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3 years ago

3^x grows faster than x^3. Explain why.

Mathematics

1 answer:

Allisa [31]3 years ago

3 0

Because 3 is a number and the x is unknow so its just an exponent the x ^ 3 grows three each time

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Mr. Roundtree had 20 tickets. He gave 10 to his family and 8 to his friends.

Ket [755]

He has two tickets left

5 0

3 years ago

Two factory plants are making TV panels. Yesterday, Plant A produced 7000 fewer panels than Plant B did. Four percent of the pan

amid [387]

Step-by-step explanation:

17000

Let the number of panels Plant B produced be x.

$7000(0.04)+0.02x=620 \\ \\ 0.02x=340 \\ \\ x=17000$

8 0

2 years ago

A bag contains 12 white and 8 red marbles. A marble is drawn. find the probability that the marble I) white, ii) red, iii)green,

Molodets [167]

Answer:

The odds would be in faver of the white marble.

Step-by-step explanation:

Hope that helps :)

3 0

3 years ago

Read 2 more answers

Please see attachment

Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

Step-by-step explanation:

Step(i):-

Given function

$f(x) = \frac{-x}{2x^{2} +1}$ ...(i)

Differentiating equation (i) with respective to 'x'

$f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }$ ...(ii)

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }$

Equating Zero

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$2 x^{2}-1 = 0$

$2 x^{2} = 1$

$x^{2} = \frac{1}{2}$

$x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }$

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

$f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }$

put

$x = \frac{1}{\sqrt{2} }$

$f^{ll} (x) > 0$

The absolute minimum value at $x = \frac{1}{\sqrt{2} }$

Step(iii):-

The value of absolute minimum value

$f(x) = \frac{-x}{2x^{2} +1}$

$f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}$

on calculation we get

The value of absolute minimum value = - 0.3536

Final answer:-

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

3 0

3 years ago

If y varies directly with x and y=100 when x=5, what is the value of k?

horrorfan [7]

When it says varies directly, it means that y and x are going to be on opposite sides of the equals sign and that there is a constant, k,

y=kx

Plug in (5,100)

100=k(5)

K=20

7 0

3 years ago