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3 years ago

What is the vertical asymptote for the reciprocal of y=8x-4

Mathematics

1 answer:

rjkz [21]3 years ago

6 0

Answer:

The vertical asymptote for the reciprocal of y=8x-4 is $\frac{1}{2}$

Step-by-step explanation:

Given Equation : $y = 8x-4$

Reciprocal of given equation = $\frac{1}{y}=\frac{1}{8x-4}$

Now to find the vertical asymptote

$\frac{1}{y}=\frac{1}{8x-4}$

Equate denominator to 0

8x-4=0

8x=4

$x=\frac{4}{8}$

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

So, The vertical asymptote is $\frac{1}{2}$

Hence the vertical asymptote for the reciprocal of y=8x-4 is $\frac{1}{2}$

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Help. Solving Multi Step Ratio Problems!

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Answer:

Part 1) $30\ coupons$

Part 2) $12\ sandwiches$

Part 3) $60\ push-ups$

Part 4) $96\ minutes$

Part 5) $\$95$

Part 6) $1\frac{7}{8}\ cups\ of\ pretzel$

Step-by-step explanation:

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Using proportion

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$\frac{1}{3}=\frac{10}{x} \\\\x=3(10)\\\\x=30\ coupons$

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step 1

Find out how many Kim spent on turkey sandwiches

Subtract $5 from $35

35-5=$30

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Using proportion, find out the number of sandwiches

$\frac{1}{2.50}=\frac{x}{30}\\\\x=30/2.50\\\\x= 12\ sandwiches$

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Using proportion

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Part 4) we know that

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Using proportion

Find out how long in minutes the shark swim 40 miles

Remember that

$1\ h=60\ min$

$\frac{25}{60}\ \frac{miles}{minutes}=\frac{40}{x}\ \frac{miles}{minutes}\\\\x=60(40)/25\\\\x=96\ minutes$

Part 5) we know that

For every bar of soap that Aly sells, she earns $5

For every mug that Janet sells, she earns twice as much as Aly

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using proportion

$\frac{1}{5}=\frac{5}{x}\\\\x=5(5)\\\\x=\$25$

step 2

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using proportion

$\frac{1}{10}=\frac{7}{x}\\\\x=10(7)\\\\x=\$70$

step 3

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$25+70=\$95$

Part 6) we know that

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Convert to mixed number

$\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\ cups\ of\ pretzel$

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