I need help its math

Mathematics

1 answer:

Degger [83]3 years ago

3 0

Given: w²+9=6w [0, 3, 6, 9]

We need to substitute each number for w and find which works

Sub Zero: 0²+9=6×0

Simplify: 9=0. 9 does not equal 0, so it is not 0

Sub Three: 3²+9=6×3

Simplify: 9+9=18

Addition: 18=18

The statement 18=18 is true, therefore we have our answer.

Answer: The second option is correct. 3 would be the correct number to substitute to make the equation correct.

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d(32) = 28.80

the price Marcus pays on an item with an original price of 32

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d(32) = 32 -0.1(32)

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Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

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Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$