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3 years ago

What is the simplified form of this expression (3x^4)^3

Mathematics

1 answer:

Klio2033 [76]3 years ago

3 0

36, 3x4=12, then after you get 12, it’s multiplied by three which turns to 36!

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What is the simplified form of expression ? 5(14 - 2) to the 2nd power over 2

ser-zykov [4K]

5(14−2)^2/2
=5(12^2)/2=
(5)(144)/2
=720/2=
360

4 0

3 years ago

Read 2 more answers

Find f. f ″(x) = x^−2, x > 0, f(1) = 0, f(6) = 0

marin [14]

If you do in fact mean $f(1)=f(6)=0$ (as opposed to one of these being the derivative of $f$ at some point), then integrating twice gives

$f''(x) = -\dfrac1{x^2}$

$f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1$

$f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2$

From the initial conditions, we find

$f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0$

$f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)$

Eliminating $C_2$ , we get

$(C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))$

$-5C_1 = \ln(6)$

$C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)$

Then

$\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}$

3 0

2 years ago

Which term is an example of a coefficient? * x + y 4x 8 35 + x

kotykmax [81]

Answer:

Step-by-step explanation:

it will always be the Number beside the variables

8 0

3 years ago

Read 2 more answers

34 POINTS - LOGICAL ANSWERS

Alecsey [184]

These are the answer that I got:

A. That means: "The more it costs, the fewer people you can invite."

B. Amount you can spend = M; You will have to come up with this number - whatever you think is reasonable.

C. (C = Cost per person, P = number of people you can invite )

D. You will have two equations. In the first equation, C will be the per-person cost at the first bowling alley. In the second equation, C will be the per-person cost at the second bowling alley.

E. Be sure to think this through. Yes, you will be able to host more guests at the bowling alley with the lowest per-person cost, but is that the only factor you need to consider? What about location? Quality of lanes and bowling equipment? Music? Food? Customer Service? Consider ALL aspects. You might pick the more expensive bowling alley because you feel would have a better experience, or maybe you don't want to invite lots of people anyway.

Hope this helps!

4 0

3 years ago

WILL MARK BRAINLIEST AND WORTH 30 POINTS

BabaBlast [244]

Answer:

The growth factor of f(x) is less than the growth factor of g(x).

Explanation:

$\displaystyle g(x) = 3(4)^x \\ \\ f(x) = 4(3)^x$

x | f(x)

_____

0 | 4

1 | 12

2 | 36

You can tell because the g(x) function is multiplying by 4, while the f(x) function is multiplying by 3.

I am joyous to assist you anytime.

5 0

4 years ago