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ankoles [38]
4 years ago
6

Factor x3-2x2-9x+18 completely if(x+3) is a factor

Mathematics
2 answers:
Charra [1.4K]4 years ago
6 0

Factor x^3 -2x^2-9x+18

= x^2(x - 2) - 9(x - 2)

= (x^2 - 9)(x -2)

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

So (x+3) is a factor


Phoenix [80]4 years ago
3 0

Dividing:-

x + 3) x^3 - 2x^2 - 9x + 18 {  x^2 - 5x + 6

        x^3 + 3x^2

       ----------------

              -5x^2 - 9x

              -5x^2 - 15x

              ----------------

                           6x  + 18

                            6x + 18

                            .............

The quotient is x^2 - 5x + 6

which is  (x - 3)(x - 2)

So the factors of the original expression

= (x + 3)(x - 3)(x - 2)   answer

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A satellite orbits the Earth at a height of 343 kilometers. If the satellite makes 8 revolutions around the Earth, how many kilo
Olegator [25]

The number of kilometres travelled by the satellite in discuss in which case, the satellite makes 8 revolutions around the earth is; C = 177,271.8 km.

<h3>What is the distance in kilometres covered by the satellite after 8 revolutions?</h3>

Given from the task content, the earth's diameter is; 6371 km and since, the height at which the satellite orbits the earth is; 343km, it follows that the diameter of orbit if the satellite in discuss is;

D = 6371 + (343)×2

Hence, we have; diameter, D = 7057 km.

Hence, the distance travelled after 8 revolutions is;

C = 8 × πd

C = 8 × 3.14 × 7057

C = 177,271.8 km.

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4 0
1 year ago
You go out to eat with your family. The subtotal on your bill is $45.90. You must pay a 8% sales tax AND you would like to leave
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The answer is 57.83

Step-by-step explanation:

find 8% of 45.90 and add 18% of 45.90 and add them together.

8%*45.90=3.67

18%*45.90=8.26

Add, 45.90+8.26+3.67

The final price of your meal is 57.83

7 0
4 years ago
Matrices X and Y both measure 2x2 and are inverses of each other. Which matrix represents their product?
Karolina [17]

Answer:

When a matrix is multiplied by its inverse the result will be the identity matrix. If we multiply two matrix with the same size, the resulting matrix will have the same dimension.

Therefore, if we multiply the matrices X and Y we will get a 2x2 identity matrix, as follows:

\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]

7 0
4 years ago
Read 2 more answers
If 15/3 greater than 7, then 15/7 is less than 3 true or false
Ludmilka [50]

Answer:

True

Step-by-step explanation:

15/7 is about 2.14 which is less than 3

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3 years ago
Can someone please help with NUMBER 7?!! It’s my last one I will mark brainliest to the best answer
Nikolay [14]

Answer:

1, 3, 9, 27

Step-by-step explanation:

a_n = 3^{n - 1}

You need the first 4 terms, so let n = 1, and evaluate the expression. Then do the same for n = 2, n = 3, and finally n = 4.

n = 1

a_1 = 3^{1 - 1} = 3^0 = 1

n = 2

a_2 = 3^{2 - 1} = 3^1 = 3

n = 3

a_3 = 3^{3 - 1} = 3^2 = 9

n = 4

a_4 = 3^{4 - 1} = 3^3 = 27

7 0
3 years ago
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