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Talja [164]
3 years ago
11

Which is the quadratic variation equation for the relationship?

Mathematics
1 answer:
MakcuM [25]3 years ago
3 0
Y=x2, 72=(6x6), 72=36, 72-36=36. The answer is d. 72=2(6x6)
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The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the
omeli [17]
Given:

The volume of the rectangular prism is 

b^{3}+8 b^{2} +19b+12,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be (mb^{2}+nb+k)

 
2

b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)


notice that  b^{3} is the product of the largest 2 terms: mb^{2} and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)


(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12

== b^{3}+(n+3)b^{2}+(3n+4)b+12


4
now compare the coefficient with the left side:

8 b^{2}=(n+3)b^{2}

8=n+3

n=5


substituting n=5: 

the base area is b^{2}+5b+4

Answer: b^{2}+5b+4


3 0
3 years ago
I NEED HELP FASTT!!! PLEASE
AysviL [449]

Answer:

5

Step-by-step explanation:

8x - 6 > 12 + 2x

Subtract 2x from each

8x -2x -6 > 12+2x-2x

6x -6 > 12

Add 6 to each side

6x -6+6 > 12+6

6x > 18

Divide by 6

6x/6 > 18/6

x > 3

The only value greater than 3 is 5

4 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (5, 2) and (3,-1)?
oksano4ka [1.4K]
Slope = -4/5

to calculate the slope m use the gradient form

m = y2 -y1
————
x2 - x1


let (x1, y1) = (3,1) and (x2, y2) = (-2, 5)


m = 5 - 1 4
———- = ——-
-2 - 3 -5


= - 4/5
3 0
2 years ago
What is the value of 3ab+ 50-6 when a=-1 and b=3?<br> оо<br> O 6<br> 18<br> o o<br> O 24
Readme [11.4K]

Answer:

0

Step-by-step explanation:

3ab + 5b - 6 when a = -1 and b is 3

→ First substitute a and b into 3ab

3 × -1 × 3 = -9

→ Substitute b into 5b

5 × 3 = 15

→ Connect all the terms together

-9 + 15 - 6

→ Simplify

0

4 0
3 years ago
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What is the answer to this question
liraira [26]

Answer:

the answer is z=63

Step-by-step explanation:

6 0
2 years ago
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