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zimovet [89]
3 years ago
7

Judah worked at the bakery for 14 hours last week. He spent $12 of his earnings on a cake for his father’s birthday. If he was l

eft with $86 after buying the cake, what is Judah’s hourly wage?
Mathematics
2 answers:
mixer [17]3 years ago
8 0

Answer:

$7 per hour

Step-by-step explanation:

$86+ 12( the money he spent on the birthday cake)=$98

$98 divided by 14=7

Irina-Kira [14]3 years ago
7 0

Answer:

Judah's hourly wage is $7/hr.

Step-by-step explanation:

x = (86 + 12)/14

x = 98/14

x = 7

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Answer:

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Step-by-step explanation:

We are given that

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3 years ago
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hammer [34]

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√(<em>x</em> ² - 4) = 1

<em>x</em> ² - 4 = 1

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We're looking at <em>x </em>≤ 0, so we take the negative square root, <em>x</em> = -√5.

This means <em>f</em> (-√5) = 1, or in terms of the inverse of <em>f</em>, we have <em>f</em> ⁻¹(1) = -√5.

Now apply the inverse function theorem:

If <em>f(a)</em> = <em>b</em>, then  (<em>f</em> ⁻¹)'(<em>b</em>) = 1 / <em>f '(a)</em>.

We have

<em>f(x)</em> = √(<em>x</em> ² - 4)   →   <em>f '(x)</em> = <em>x</em> / √(<em>x</em> ² - 4)

So if <em>a</em> = -√5 and <em>b</em> = 1, we get

(<em>f</em> ⁻¹)'(1) = 1 / <em>f '</em> (-√5)

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The sign must be negative; see the attached plot, and take note of the negatively-sloped tangent line to the inverse of <em>f</em> at <em>x</em> = 1.

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