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Gemiola [76]
3 years ago
12

The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).

Mathematics
2 answers:
kotegsom [21]3 years ago
7 0
The answer should be 1/x-2
jek_recluse [69]3 years ago
3 0

Answer:

x+5+\frac{1}{x-2}

X + 5 + 1/( x - 2)

Step-by-step explanation:

I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!

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Write a polynomial, f(x), with degree 5 that has zeros 1, √2, -√2, √3, -√3.
just olya [345]

The get (x-1)(x-√2)(x+√2)(x-√3)(x+√3).


Expanding, you get x^5-x^4-5x^3+5x^2+6x-6.


3 0
3 years ago
Which equation is that of a circle with a center (7,-1) and radius of 4
Damm [24]

Answer:

htx

Step-by-step explanation:

6 0
3 years ago
Help me please thank you​
Elan Coil [88]

Answer:

23/3

Step-by-step explanation:

They already give you the area of one base, which is great! The volume of a rectangular prism is l · w · h, and they've already done h · l for you.

All you do is multiply the two values you see on screen.

4/3 · 23/ 4

= 23/3

(Since there is a 4 both on top and on the bottom, you can cross them out, instead of multiplying everything across)

I hope this helped!

3 0
3 years ago
A plane flies 450 miles with the wind, and 350 miles against the wind (in the same amount of time). If the wind is blowing at 30
adell [148]

Answer: = 240 mph.

Step-by-step explanation:

Let x = speed of the plane.

t= time taken

As per given, we have

t=\dfrac{450}{x+30}\ \ \ ...(i)\\\\ t=\dfrac{350}{x-30}\ \ \ ...(ii)    [Time = distance / speed]

From (i) and (ii), we get

\dfrac{450}{x+30}=\dfrac{350}{x-30}\\\\\Rightarrow\ 450(x-30)=350(x+30)\\\\\Rightarrow\ 450x-13500=350x+10500\\\\\Rightarrow\ 450x-350x=10500+13500\\\\\Rightarrow\ 100x=24000\\\\\Rightarrow\ x=240

Hence, the speed of the plane = 240 mph.

7 0
3 years ago
Otto's investment portfolio consisted of shares of internet stock and copper stock. During the year, the value of his internet s
oksano4ka [1.4K]

Answer:

44000

Step-by-step explanation:

Let w be the initial value of Otto's internet stock, in dollars. At the beginning of the year, the total value of his portfolio is w+10,000 dollars. At the end of the year, the total value of his portfolio is 1.1w+9,000 dollars. Since increasing by 6% is equivalent to multiplying by 1.06, we have

1.06(w+10,000)=1.1w +9,000

Distributing and collecting terms, we find w=40,000. At the end of the year, his internet stock is worth 40,000* 1.1=44,000 dollars.

*credits: AoPS

3 0
3 years ago
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