3 years ago

1) Write the explicit formula for the

Mathematics

1 answer:

11111nata11111 [884]3 years ago

5 0

1,5jsnshbsshjdnshsbs

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Thirty seven and twenty five thousandths

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Concept Check: Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measu

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Which number line plots the integers -12,-3,and 7 <br><br>not sure

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Simplify

OlgaM077 [116]

Answer:

see below

Step-by-step explanation:

$\frac{x-1}{x^2-3x+2}+ \frac{x-2}{x^2-5x+6} +\frac{x-5}{x^2-8x+15}$

we need to simplify that

$x^2-3x+2=(x-1)(x-2)\\\\x^2-5x+6=(x-2)(x-3)\\\\x^2-8x+15=(x-3)(x-5)$

so we can continue

$\frac{x-1}{(x-1)(x-2)}=\frac{1}{x-2}\\\\\frac{x-2}{(x-2)(x-3)} =\frac{1}{x-3}\\\\\frac{x-5}{(x-3)(x-5)} =\frac{1}{x-3}$

and we can put all together

$\frac{1}{x-2}+ \frac{1}{x-3}+ \frac{1}{x-3}\\\\\frac{1}{x-2} +\frac{2}{x-3}\\\\\frac{x-3}{(x-3)(x-2)}+ \frac{2(x-2)}{(x-2)(x-3)} \\\\\frac{x-3+2x-4}{(x-3)(x-2)}\\\\\frac{3x-7}{x^2-5x+6}$

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3 years ago

A firefighter determines that 350 feet of hose is needed to reach a particular building. If the hoses are 60 feet in length, wha

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Answer:

6 lengths

Step-by-step explanation:

You essentially want the smallest integer solution to ...

60x ≥ 350

x ≥ 350/60

x ≥ 5 5/6

The smallest integer solution to this is x = 6.

The minimum number of lengths of hose needed is 6.

_____

Informally, you know that dividing the required total length by the length of one hose will tell you the number of required hoses. You also know the ratio 350/60 is equivalent to 35/6 and that this will be between 5 and 6. (5·6 = 30; 6·6 = 36) The next higher integer value will be 6.

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