Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Find a value for y for which the expression (1-y)(3-y)(6-y) has each given value

i. -70

ii. 120

Sagot :

[tex]\\ \tt\Rrightarrow (1-y)(3-y)(6-y)=-70[/tex]

[tex]\\ \tt\Rrightarrow -y(1+1)(3+1)(6+1)=-70[/tex]

[tex]\\ \tt\Rrightarrow y(2)(4)(7)=70[/tex]

[tex]\\ \tt\Rrightarrow y(56)=70[/tex]

[tex]\\ \tt\Rrightarrow y=\dfrac{70}{56}[/tex]

[tex]\\ \tt\Rrightarrow y=\dfrac{5}{4}[/tex]

#2

[tex]\\ \tt\Rrightarrow (1-y)(3-y)(6-y)=120[/tex]

[tex]\\ \tt\Rrightarrow -y(1+1)(3+1)(6+1)=120[/tex]

[tex]\\ \tt\Rrightarrow -y(2)(4)(7)=120[/tex]

[tex]\\ \tt\Rrightarrow 56y=-120[/tex]

[tex]\\ \tt\Rrightarrow y=\dfrac{-120}{56}[/tex]

[tex]\\ \tt\Rrightarrow y=\dfrac{-15}{7}[/tex]

mhanifa

Answer:

  • i. y = 8, ii. y = -2

Step-by-step explanation:

  • (1 - y)(3 - y)(6 - y) = -70

We can see the divisors are 2 and 3 apart.

i.

Factorize -70 so that divisors are 2 and 3 apart:

  • - 70 = (- 2)*(- 5)*(- 7)

The smallest one is 1 - y and -7:

  • 1 - y = -7
  • y = 1 + 7
  • y = 8

ii

Factorize 120 so that divisors are 2 and 3 apart:

  • 120 = 3*5*8

The smallest one is 1 - y and 3:

  • 1 - y = 3
  • y = 1 - 3
  • y = -2
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.