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Archy [21]
3 years ago
12

Factor -7x3 + 21x2 + 3x - 9 by grouping. What is the resulting expression?

Mathematics
1 answer:
irga5000 [103]3 years ago
8 0

Answer:

(x-3)(-7x^2+3) is the resulting expression after grouping

Step-by-step explanation:

Given:

-7x^3+21x^2+3x-9

Now taking common -7x^2 from 1st 2 numbers and and 3 common from last we get

-7x^2(x-3)+3(x-3)

Now taking x-3 common from both numbers we get

(x-3)(-7x^2+3) which is the final equation after grouping

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Left parenthesis 5 plus 2 square root of 6 right parenthesis squared = a plus b square root of 6 then the value of a and b are
Ganezh [65]

Answer:

The values of a and b are 33 and \frac{20\sqrt{3}}{3}, respectively.

Step-by-step explanation:

The statement is equivalent to the following mathematic expression:

\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6} (1)

By definition of the perfect square trinomial:

25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}

33 + 20\sqrt{2} = a + b\cdot \sqrt{6}

And by direct comparison we have the following system:

a = 33 (2)

b\cdot \sqrt{6} = 20\sqrt{2} (3)

By (3), we solve for b:

b = \frac{20}{\sqrt{3}}

b = \frac{20\sqrt{3}}{3}

The values of a and b are 33 and \frac{20\sqrt{3}}{3}, respectively.

6 0
3 years ago
Easy Question, Easy Points<br><br><br>Topic: Volume<br><br><br>Focus on question 12
Sever21 [200]

Answer:

The air is .6m^3

Step-by-step explanation:

The volume of a cube is

V = s^3 where s is the side length

The volume of the tank is

V = 1^3 = 1 m^3

The volume of the water is 1 by 1 by .4

V = l*w*h

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   = .4 m^3

The difference must be filled by air

1- .4 = .6 m^3

The air is .6m^3

3 0
3 years ago
Read 2 more answers
Monty is working on a formula to determine the amount of profit (P) he will make when he sells his pottery. He has already spent
MaRussiya [10]

Answer:

P=5x-50

Step-by-step explanation:

Profit is represented by P.

$5 is what Monty plans to sell each pot for and x represents how many pots he sells.

therefore 5x-50=P

5 0
3 years ago
A mini game cube is covered in different colors and has a side length of 1.8 inches. Which of the following would represent the
svet-max [94.6K]

complete question:

A mini game cube is covered in different  colors and has a side length of 1.8 inches.  Which of the following would represent the  amount of space covered in various colors?

A. 116.64 in2

B. 3.24 in2

C. 19.44 in2

D. 10.8 in2

Answer:

C. 19.44 in2

Step-by-step explanation:

A cube is a 3 dimensional figure bounded by 6 square faces. All the sides of a cube are equal in length. The picture below is a cube. The amount of space covered in different colors will be the surface area of the cube.

surface area = 6L²

where

L = length

L = 1.8 inches

surface area =  6 × 1.8²

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3 years ago
Please help me ill give you the crown thing if its right
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Answer: tbh i think its the third one

Step-by-step explanation:

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