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tiny-mole [99]
3 years ago
15

A boy has 6 red , 5 yellow and 2 green marbles. In how many ways can the boy arrange the marbles in a line if all marbles have d

ifferent sizes?
Mathematics
1 answer:
Natalija [7]3 years ago
3 0

Answer:

The boy can arrange them in 2 different ways

Step-by-step explanation:

By color '

By size ; mass

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Solve the equation for x
Rasek [7]

Answer:

the answer is 5

Step-by-step explanation:

2x/5 - 9 = -7

2x/5      = -7 + 9

2x/5      = 2

2x         = 2 * 5

2x         = 10

x            = 10/2

x            = 5

5 0
3 years ago
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What is the value of x in the figure shown
LiRa [457]

Answer:

x = 66

Step-by-step explanation:

Have a nice day

7 0
3 years ago
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Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a)
Anna35 [415]

Rolle's Theorem does not apply to the function because there are points on the interval (a,b) where f is not differentiable.

Given the function is f(x)=\sqrt{(2-x^{\frac{2}{3}})^{3}}  and the Rolle's Theorem does not apply to the function.

Rolle's theorem is used to determine if a function is continuous and also differentiable.

The condition for Rolle's theorem to be true as:

  • f(a)=f(b)
  • f(x) must be continuous in [a,b].
  • f(x) must be differentiable in (a,b).

To apply the Rolle’s Theorem we need to have function that is differentiable on the given open interval.

If we look closely at the given function we can see that the first derivative of the given function is:

\begin{aligned}f(x)&=\sqrt{(2-x^{\frac{2}{3}})^3}\\ f(x)&=(2-x^{\frac{2}{3}})^{\frac{3}{2}}\\ f'(x)&=\frac{3}{2}(2-x^{\frac{2}{3}})^{\frac{1}{2}}\cdot \frac{2}{3}\cdot (-x)^{\frac{1}{3}}\\ f'(x)&=\frac{-\sqrt{2-x^{\frac{2}{3}}}}{\sqrt[3]{x}}\end

From this point of view we can see that the given function is not defined for x=0.

Hence, all the assumptions are not satisfied we can reach a conclusion that we cannot apply the Rolle's Theorem.

Learn more about Rolle's Theorem from here brainly.com/question/12279222

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8 0
2 years ago
If y varies directly with x, and y is 6
Dvinal [7]

Answer:

12

Step-by-step explanation:

see the pic for the steps

6 0
3 years ago
How many solutions does this problem have <br> Y=-2x -4<br> Y= 3x plus 3
S_A_V [24]

Answer:

There is one possible solution

Step-by-step explanation:

Here, we want to get the number of solutions

We can proceed to solve the equation

we have two y values so we can directly equate the x parts

-2x - 4 = 3x + 3

3x + 2x = -3-4

5x = -7

x = -7/5

To get y, we substitute

We can only get one value of y too

So we have a point (x,y) as the solution to the system of equations

7 0
3 years ago
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