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Aleks04 [339]
3 years ago
10

NOTE -- THIS QUESTION HAS BEEN ANSWERED ALREADY!!!

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

Answer:

The cubic polynomial is: x³ - x² - 6x.

Step-by-step explanation:

Given the degree and the roots of the polynomial we can find it.

An n - degree polynomial has n roots.

Here, given that the degree of the polynomial is 3 and three roots are given. Also, if (x - a) is a factor of a polynomial then x = a is a root of the polynomial. The converse is also true.

Since, the roots of the polynomial are given to -2, 0, 3 then it should have had the following factors.

(x + 2)(x - 0)(x - 3) = 0

Multiplying them we get:

⇒ $ (x^2 + 2x)(x - 3) $

$ = x^3 - 3x^2 + 2x^2 - 6x $

$ = x^3 - x^2 - 6x $ which is the required cubic polynomial.

Hence, the answer.

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2,776,714 rounded to the greatest place value is?How many zeros are in the rounded number?The estimated speed of light using a p
olga_2 [115]

Answer:

One third of 24

Step-by-step explanation:

because 3 is a whole number smaller than 4 so the answer would be 3/24 not 4/16.  

8 0
2 years ago
Find the percent of decrease from 340 to 260. Round to the nearest tenth of a percent if necessary.
Marina CMI [18]

To get the solution, we are looking for, we need to point out what we know.


1. We assume, that the number 340 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 340, so we can write it down as 100%=340.

4. We know, that x% equals 260 of the output value, so we can write it down as x%=260.

5. Now we have two simple equations:

1) 100%=340

2) x%=260

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=340/260

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for 260 is what percent of 340


100%/x%=340/260

(100/x)*x=(340/260)*x - we multiply both sides of the equation by x

100=1.30769230769*x - we divide both sides of the equation by (1.30769230769) to get x

100/1.30769230769=x

76.4705882353=x

x=76.4705882353


now we have:

260 is 76.4705882353% of 340

8 0
2 years ago
Read 2 more answers
Find the area of the irregular shape. Round to the nearest tenth.
svp [43]
Given: 
Irregular Shape: 
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Area of a rectangle = l * w
Area of a semi-circle = (π r²)/2

Area of rectangle = 8 cm * 5 cm = 40cm²
Area of a semi-circle = (3.14 (4²))/2 = (3.14*16)/2 = 50.24/2 = 25.12cm²
4² is taken from diameter of 8cm divided by 2 to get the radius.

Total area = 40 cm² + 25.12 cm² = 65.12 cm²
3 0
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The 12 boys in the class make up 15% of the class. What is the total number of students in the class?
alina1380 [7]

Answer:

80 students

Step-by-step explanation:

12/80 is 0.15 or 15%

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How would you find "b" in the y=mx+b equation? I have the "m" but I cannot find the "b" ​
ira [324]
B is just simply the y intercept
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