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Anastasy [175]
3 years ago
11

What is the remainder when x 3 - 7x - 6 is divided by the linear factor x - 4? 4 9 30 36

Mathematics
1 answer:
harina [27]3 years ago
6 0
The equation, dividend, is written below,

    x³ - 7x - 6

The divisor from the given is x - 4. If we are to convert this to equation, we have x = 4. In order to determine the answer to the question above, that is the remainder for the division operation, we substitute the x's of the dividend with 4.
 
    R = (4)³ - (7)(4) - 6 = 30

The answer is the third choice, 30. 
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Step-by-step explanation:

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Suppose that F is an inverse square force field below, where c is a constant.
Andre45 [30]

Answer:

Forces in our Universe

Step-by-step explanation:

a)

First of all we have,

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We need to define a function that allows us to find said change based on r, so one of the functions that shows that change is,

f(r) = - c /|r|

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\nabla f = F

For this case F is a conservative field and the line integral is independent of the path. Thus, defining  P_{1} = (x_{1}, y_{1}, z_{1}) and P_{2} = (x_{2}, y_{2}, z_{2}) . So the amount of work on the movement of the object from P1 to P2 is,

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W= c(\frac{1}{d1}-\frac{1}{d2}  )

2) The gravitational force field is given by,

F(r) =-\frac{mMGr}{ |r|^3}

The maximum distance from the earth to the sun is 1.52*10 ^ 8 km and the minimum distance is 1.47*10 ^ 8km. The mass values of the bodies are given by m = 5.97*10 ^ {24}kg, M = 1.99 *19 ^ {30}kg and the constant G is 6.67 * 10 ^{ -11 } \frac{Nm ^ 2}{kg^2}

In this way we raise the problem like this,

c= -mMG

W= -mMG (\frac{1}{1.52*10 ^ 8} -\frac{1}{1.47*10 ^ 8} )

W= -(5.95*10^{24})(1.99*10^{30})(6.67*10^{-11})(-2.2377*10^{-10})

W \approx 1.77*10^{35}}J

5 0
3 years ago
Joy is making a fruit salad. For every 2 cups of blueberries that Joy uses in the fruit salad, she uses 3 cups of strawberries.
Igoryamba

Joy will need to use 9 cups of strawberries for 6 cups of blueberries.

Step-by-step explanation:

Given,

Cups of blueberries used for 3 cups of strawberry = 2

Ratio of cups of blueberry to strawberry = 2:3

Joy wants to use 6 cups of blueberries.

Let,

x be the cups of strawberry for 6 cups of blueberries.

Ratio of cups of blueberries to strawberries = 6:x

Using proportion;

Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries

2:3::6:x

Product of extreme = Product of mean

2*x=3*6\\2x=18

Dividing both sides by 2

\frac{2x}{2}=\frac{18}{2}\\x=9

Joy will need to use 9 cups of strawberries for 6 cups of blueberries.

Keywords: ratio, proportion, division

Learn more about division at:

  • brainly.com/question/10480770
  • brainly.com/question/10546617

#LearnwithBrainly

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Answer:

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