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3 years ago

Which table shows values for the function y=2(1/2)^x

Mathematics

1 answer:

Talja [164]3 years ago

6 0

y=2(1/2)^x

x = 0; y=2(1/2)^0 = 2(1) = 2
x = 1; y=2(1/2)^1 = 2(1/2) = 1

answer is the last one.

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I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

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2 years ago

Write 8 * 10^-7 in standard form 8*10^-7 =____

tino4ka555 [31]

Answer:

0.0000008

Step-by-step explanation:

Given

8*10^-7

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8*10^-7 = 8*0.0000001 = 0.0000008

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3 years ago

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Work out the percentage change to 2 decimal places when a price of £70 is increased to £99

MaRussiya [10]

Answer:

41.43%

Step-by-step explanation:

Change:

99 - 70 = 29

% change:

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= 41.42857143%

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3 years ago

Tom works for a company his normal rate of pay 15 per hour

Brrunno [24]

The amount earned by Tom is the product of the rate per hour and the number of hours worked which is $90.

The amount earned per hour = $15

The number of hours worked = 6 hours

The amount earned at the normal earning rate can be calculated thus :

Normal rate per hour × number of hours

Amount earned = $15 × 6 = $90

Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.

Learn more : brainly.com/question/18796573

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2 years ago

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Select the correct answer. Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting

Natalija [7]

So I have a illustration

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