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BlackZzzverrR [31]

3 years ago

13

A plumber charges customers a $50 fee for house calls, plus $25 per hour that he stays to work. Which linear function best model

s what the plumber will be paid for "x" hours of work for a house call?

1 answer:

Gala2k [10]3 years ago

8 0

The function is: y= 25x + 50

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blondinia [14]

The trick is to exploit the difference of squares formula,

$a^2-b^2=(a-b)(a+b)$

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

$(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2$

Whatever you do to the denominator, you have to do to the numerator too. So

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2$

Expand the numerator:

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}$

So we have

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2$

But √12 = √(3•4) = 2√3, so

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}$

7 0

3 years ago

What is the solution of the system.. explain what it means in the solution

UNO [17]

Answer:

The solution is (4,250)

Step-by-step explanation:

This means that when a member of either gym (A or B) signs up for a four-month membership, they pay the same amount - $250. Hope this helps :)

5 0

3 years ago

Joaquin has a grade of 81 and 70 on her first two algebra test if she wants an average of 73 what possible score can she get on

Anvisha [2.4K]

81 + 70 + x = 3(73)
first multiply 3(73)

81 + 70 + x = 219
combine like terms

151 + x = 219
subtract 151 from both sides

x = 68

Joaquin needs to score a 68 on her next test to maintain an average of 73.

4 0

3 years ago

If three people share 1 / 2 pound of peanuts how much will each person have?

zhenek [66]

About .17 pounds. ( just keep the peanuts to yourself) lol

7 0

3 years ago

The theoretical time for an apple to drop 2 meter is 0.64 second.sam did the experiment himself and measured that it took 0.62 s

nikitadnepr [17]

0.02/0.64*100=3.125℅
The formula is:(/error/divided by right answer) times 100. /means absolute value

4 0

3 years ago