hayleeann1717 hayleeann1717
  • 13-01-2021
  • Mathematics
contestada

A swimming pool has a depth of d inches, a length of 8d + 5 inches and a volume of 32d3 - 4d2 - 15d cubic inches. Find the width of the pool.

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SvetlanaM
SvetlanaM SvetlanaM
  • 13-01-2021

Answer:  4d-3

Step-by-step explanation:

A width of a pool is:

[tex]\dfrac{32d^{3}-4d^{2}-15d }{d \cdot (8d+5)}=\dfrac{d\left(32d^2-4d-15\right)}{d\left(8d+5\right)}=\dfrac{32d^2-4d-15}{8d+5}=\dfrac{\left(8d+5\right)\left(4d-3\right)}{8d+5}=\\\\=4d-3[/tex]

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