X2y − 7xy + xyz + x Classify the following expression by degree and term

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

7 0

Polynomial degree 3
Term xyz
Coefficient 1

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Sole for y k = p/2(y+w) y =

mojhsa [17]

Answer:

Answer: y = (2k -pw)/p

Step-by-step explanation:

$k = \frac{p}{2} (y + w)$

multiply 2 on both sides:

$k \times 2 = 2 \times \frac{p}{2} (y + w) \\ \\ 2k = p(y + w)$

open the bracket:

$2k = py + pw$

subtract pw from both sides:

$2k - pw = (py + pw) - pw \\ 2k - pw = py$

divide p on both sides:

$\frac{2k - pw}{p} = \frac{py}{p} \\ \\ y = \frac{2k - pw}{p}$

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3 years ago

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Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books

slavikrds [6]

Answer:

2/3

Step-by-step explanation:

Let x be the number of books that Millicent has. So the number of books that Harold has is x/2. And the number of book that Harold is bringing to the new home is (x/2)/3 = x/6.

The home has enough room for another half of Millicent's books, which is x/2. So the total books capacity of the new home is

$\frac{x}{6} + \frac{x}{2} = \frac{x}{6} + \frac{3x}{6} = \frac{4x}{6} = \frac{2x}{3}$

Since x is also the number of books in Millicent's old library capacity, we can conclude that the fraction of Millicent's old library capacity to the new home's library capacity is 2/3, or 2 thirds

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The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m

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Answer:

$\dfrac{dV}{dt}=502.65\ mm^3/s$