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3 years ago

Finding the inverse of linear functions

Mathematics

1 answer:

mezya [45]3 years ago

7 0

Answer:

y = -1/2x - 4

Step-by-step explanation:

To find the inverse of a linear function, simply switch the x and y positions. Solve for y.

y = -2x - 8

x = -2y - 8

x + 8 = (-2y - 8) + 8

x + 8 = -2y

(x + 8)/-2 = (-2y)/-2

-1/2x - 4 = y

y = -1/2x - 4

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Which of these limits evaluate to 0?

Vikentia [17]

<h3>Answer: C) I and II only</h3>

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Work Shown:

Part I

$\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{2-2}{2+2}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{0}{4}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = 0\\\\\\$

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Part II

$\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{\sin(0)}{0+2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{0}{2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = 0\\\\\\$

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Part III

$\displaystyle \lim_{x \to 5}\frac{x}{x} = \lim_{x \to 5}1\\\\\\\displaystyle \lim_{x \to 5}\frac{x}{x} = 1\\\\\\$

7 0

2 years ago

At the snack bar, hot dogs cost $4 each and bottled water costs $2 each. In the first business hour of the day, less than $12 wo

mart [117]

Answer:

(2, 2)

Step-by-step explanation:

just say it was mental math

7 0

3 years ago

Read 2 more answers

Aryon has $15. He buys 2 Cokes that each cost $1.00. He also buys a

fenix001 [56]

15.00-5.00-2.00-2.00= $6.00

7 0

3 years ago

Simplify <br> 10g + 8g - 5g

hichkok12 [17]

Answer:

13g

Step-by-step explanation:

10g + 8g = 18g

18g - 5g = 13g

7 0

3 years ago

Read 2 more answers

Pls solve if u can <3 much appreciated

Scorpion4ik [409]

Step-by-step explanation:

that is only possible, if we don't need to use a 2 and a 5 (but especially the 2) to create the 1 in the middle (log(10) = log(2×5) or log (5×2) = 1).

in other words, if the 1 in the middle is just a given, and does not use any of our digits for is creation, then a solution is possible.

first of all, the upper left corner has to be log(0⁰). we cannot use the digit 0 for anything else. and 0^n (except for n = 0) is not a valid argument for a logarithm.

log(0⁰) = 0 log(2×1) = 0.3... log(9/4) = 0.35...

log(1×2) = 0.3... 1 log(3×6) = 1.26...

log(7/3) = 0.37... log(4×5) = 1.3... log(6⁹) = 7.0...

but as soon as we need to build the center 1 by log(10), which takes then away one of the 2s (as the only way to build 10 by multiplication is 2×5 or 5×2), there is no possible solution.

7 0

2 years ago