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ale4655 [162]
3 years ago
7

Find the output values of the exponential function g(x) = 4,096x for x = 0, 0.25, 0.50, 0.75, and 1.

Mathematics
2 answers:
Alex Ar [27]3 years ago
4 0

Hello,g(x)=4096^xg(0)=1g(0.25)=(2^12)^1/4=2^(12/4)=2^3=8g(0.50)=(2^12)^(1/2)=2^6=64g(0.75)=(2^12)^(3/4)=2^9=512g(1)=4096^1=4096.

Ratling [72]3 years ago
4 0

Answer:

Output values for g(x) = 4096^x

Step-by-step explanation:

We are given the following information in the question:

We have to evaluate the given exponential function.

g(x) = 4096^x

g(0) = 4096^0 = 1\\\\g(0.25) = 4096^{0.25} = 8\\\\g(0.50) = 4096^{0.50} = 64\\\\g(0.75) = 4096^{0.75} = 512\\\\g(1) = 4096^1 = 4096

These are the required output values.

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Y is directly related to X, and Yis 81 when X is 27.<br> The constant of variation is
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Answer:

3

Step-by-step explanation:

A direct variation is of the form

y = kx

We know x and y so we can find k

81 = k *27

Divide each side by 27

81/27 = 27k/27

3=k

The constant of variation is 3

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4 years ago
If elephant grass grows 3 1/2 inches a day, how many inches will it grow in 7 days?
vichka [17]

Answer:

the answer is 24 1/2

Step-by-step explanation:

because 3 1/2 times 7 = 24 1/2

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3 years ago
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Delicious77 [7]

4 2/3+5x=7-2x

Add 2x to both sides.

4 2/3+7x=7

Subtract 4 2/3 on both sides.

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7x=7/3

Divide by 7 on both sides.

x=1/3

answer: x=1/3

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4 years ago
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show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this
VLD [36.1K]

Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

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Mr. Cromleigh and his mom stayed at a hotel while in Vegas. If the room was 12ft by 8ft by 9ft, what is the volume of the room?
Komok [63]

Answer:

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Step-by-step explanation:

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