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4 years ago

Solve 2x^3-5x^2-11x-4=0

Mathematics

1 answer:

topjm [15]4 years ago

7 0

A graphical calculator shows solutions to be
x = {-1, -0.5, 4}

The factorization will be
.. (2x+1)(x +1)(x -4) = 0

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A bank balance is more than $35. Julia wants to write an inequality for the bank balance. Which inequality symbol should she use

Aleks04 [339]

X>35 meaning that it is greater than

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2 years ago

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Which equation has the solutions x = -3 ± √3i/2 ?

Maurinko [17]

Answer:Answer is option C : [ $x^{2}$ + 3x + 3 ] =0

Note: None of options matches with given question.

instead of "-3" , there should be "- $\frac{3}{2}$ ".

Step-by-step explanation:

Note: None of options matches with given question.

instead of "-3" , there should be " $\frac{3}{2}$ ".

Here, First thing you have to observe the nature of roots.

∴ x = - $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i and x = - $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$

∴ [ x+( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i) ][ x+( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ]=0

∴ [ $x^{2}$ + x( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i)+ x( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i) + ( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i)( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ]=0

∴ [ $x^{2}$ + $\frac{3}{2}$ x + $\frac{\sqrt{3}}{2}$ ix + $\frac{3}{2}$ x - $\frac{\sqrt{3}}{2}$ ix + (3- $\frac{\sqrt{3}}{2}$ i)(3+ $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + ( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i)( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ - ( $\frac{\sqrt{3}}{2}$ i)( $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ - ( $\frac{3}{4}$ ) $i^{2}$ ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ + ( $\frac{3}{4}$ ) ] =0

∴ [ $x^{2}$ + 3x + $\frac{12}{4}$ ] =0

∴ [ $x^{2}$ + 3x + 3 ] =0

Thus, Answer is option C : [ $x^{2}$ + 3x + 3 ] =0

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4 years ago

During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were record

SpyIntel [72]

Part 1: Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)

Part 2:

H0:

Ha:

Part 3: The test statistic is given as 3.0081.

Part 4: The p-value is given as 0.39037

Step-by-step explanation:

As per the data

Part 2

H0:

Ha:

Part 3

As per the sample is of 300 homes, the expected values are given as

ABC=p(ABC)*300=0.30*300=90

CBS=p(CBS)*300=0.27*300=81

NBC=p(NBC)*300=0.26*300=78

IND=p(IND)*300=0.17*300=51

Now the values actually are given as

ABC=94

CBS=71

NBC=88

IND=47

So the test static is given as

So the test statistic is given as 3.0081.

Part 4

Now the degree of freedoms are given as 4-1=3

and chi square is given as 3.0081 so for α = 0.05 , the p-value is given as 0.39037

Part 1.

As the value of p in part 4 is greater than the value of α = 0.05, thus Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)

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3 years ago

The equation a=640s gives the relationship between s square miles and acres. Pam owns 7.5 square miles of farmland. How many acr

zhenek [66]

640 acres / 1 mi^2

7.5 mi^2 (640 acres / 1 mi^2) 

= 4,800 acres

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3 years ago

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HELP ME HELP ME PLEASE

lina2011 [118]

Answer:

11126

Step-by-step explanation:

The mean of a set of data is another name for its average. It is the sum of the data, divided by the number of numbers in the sum.

If you use a calculator to help you with the computation of the addition or division, you may as well use the calculator's "mean" function to do the job.

The mean of the given 6 values is their sum, divided by 6. The units of the mean are the same as those of the contributors.

(1117 +1409 +675 +536 +1398 +1621)/6 = 6756/6 = 1126 . . . . degrees F

The mean of the data is 1126 °F.

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2 years ago

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