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Nesterboy [21]
3 years ago
9

Solve x^3+3x^2-23x-20=0

Mathematics
1 answer:
adoni [48]3 years ago
5 0

Hello from MrBillDoesMath!

Answer:

x = 4

x  =  ( -7 + sqrt(29)) /2

x =   ( -7 - sqrt(29)) /2

Discussion:

x^3+3x^2-23x-20 factors as (x - 4) (x^2 + 7 x + 5) so x =4 is one root

The roots of the quadratic factor, x^2 + 7x + 5, can be found using the quadratic formula where a = 1, b = 7, and c = 5

x =  (  -b +\- sqrt(b^2-4ac)) / 2a

x = ( -7 +\- sqrt( 7^2 - 4*1*5) ) / (2*1) =>

x =  ( -7 +\- sqrt (49-20) ) /  2 =>


The "+" root:    ( -7 + sqrt(29)) /2

The "-" root:    ( -7 - sqrt(29)) /2




Regards,  

MrB


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Answer to question one pleaseeeee help !!
Salsk061 [2.6K]
The answer is 19.6 cm^2


you should find the height of the triangle by heron formula: it will be 9.8

so the area is
(9.8 \times 4 ) \div 2= 39.2 \div 2 = 19.6



good luck
8 0
3 years ago
In 25 words or fewer, is this solution reasonable? Why or why not?
Julli [10]

Step-by-step explanation:

This solution is reasonable because equal slopes are parallel and negative reciprocals are perpendicular. Four right angles make up a rectangle, and this fulfills it

7 0
3 years ago
Can the square of an integer be a negative number? Explain.
ivolga24 [154]

Answer: how ever no negative number can really have a square root however it is possile to wokr with a more incluesive set of number so i belive no

Step-by-step explanation:

5 0
3 years ago
Can someone plssss answer these I’m so confused I’m begging u I’l love u foreve
madam [21]

Answer:

22) RT ; angles 2 and 4 are alternate interior angles

23) RT ; angles 1 and 3 are alternate interior angles

24) TV; same-side interior angles (some classes called them consecutive interior angles)

25) RV; same-side interior angles (some classes call them consecutive interior angles)

Step-by-step explanation:

The transversal is the a "line" going through at least 2 others helping to form the angles in question.

22) The line segment going through two line segments that contain angles 2 and 4 is:

RT.

Angles 2 and 4 are alternate interior angles because they happen inside the parallel lines on opposite sides of the transversal at the different intersections of RT and the parallel lines it goes through.

23) The line segment going through at least two line segments that contain angles 1 and 3 is:

RT.

Angles 1 and 3 are alternate interior angles because they happen inside the parallel lines on opposite sides of the transversal at the different intersections of RT and the parallel lines it goes through.

The cool thing about 24 and 25 is that they give you the transversal in the name of the angle.

24) Angles TVR and VTS are being formed by the line segment TV and the parallel line segments that it intersects.  TV is the transversal.

Angles TVR and VTS are same side interior angles because they happen inside the parallel lines on the same side of the transerval at the different intersections of TV and the parallel lines it goes through.

25) Angles SRV and RVT are being formed by the line segment RV and the parallel line segments that it intersects.  RV is the transversal.

Angles SRV and RVT are same side interior angles because they happen inside the parallel lines on the same side of the transerval at the different intersections of RV and the parallel lines it goes through.

7 0
3 years ago
For the following paired data, (1) Calculate the correlation coefficient, r, and (2) at the 0.05 significance level, determine w
expeople1 [14]

Answer:

Linear correlation exists

Step-by-step explanation:

Given the data :

X : | 2 4 5 6

Y : | 6 9 8 10

Using technology to fit the data and obtain the correlation Coefficient of the regression model,

The Correlation Coefficient, r is 0.886

To test if there exists a linear correlation :

Test statistic :

T = r / √(1 - r²) / (n - 2)

n = number of observations

T = 0.886 / √(1 - 0.886²) / (4 - 2)

T = 0.866 / 0.3535845

T = 2.449

Comparing Pvalue with α

If Pvalue < α ; Reject H0

Pvalue = 0.1143

α = 0.05

Pvalue > α ; We reject the null and conclude that linear correlation exists

7 0
3 years ago
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