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Orlov [11]
3 years ago
9

Which expression shows the result of applying the distributive property to 3(15x−17) ?

Mathematics
2 answers:
Alina [70]3 years ago
7 0
<span>35x−37 is the answer. I am just filling in the space that is required for this to be a valid answer.
</span>
7nadin3 [17]3 years ago
4 0
35x-37 because 3x×15=35 and 3×-17=-37.
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A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 1 cm/s. At what rate is the
Morgarella [4.7K]

Answer:

  49 cm²/s

Step-by-step explanation:

The problem statement tells you what to do.

Write an equation relating A, b, h:

  A = bh . . . . . . the equation for the area of a rectangle

Differentiate with respect to t:

  dA/dt = (db/dt)h + b(dh/dt) . . . . . . . product rule

To find the rate of change after 18 seconds, you need to know the dimensions b and h after 18 seconds. Since each dimension was increasing at the rate of 1 cm/s, it is 18 cm more than it was at the beginning:

At 18 seconds,

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Of course, db/dt = dh/dt = 1 cm/s. Then the rate of change of area is ...

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_____

You could write a formula for the area as a function of time and differentiate that:

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Then the derivative is ...

  dA/dt = 13 +2t

and when t=18, this is ...

  dA/dt = 13 + 2(18) = 49 . . . . cm²/s

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3 years ago
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Not enough information
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