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2 years ago

9. Determine if x + 1 is a factor of x ^ 4 - 4x ^ 2 - 4x - 1 Justify your answer.

Mathematics

1 answer:

Elden [556K]2 years ago

5 0

Answer:

Step-by-step explanation:

x + 1 is not a factor of the polynomial because the remainder is 2 and not 0

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George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th

FromTheMoon [43]

We are given the equations:

5 x + 11 y = 49 --> eqtn 1

u = 3 x^2 + 6 y^2 --> eqtn 2

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

y = (49 – 5x) / 11 --> eqtn 3

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

Answer:

George will choose some of each commodity but more y than x.

7 0

3 years ago

I have a riddle for you I have 31 82,400,060 tens and 100 hundreds

klasskru [66]

Answer: 31824010600

Step-by-step explanation: 3182400060 tens and 100 hundreds = 31824010600.

7 0

3 years ago

What is the volume of this solid? A. 1104 B. 132 C. 96 D. 276

statuscvo [17]

For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:

The volume of the prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}$ : It is the area of the base

h: It's the height

Substituting: $V = 6 * 6 * 6\\V = 216 \ units ^ 3$

The volume of the pyramid is given by:

$V = \frac {1} {3} * L ^ 2 * h$

Where:

$L ^ 2:$ It is the area of the base

h: It's the height

Substituting:

$V = \frac {1} {3} * 6 ^ 2 * 5\\V = \frac {1} {3} * 36 * 5\\V = 60units ^ 3$

We add and we have:

$V = 276 \ units ^ 3$

ANswer:

Option D

6 0

3 years ago

Joe flipped a coin 100 times. It landed heads

gayaneshka [121]

Answer:

48%

Step-by-step explanation:

48 out of 100 = 48%

6 0

3 years ago

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REDRAGON bad product lol

AfilCa [17]

Answer:

thanks for the points

Step-by-step explanation:

have a nice day ahead

8 0

2 years ago

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