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3 years ago

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I WILL MARK BRAINLIEST!!!!!! A direct variation function includes the ordered pair (4, 5). If y varies directly with x, and y is

14 when x is 2, what is the value of x when y is 35?

1 answer:

nignag [31]3 years ago

6 0

Answer: x=5

Step-by-step explanation:

$\frac{2}{14} =\frac{x}{35}$

$\frac{x}{35}=\frac{2}{14}$

simplify

$\frac{x}{35}=\frac{1}{7}$

multiply 35 on both sides

$\frac{35x}{35}=\frac{1\cdot \:35}{7}$

$\frac{1}{7} \cdot 35=5$

x=5

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Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

alex41 [277]

Answer:

<u><em>The satisfied table of the given function</em></u> $y = log_{b} (x)$ <u><em></em></u>

<em>x 1/8 1/4 1/2 1 2</em>

<em>y -3 -2 -1 0 1</em>

<em></em>

Step-by-step explanation:

<u><em>Explanation</em></u> :-

Given logarithmic function $y = log_{b} (x)$ if b >1

Given first table

i)

put x = $\frac{1}{8}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{8} )$

$y = log_{2} (2^{-3} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3$

<em>y = -3</em>

<em>ii)</em>

<em>put x = </em> $\frac{1}{4}$ <em> given b > 1 so we can choose b = 2</em>

<em></em> $y = log_{2} (\frac{1}{4} )$ <em></em>

<em></em> $y = log_{2} (2^{-2} )$ <em></em>

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2$

<em>y = -2</em>

<em>iii) </em>

<em>put x = </em> $\frac{1}{2}$ <em> given b > 1 so we can choose b = 2</em>

<em></em> $y = log_{2} (\frac{1}{2} )$ <em></em>

$y = log_{2} (2^{-1} )$

<em>we will apply logarithmic formula </em>

<em>log x ⁿ = n log (x)</em>

$y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1$

<em>y = -1</em>

<em>iv) </em>

<em>put x = 1 given b > 1 so we can choose b = 2</em>

<em></em> $y = log_{2} (1 )$ <em> = 0</em>

<em>y = 0</em>

<em>v) </em>

<em>put x = </em> $2$ <em> given b > 1 so we can choose b = 2</em>

$y = log_{2} (2 )$

<em>y = 1</em>

<em></em>

<u><em>Final answer:-</em></u>

<u><em>The satisfied table of the given function</em></u>

<em>x 1/8 1/4 1/2 1 2</em>

<em>y -3 -2 -1 0 1</em>

<em></em>

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Please help me!!! I will give brainliest to the person who explains their answer the best!!

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Answer:

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Answer:3/8

Step-by-step explanation:

The simplest form of

15 /40 is 3 /8 .

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

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Divide both the numerator and denominator by the GCD

15 ÷ 5

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Reduced fraction:

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Therefore, 15/40 simplified to lowest terms is 3/8.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

35.50*3247=115268.50

35.50*3542=125741.00

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