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Travka [436]
3 years ago
11

What is the result of dividing x3−4 by x + 2

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
7 0
The answer would be x2 - 2x + 4 - 12/(x + 2) as the final result. Credits go to web calc
givi [52]3 years ago
4 0

Answer:  The required remainder left after division is -12.

Step-by-step explanation:  Given that the following cubic expression is divided by (x+2) :

f(x)=x^4-4.

We are to find the result after division.

<em><u>Remainder Theorem :</u></em>  If a polynomial p(x) is divided by a linear factor (x-a), then the remainder is p(a).

Therefore, when f(x) is divided by (x+2), then the remainder is given by

f(-2)\\\\=(-2)^3-4\\\\=-8-4\\\\-12.

Thus, the required remainder left after division is -12.

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Solve the equation and enter its solution set below. Enter the solutions in solution set notation separated by a comma and in or
kherson [118]

Answer:

5/6, 7

Step-by-step explanation:

3 0
3 years ago
If you need to put 28.93 gallons of ice cream into just cups, how many cups can you make out of these? Round to a whole number.
docker41 [41]

Answer:

16 cups = 1 gallon

16( 28.93) = 462.88

Therefore, there are 462 cups of ice cream.

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
The surface area for a rectangular prism with a square base is SA=2s2+4sh.
torisob [31]
We know that
[surface area for a rectangular prism with a square base ]=2*s²+4*s*h

2*s²----> Is the surface area of the bases
4*s*h---> is the lateral area
s=2 units
h=4 units

[surface area for a rectangular prism with a square base ]=2*2²+4*2*4
surface area=8+32----> 40 units²

the answer is
40 units²
3 0
3 years ago
Read 2 more answers
Classify each polynomial and determine its degree. The polynomial 3x2 is a with a degree of . The polynomial x2y + 3xy2 + 1 is a
Georgia [21]
For this case we have the following polynomials:
 3x2
 x2y + 3xy2 + 1
 We have then:

 For 3x2:
 Classification: polynomial of one variable:
 Degree: 2

 For x2y + 3xy2 + 1:
 Classification: polynomial of two variables
 Degree: 2 + 1 = 3
 Answer:
 
The polynomial 3x2 is of one variable with a degree of 2.
 
The polynomial x2y + 3xy2 + 1 is of two variables a with a degree of 3.
3 0
3 years ago
Read 2 more answers
(I've been trying to figure this out for 3 days and I really need help)
liq [111]

Check the picture below.

since the diameter of the cone is 6", then its radius is half that or 3", so getting the volume of only the cone, not the top.

1)

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \implies V\approx 37.7

2)

now, the top of it, as you notice in the picture, is a semicircle, whose radius is the same as the cone's, 3.

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=3 \end{cases}\implies V=\cfrac{4\pi (3)^3}{3}\implies V=36\pi \\\\\\ \stackrel{\textit{half of that for a semisphere}}{V=18\pi }\implies V\approx 56.55

3)

well, you'll be serving the cone and top combined, 12π + 18π = 30π or about 94.25 in³.

4)

pretty much the same thing, we get the volume of the cone and its top, add them up.

\bf \stackrel{\textit{cone's volume}}{\cfrac{\pi (3)^2(8)}{3}}~~~~+~~~~\stackrel{\stackrel{\textit{half a sphere}}{\textit{top's volume}}}{\cfrac{4\pi 3^3}{3}\div 2}\implies 24\pi +18\pi \implies 42\pi ~~\approx~~131.95~in^

8 0
3 years ago
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