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2 years ago

(x ^ 2 - 1)(x ^ 4 + x ^ 2 + 1)

Mathematics

1 answer:

labwork [276]2 years ago

6 0

Answer:

x^6-1

Step-by-step explanation:

first you simplify the product it should look like this: (x^2)^3-1^3

then you simplify the expression by multiplying the exponents it should look like this: x^6-1^3

then you should raise any power equal 1 it should look like this: x^6-1 and thats your answer

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Given: f(x) = 3x + 2 and g(x) = 2x - 4

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In f(x) = 3x + 2, the x is being represented in the function. So, if we replace the x with the g(x) functions, we get:

f(g(x)) = 3(2x - 4) + 2

f(g(x)) = 6x - 12 + 2

f(g(x)) = 6x - 10

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Which of the following items has the lowest unit price? 4 for $5.00 $1.22 each 6 for $7.44 3 for $3.60

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3 for 3.60 the unit price come out to 1.20

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2 years ago

What is the answer to 5+5(x+4)≤20?

Nata [24]

$5+5\left( x+4 \right) \le 20\\ \\ 5\left\{ 1+\left( x+4 \right) \right\} \le 20\\ \\ \frac { 1 }{ 5 } \cdot 5\left\{ 1+\left( x+4 \right) \right\} \le 20\cdot \frac { 1 }{ 5 }$

$\ \\ 1+\left( x+4 \right) \le 4\\ \\ 1+x+4\le 4\\ \\ x+5\le 4\\ \\ x\le 4-5\\ \\ x\le -1$

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3 years ago

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If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, a

Karolina [17]

Let h = height of the box,
x = side length of the base.

Volume of the box is $V=x^{2} h = 115$ .
So $h = \frac{115}{ x^{2} }$

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
$S = 2( x^{2} + hx + hx) \\ = 2 x^{2} + 4hx \\ = 2 x^{2} + 4( \frac{115}{ x^{2} } )x$
$= 2 x^{2} + \frac{460}{x}$
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

$S' = 4x- \frac{460}{ x^{2} } = 0$
$4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86$
Then $h= \frac{115}{4.86^{2}} = 4.87$
So the box is 4.86 in. wide and 4.87 in. high.

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3 years ago

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The stock of Company A lost 2% today to $46.55. What was the opening price of the stock in the beginning of the day?

cluponka [151]

Answer:

$2327.5

Step-by-step explanation:

The stock of company A lost 2% today .

Let the price of the stock at the beginning of the day be A.

Therefore, a 2% loss of A = $46.55

That’s

2% /100% x A = $46.55

0.02 x A = $46.55

Divide both sides by 0.02

0.02/0.02 x A = $46.55/0.02

A = $2327.5

The price of stock at the beginning of the opening day was $2327.5

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3 years ago