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Aleks [24]
3 years ago
11

Given the polynomial 6x3 + 4x2 - 6x - 4, what is the value of the coefficient 'k' in the factored form?

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
7 0
6 x³ + 4 x² - 6 x - 4 = 2 x² ( 3 x + 2 ) - 2 ( 3 x + 2 ) =
= ( 3 x + 2 ) ( 2 x² - 2 ) =
= 2 ( 3 x + 2 ) ( x² - 1 ) =
= 2 ( x + 1 ) ( x - 1 ) ( 3 x + 2 ) 
Answer: k = 1
Taya2010 [7]3 years ago
5 0

6 x³ + 4 x² - 6 x - 4 = 2 x² ( 3 x + 2 ) - 2 ( 3 x + 2 ) =

= ( 3 x + 2 ) ( 2 x² - 2 ) =

= 2 ( 3 x + 2 ) ( x² - 1 ) =

= 2 ( x + 1 ) ( x - 1 ) ( 3 x + 2 )

Answer: k = 1

hope this helps!!!

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Find the surface area of this prism please (no links please)
horsena [70]

Answer:

192 ft^2

Step-by-step explanation:

to find the surface area of a shape, you must find the area of each side and add them together. the base of this shape is a rectangle with a length of 11ft and a height of 3ft; to calculate the area of a rectangle, you multiply the length by the height. 3*11 is 33, so the base of this prism has an area of 33ft^2. since this is a prism, we know that the side parallel to the base are the same shape, so they both have an area of 33ft^2. 33*2= 66. the two other large sides have a height of 4.5 and a length of 11; 4.5*11 is 49.5, there are two shapes with these dimensions, so 49.5*2=99. finally, the two shapes on either end of the prism have a height of 4.5 and a length of 3. 4.5*3= an area of 13.5, two of them, so 13.5*2=27. now you just add all of these numbers together: 66+99+27=192.

4 0
2 years ago
If two events a and b are independent and you know that p(a) = 0.65, what is the value of p(a | b)?
Ksivusya [100]
Let's think of an example which would better help visualize this situation. 

1) Someone exercises a lot so they can concentrate more on their homework (here running and concentration on homework are dependent events)

2) Someone exercises a lot because they wear a blue t-shirt (here, you can clearly see that wearing a blue shirt and exercising are not related. These events are independent).

Now concentrating on P(a | b) = Probability a occurred if b occurred. 

It does not matter if b occurred (just like it didn't matter that the person wore a blue shirt which meant that they exercised) for the outcome a to occur. 

Therefore, probability of P(a | b) = P(a) 

P(a | b) = 0.65 

Hope I helped :)  
5 0
3 years ago
What value of x makes the equation 5 (x-1)-8= -5 +4 (x-2) true?<br> need anwser asap
Mnenie [13.5K]

Answer:

you haft to

Step-by-step explanation:

tgake the 6 and the 1 and divide it by 468. then you have to do 1 + 76 and u get anser. hope you liked anser :)

6 0
3 years ago
Read 2 more answers
A playground has a shape of a rectangle, with two semi-circles on it’s smaller sides as diameters added to its outside. If the s
Liula [17]

Answer:

Area= 1371.72m^2

Perimeter: 251.84m

Step-by-step explanation:

A1=L*W

A1=38*28

A1=1064

A2=3.14*r^2

A2=3.14*196

A2=615.44/2

A2=307.72

A1+A2=1371.72

4 0
3 years ago
The side of a square is 12 feet. What is the area of the square?
saul85 [17]
Area of the square = Length x Length

Area of the square = 12 x 12 
Area of the square = 144 sq ft (Answer D)



---TF---
6 0
3 years ago
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