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zalisa [80]
3 years ago
14

Determine the quotient and the remainder in the division (4x^4 - 1 ) ÷ x + 1

Mathematics
1 answer:
EastWind [94]3 years ago
7 0

(4x^4-1)÷x+1

(256x-1)÷x+1

256-1+1

256

The first step shows the problem

The second step powers 4x 4 times

The third step removes x

The 4th step shows the problem after x is removed.

The 5th step is the answer: 256

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Well I think it is 3.14
3 0
3 years ago
Find the distance between the two points.<br> (-6, – 7), (0,0)
Elden [556K]

Answer:

√85

Step-by-step explanation:

for this, you will probably need to draw a graph. Plot the points, and then you will notice that you can draw a triangle with one side being the x-axis ( go on to (-6,0) then drop down unitll you hit the point (-6;-7)

// use the pythagoream theorem to find the length

the distance of the leg on the x-axis is 6  (calculate 0-(-6))

the distance of the leg that is dropping down is -7 (calculate 0-(-7))

then we have 2 legs and need to find the hypotenuse.

Pythagorean theorem a^2 + b^2 = c^2

substitute :

6^2 + 7^2 = c^2

36+49 = 85

c= √85

8 0
3 years ago
What is the domain of the function y = 2 StartRoot x minus 5 EndRoot?
Juli2301 [7.4K]

Answer:

The domain of the function should be:

'x greater than or equal to negative -5'.

Hence, option A is true.

Step-by-step explanation:

Given the expression

2\sqrt{x-5}

The domain of a function is the set of input or arguments for which the function is real and defined

We know that the value, inside the radicand, is the number found inside a radical symbol which must be greater than 0, otherwise, it would make the function undefined,

i.e.

x-5 ≥ 0

x ≥ 5

In other words, the domain of the function should be:

'x greater than or equal to negative -5'.

Therefore, the domain of the function:

x ≥ 5

\mathrm{Domain\:of\:}\:2\sqrt{x-5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:5\:\\ \:\mathrm{Interval\:Notation:}&\:[5,\:\infty \:)\end{bmatrix}

Hence, option A is true.

3 0
3 years ago
Read 2 more answers
Find the value of this expression if x = -2.<br>x^2 – 8/x + 6​
xz_007 [3.2K]

Answer:

-1

Step-by-step explanation:

x^2 – 8

-----------

x + 6​

Let x = -2

(-2)^2 – 8

-----------

-2 + 6​

Exponents first

4 – 8

-----------

-2 + 6​

Then complete the numerator and denominator

-4

-----

4

Then divide

-1

5 0
3 years ago
Read 2 more answers
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