - 12 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 6x + 1 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \frac{ -  \:  \:    -  \:  \:  \:  \:  \: }{}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  - 13

q(x)+r(x)d(x)

= 2x + 6 + (-13) * x + 1

= 2x + 6 -13 * x + 1

= 2x + 6 - 13x + 1

= (- 11x + 7)

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Can u help idk how to write it ?
d1i1m1o1n [39]
You are given Maggie's planning on going to Penn State University. You are also given that she could live there if she has more than $2,000 if she already bought a laptop at $450.

For part A, the inequality that we can form is x ≥ 2,450 because she needs more than $2,000 to survive after buying a $450 dollar worth laptop. Adding the two makes it 2,450.

For part B, if she has to withdraw $30 per week, then the inequality that we can form is x ≥ 2,450 - 30

For part C,
30x ≥ 2,000 
x ≥ 66.67

For part D, the answer 66.67 means that Maggie can have 66 times to withdraw $30 per week worth of food from her balance $2000.

8 0
3 years ago
Suppose the cost of publishing x books is C(x) = 10000 + 25<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormula1" ti
dusya [7]

Answer:

\frac{dC}{dQ} \approx 1.25, C(101)-C(100) = 1.247, \delta = 0.24\,\%

Step-by-step explanation:

The marginal cost function is:

\frac{dC}{dQ} = 12.5\cdot x^{-\frac{1}{2} }

The marginal cost for 100 books is:

\frac{dC}{dQ} \approx 1.25

The difference is:

C(101)-C(100) = 25\cdot (101^{\frac{1}{2} }-100^{\frac{1}{2} })

C(101)-C(100) = 1.247

The relative error is:

\delta = \frac{|1.25-1.247|}{1.25}\times 100\,\%

\delta = 0.24\,\%

6 0
3 years ago
Parker is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcome
lutik1710 [3]

Answer:60

Step-by-step explanation:

4*3*5

7 0
2 years ago
Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21
frozen [14]

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

6 0
3 years ago
In order for you to use the goodnees-of-fit test, the test of independence, or the test of homogeneity, the expected frequencies
nataly862011 [7]

The condition for the expected value in the goodness of fit test is that the expected frequency is at least 5.

According to the statement

we have to find the condition of the expected values in the case of testing of goodness-of-fit test.

So, For this purpose we know that the

The goodness of fit test is of a statistical model describes how well it fits a set of observations. Measures of goodness of fit typically summarize the discrepancy between observed values and the values expected.

So, The main condition of the expected value for the goodness of fit test is

For each​ category, the expected frequency is at least 5.

Without this condition the test is not possible, so overall this the main condition related the goodness of fit test.

So, The condition for the expected value in the goodness of fit test is that the expected frequency is at least 5.

Learn more about goodness of fit test here

brainly.com/question/17257574

#SPJ1

6 0
1 year ago
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